A?IIEOeUeEEE AeA?AEAAIEE OAOI?*IEE OI?AA?NEOAO

THOEI*OE NA?A?E AANEEUeIAE*

OAeE 681.5.03.037.8+681.5.01.012

IIAOAeIAA IAOIAeIEIA?? IAOAIAOE*IIAI IIAeAETHAAIIss IAE?I?EIEO
IANOAOe?IIA?IEO NENOAI AeEss CAAeA* IOe?IEE ?O NO?EEINO? OA *OOEEAINO? A
I?INOI?? I?E?INO?A IA?AIAO??A

Niaoe?aeuei?noue 01.05.02 — iaoaiaoe/ia iiaeaethaaiiy oa ia/enethaaeuei?
iaoiaee

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

aeieoi?a oaoi?/ieo iaoe

A?IIEOess — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia o A?iieoeueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
I?i?noa?noaa ina?oe Oe?a?ie.

Iaoeiaee eiinoeueoaio
aeieoi? oaoi?/ieo iaoe, i?ioani?,

Caneoaeaiee ae?y/ iaoee ? oaoi?ee Oe?a?ie Iie?i Ai?en ?aaiiae/,

A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, ?aeoi?.

Io?oe?ei? iiiiaioe:
aeieoi? oaoi?/ieo iaoe, i?ioani?,

Caneoaeaiee ae?y/ iaoee ? oaoi?ee Oe?a?ie ?aaiaiei A?eoi? ?aaiiae/,

Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie ”EI?”,

caa?aeoaa/ eaoaae?e iaoaiaoe/iiai iiaeaethaaiiy

aeiiii?/ieo nenoai;

aeieoi? oaoi?/ieo iaoe, i?ioani?, Ea?oiee ?iiai Iaoiiae/,

A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao,

caa?aeoaa/ eaoaae?e aaoiiaoeee oa

?ioi?iaoe?eii — aei??thaaeueii? oaoi?ee;

aeieoi? oaoi?/ieo iaoe, aeioeaio, Ieoaeueia Ieaenaiae? ?ee?/,

Aea?aeaaia iaoaeo?a?eia aeaaeai?y Oe?a?ie, i?ioani? eaoaae?e

i?eeeaaeii? iaoaiaoeee ? ia/enethaaeueii? oaoi?ee.

I?ia?aeia onoaiiaa: ?inoeooo e?aa?iaoeee ?iai? A.I. Aeooeiaa IAI
Oe?a?ie, a?aeae?e iaoaiaoe/ieo nenoai iiaeaethaaiiy i?iaeai aeieia?? oa
aia?aaoeee, i. Ee?a.

Caoeno a?aeaoaeaoueny ”15”ea?oiy1999 ?. i 930aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 05.052.01 o A?iieoeueeiio aea?aeaaiiio
oaoi?/iiio oi?aa?neoao? ca aae?anith: 286021, i. A?iieoey,
Oiaeueieoeueea oina, 95.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? A?iieoeueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo.

Aaoi?aoa?ao ?ic?neaiee ”12”aa?aciy1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Eeniai?
A.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Ieoaiiy ioe?iee no?eeino? iae?i?eieo
ianoaoe?iia?ieo nenoai o iei?oi?e /an oe?eaaeoue oe?iea eiei oao?aoe?a,
ye? i?aoeththoue o ??cieo aaeocyo iaoee ? oaoi?ee. Aeey aoaeoeaiiai
?ica’yceo caaea/, ye? aeieeathoue i?e i?iaeooaaii? aaaaoueio oaoi?/ieo
nenoai, iaiao?aei? c?o/i? a canoinoaaii? oa aeinooii? ?iaeaia?ai iaoiaee
aiae?co no?eeino? iae?i?eieo ianoaoe?iia?ieo nenoai.

Ae?enii, i?iaeoaioe ethaeo aaoiiaoe/ieo nenoai, ye i?aaeei, ia iathoue
oi/ii? ?ioi?iaoe?? i?i ae?eni? cia/aiiy ia?aiao??a ia’?eo?a oi?aae?iiy,
eiio?ieth /e aei??thaaiiy. sseui i???iooaaoeny i?e ?ic?aooieao ia aeaye?
ai??i?i? aeai? i?i cia/aiiy a?aeiia?aeieo ia?aiao??a, iaiao?aeii aooe
aiaaiaiei, ui i?e iiaeeeaeo a?aeoeeaiiyo a?ae oeeo aeaieo aaoiiaoe/i?
nenoaie ia noaiooue iano?eeeie, a ?o iieacieee yeino? ia aoaeooue
nooo?ai a?aeoeeyoeny a?ae ?ic?aooieiaeo. Oae? caaea/? ?ica’ycothoueny o
iaaeao iiaiai iaoeiaiai iai?yieo, yeee noi?ioaaany o 80 — o ?ieao, —
oai??? ?iaanoii? no?eeino?.

Iacaaaeath/e ia aaeeeo e?euee?noue ioae?eaoe?e, ye? i?enay/ai? oai???
?iaanoii? no?eeino?, aeey iae?i?eieo ianoaoe?iia?ieo nenoai aei oeueiai
/ano ia io?eiaii inoaoi/iiai ?ica’yceo caaea/ ioe?iee ?o no?eeino?. I?e
oeueiio aiae?c io?eiaieo ?acoeueoao?a iieacaa, ui o iaaeao ?nioth/eo
?iaanoieo iaoiae?a iaiiaeeeai ioe?ieoe aieea ia?aeiieo ia?aiao??a eeano
nenoai, ui ?icaeyaea?oueny, ia no?ee?noue i?e iien? ?o iiaaae?iee o
i?inoi?? ci?iieo noai?a.

Oaeei /eiii, ?ic?iaea a?eueo aoaeoeaieo iaoiae?a ioe?iee no?eeino?
iae?i?eieo ianoaoe?iia?ieo nenoai, eeoa?oueny aeooaeueiith iaoeiaith
i?iaeaiith oai??? iiaeaethaaiiy oa aaoiiaoe/iiai eiio?ieth ? oi?aae?iiy.

?ic?iaea iiaeo iaoiae?a ioe?iee no?eeino? oaeiai eeano nenoai ia?
iniaeeaa cia/aiiy aeey ?icaeoeo iaoee oa ae?iaieoeoaa a Oe?a?i?, ai aea?
iiaeeea?noue, i?e ai?iaaaeaeaii? io?eiaieo ?acoeueoao?a, noai?eoe iiaee
eean cania?a ae?aaiinooaaiiy i?aoeacaeaoiino? oe?ieiai eeano nenoai, —
ianaiia?aae a aeaeo?iaia?aaoeoe? oa ?ioi?iaoe?eii — aei??thaaeuei?e
oaoi?oe?. E??i oiai, oae? iaoiaee iiaeooue ciaeoe i?aeoe/ia canoinoaaiiy
i?e ?ic?iaoe? nenoai eiio?ieth ca aeo?aoaie an?o aeae?a aia?ai?ano?n?a
ia i?iieneiaeo i?aei?e?inoaao Oe?a?ie, ?ic?iaoe? iiaeo aei??thaaeueieo
i?eno?i?a iae?eo aeo?ao aaco, — iniaeeai aeooaeueieo aeey Oe?a?ie,
i?iieneia?noue yei? iio?aao? cia/iiai iie?auaiiy iia?aoeaiino? oa
oi/iino? iae?eo aeo?ao aia?aiiin??a, ui ? ia?oei e?ieii aei ?o
caiuaaeaeaiiy.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie.

?iaioa aeeiioaaeanue o a?aeiia?aeiino? c i?iaeoii Aea?aeaaiiai oiiaeo
ooiaeaiaioaeueieo aeine?aeaeaiue Oe?a?ie ”?ic?iaea ?iaanoieo iaoiae?a
aiae?co iae?i?eieo nenoai aaoiiaoe/iiai ea?oaaiiy aeeiai?/ieie
ia’?eoaie”, caoaa?aeaeaiiio iaeacii AeEIOI Oe?a?ie a?ae 22.03.1994, ?52
(? aea?ae. ?a?no?. 0194U042191); aea?aeaaiith iaoeiai — oaoi?/iith
i?ia?aiith 04.00 ”Aeieia?/ii /enoa aia?aaoeea oa ?ano?nicaa??aath/?
oaoiieia??” (oeo? caaaeaiiy 05.51.03./419 — 92, caoaa?aeaeaiiai
Iinoaiiaith Eii?oaoo ii iaoeiai — oaoi?/iiio i?ia?ano i?e Eaa?iao?
I?i?no??a Oe?a?ie a?ae 04.05.1992 ?. ? 12 oa iaeacii AeEIOI Oe?a?ie a?ae
01.03.1993 ?. ?15, ? aea?ae. ?a?no?. 0193U002771); eii?aeeiaoe?eiei
ieaiii iaoeiai — aeine?aeieo ?ia?o I?i?noa?noaa ina?oe Oe?a?ie ca
oaoiaei iai?yiii ”?ioi?iaoeea ? iia? ?ioi?iaoe?ei? oaoiieia??”,
caoaa?aeaeaiei iaeacii I?i?noa?noaa ina?oe Oe?a?ie a?ae 13.02.1997 ?.
?37 (? aea?ae. ?a?no?. 0197U012665), a oaeiae c oaiaoe/ieie ieaiaie
i?iaaaeaiiy IAeAeE? o A?iieoeueeiio iie?oaoi?/iiio ?inoeooo? (AI?) oa
A?iieoeueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao? (AAeOO) ia
ainiaeiaia??ieo canaaeao c AI ”A?iieoeyaia?ai”(? aea?ae. ?a?no?.
01880044245), c Aea?aeaaiei eiioea?iii Oe?a?ie ”A?en?” (i.Aiy?ea,
Ee?anueea iaeanoue)(? aea?ae. ?a?no?. 0194U008791), AI
”O?ii?ii”(i.A?iieoey) (? aea?ae ?a?no?. 0194U025745), Eaaeeaeeinueeith
Ae?AN (i.Eaaeeaeei, A?iieoeueei? iaeano?) (? aea?ae. ?a?no?.
0195U003915), AAO ”A?iieoeyaac” (? aea?ae. ?a?no?. 0194U044166), a
oaeiae c oaiaoe/ieie ieaiaie i?iaaaeaiiy IAeAeE? o AI? oa AAeOO ca
?aooiie eioo?a aea?aeaaiiai athaeaeaoo, ocaiaeaeaieie I?i?noa?noaii
ina?oe Oe?a?ie (? aea?ae. ?a?no?. 0191000320,0193U029093, 0194U016744).

Iaoa ? caaea/? aeine?aeaeaiiy.

Iaoith aeine?aeaeaiiy ? ?ic?iaea iaoiaeieia??, yea a aeicaieyea
?ica’ycoaaoe caaea/? ?iaanoii? no?eeino? iae?i?eieo ianoaoe?iia?ieo
nenoai oeyoii iaoaiaoe/iiai iiaeaethaaiiy oa ?? aeei?enoaiiy aeey
iiaoaeiae iiaeo ?ioi?iaoe?eii — aei??thaaeueieo nenoai oa
aei??thaaeueieo i?eno?i?a. Aeey aeinyaiaiiy oe??? iaoe iaiao?aeii
ae??oeoe ianooii? caaea/?:

A?aeiaeoe iiaee i?ino?? iieno iiaaae?iee iae?i?eieo ianoaoe?iia?ieo
nenoai, aaeaeaaoii oeth iiaaae?ieo a?aeia?aaeath/ee.

Iiaoaeoaaoe iaoiaeieia?th ?ica’yceo caaea/ ?iaanoii? no?eeino? eeano
nenoai, ui ?icaeyaeathoueny, a cai?iiiiiaaiiio i?inoi?? iieno.

I?aeoaa?aeeoe aoaeoeai?noue cai?iiiiiaaiiai i?aeoiaeo oeyoii ?ica’yceo
caaea/ ioe?iee ?iaanoii? no?eeino? eiie?aoieo iae?i?eieo nenoai.

Oeyoii iaoaiaoe/iiai iiaeaethaaiiy ae??oeoe caaea/o ioe?iee ?iaanoii?
no?eeino? oa iioei?caoe?? ia?aiao??a iaeiiai oe?ieiai eeano iae?i?eieo
ianoaoe?iia?ieo nenoai a aeaeo?iaia?aaoeoe?.

?ic?iaeoe iaoiaee oa aeai?eoie ioe?iee ?iaanoii? no?eeino? iae?i?eieo
nenoai, ye? aeiioneathoue e?iaa?ecaoe?th, ui aeicaieythoue ?ica’ycoaaoe
caaea/? ioe?iee i?aoeacaeaoiino? oaeiai eeano nenoai, oa caaea/?
a?aeiiaeaiiy neaiae?a c iaoith i?aeaeuaiiy oi/iino? ?ica’yceo caaea/
ioe?iee no?eeino?, o /anoioi?e iaeano?.

Ia iniia? ?ic?iaeaieo aeai?eoi?a neioacoaaoe no?oeoo?e i?eno?i?a, ye?
aeicaieythoue aaoiiaoecoaaoe i?ioeane i?eeiyooy a?aeiia?aeieo ??oaiue oa
a?aeiiaeaiiy neaiae?a aei??thaaeueieo ia?aoai?thaa/?a.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a.

A ?iaio? io?eiai? ianooii? iaoeia? ?acoeueoaoe:

Aia?oa cai?iiiiiaaii cae?enithaaoe iien iiaaae?iee iae?i?eieo
ianoaoe?iia?ieo nenoai o iiaiio i?inoi?? — i?inoi?? i?e?ino?a
ia?aiao??a. Iiaoaeiaaia iaoiaeieia?y ?ica’yceo caaea/ ?iaanoii?
no?eeino? eeano nenoai, ui ?icaeyaeathoueny, o cai?iiiiiaaiiio i?inoi??
iieno.

Aia?oa cae?eniaii ocaaaeueiaiiy iaoiaeo iienoth/eo ooieoe?e aeey
iaeiicia/ieo oa iaiaeiicia/ieo oeiiaeo iae?i?eiinoae i?e ??cieo
oa?aeoa?ao ci?ie ?o ia?aiao??a.

Ia iniia? io?eiaieo ?acoeueoao?a iiaoaeiaaia iaoiaeieia?y aiae?co
iae?i?eieo ianoaoe?iia?ieo nenoai oa io?eiai? iia? iaoeia? ?acoeueoaoe —
?ica’ycaia cai?ioiy caaea/a ?iaanoii? no?eeino? aeey aeayeeo eean?a
iae?i?eieo ?ioi?iaoe?eii — aei??thaaeueieo nenoai ?c ci?iieie
ia?aiao?aie.

A ?aieao cai?iiiiiaaii? iaoiaeieia?? ?ica’ycaia caaea/a ?iaanoii?
no?eeino? aaaeeeaiai eeano nenoai ea?oaaiiy a aeaeo?iaia?aaoeoe? — NA?
neeiaeo o?ainoi?iaoi??a c i?eno?iyie ?aaoethaaiiy i?ae iaaaioaaeaiiyi,
ye? ? iae?i?eieie ianoaoe?iia?ieie nenoaiaie, o no?oeoo?o yeeo aoiaeyoue
?iioeueni? oa eia?/i? aeaiaioe. O ?iai/iio ae?aiacii? ci?ie ia?aiao??a,
a yeiio caa??aa?oueny aeanoea?noue no?eeino? oaeeo NA?, aia?oa
cae?eniaia ?o ia?aiao?e/ia iioei?caoe?y.

Cae?eniaii iiaeaeueoee ?icaeoie iaoiaeieia?? Oo?’? — ?ioaa?aeueiiai
iaoiaeo ?aeaioeo?eaoe?? ia caaea/? ioe?iee no?eeino? oa ae?aaiinoeee
noaio iae?i?eieo ianoaoe?iia?ieo nenoai, ui aeicaieeei cai?iiiioaaoe
ooieoe?iiaeuei? noaie i?eno?i?a, oaoi?/ia iiaecia yeeo caoeuaia
aaoi?nueeeie na?aeioeoaaie N?N? ia aeiaoiaee, iaoaioaie Oe?a?ie oa
?in?enueei? Oaaea?aoe??.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a.

Iaea?aeai? iaoeia? ?acoeueoaoe ai?iaaaeaeai? ia OAOe i?aei?e?inoaa
oaieiaeo ia?aae (IOI) IAI ”A?iieoeyaia?ai”, ia Aea?aeaaiiio eiioea?i?
Oe?a?ie ”A?en?” (i. Aiy?ea, Ee?anueei? iaeano?), ia AI ”O?ii?ii” (i.
A?iieoey), ia Eaaeeaeeinuee?e OAN (i. Eaaeeaeei, A?iieoeueei? iaeano?),
AAO ”A?iieoeyaac” oa ia A?oaanueeiio oaeaa?c?eiiio caaiae? AI ”A?oycue”
(i. A?oaanuee, ?anioae?ea A?ei?onue). Ai?iaaaeaeaiiy
i?aeoaa?aeaeothoueny a?aeiia?aeieie aeoaie.

Aeei?enoaiiy iaea?aeaieo o ?iaio? ?acoeueoao?a aeicaieeei ?ic?iaeoe
i?iieneiaee ia/enethaa/ ia’?io aaco ”Oi?aa?nae”, yeee ca?a?no?iaaiee o
Aea?aeaaiiio ?a?no?? cania?a aei??thaaeueii? oaoi?ee, aeiiouaieo aei
canoinoaaiiy a Oe?a?i? ca ? O759 — 97, ui i?aeoaa?aeaeo?oueny
na?oeo?eaoii caoaa?aeaeaiiy oeio cania?a aei??thaaeueii? oaoi?ee,
aeaeaiei Aea?aeaaiei eii?oaoii Oe?a?ie ii noaiaea?oecaoe??, iao?ieia??
oa na?oeo?eaoe?? (Aea?aenoaiaea?oii Oe?a?ie) ca ?UA — I1/1 — 167 — 97,
aeaeaiei 18.11.1997 ?ieo oa na?oeo?eaoii a?aeiia?aeiino? cania?a
aei??thaaeueii? oaoi?ee caoaa?aeaeaiiio oeio, aeaeaiei Aea?aenoaiaea?oii
Oe?a?ie ca ?UA — I1/2 — 119 — 97 18.11.1997 ?ieo. Aeuaiacaaiee
ia/enethaa/ aeo?ao aaco aeicaieaii na??eii aeioneaoe A?iieoeueeiio
aea?aeaaiiio oaoi?/iiio oi?aa?neoaoo.

Iaea?aeai? iaoeia? ?acoeueoaoe, ye? aeei?enoai? i?e ?ic?iaoe? nenoai
eiio?ieth oa iae?eo an?o aeae?a aia?ai?ano?n?a oa OAOe IOI IAI
”A?iieoeyaia?ai”, Aea?aeaaiiio eiioea?i? ”A?en?” oa AI ”O?ii?ii”,
aeicaieeee i?aeaeueoe oi/i?noue oa iia?aoeai?noue eiio?ieth ca
ae?ia?oeii oa niiaeeaaiiyi iniiaieo aia?ai?ano?n?a ia i?iieneiaeo
i?aei?e?inoaao (aeaeo?e/ii? aia?a??, ia?aa??oi? ia?e, oieiaeii? oa
aa?y/i? aiaee, noeneiai iia?o?y, oiui), ui aea? iiaeeea?noue iia?aoeaii
eiio?iethaaoe niiaeeaaiiy aia?ai?ano?n?a, cae?enithaaoe caoiaee ii
ciaioaiith ?o aeo?ao.

Ai?iaaaeaeaiiy nenoai eiio?ieth oa iae?eo an?o aeae?a aia?ai?ano?n?a
o?eueee ia OAOe IOI IAI ”A?iieoeyaia?ai” oa eiioea?i? ”A?en?” aeaei
aeiiii?/iee aoaeo a?eueoa 80 oen. ?oae?a o oe?iao ia 1n?/iy 1991 ?ieo.

Ia Eaaeeaeeinuee?e OAOe ai?iaaaeaeai? ?acoeueoaoe ?iaioe i?e noai?aii?
eiii’thoa?ieo nenoai i?aeaioiaee iia?aoi??a, ui aeicaieeei aeineoue
i?inoi, ii??aiyii c ?nioth/eie iaoiaeaie, ?aae?coaaoe aeai?eoie ioe?iee
no?eeino? oa ae?aaiinoeee noaio nenoai oi?aae?iiy oaoiieia?/ieie
i?ioeanaie ia aeai?e OAOe oa i?aeaeueoe oi/i?noue ??oaiiy oaeeo caaea/.

Ia A?oaanueeiio oaeaa?c?eiiio caaiae? AI ”A?oycue” ai?iaaaeaeaia
iaoiaeeea ioe?iee /ooeeaino? aeo?aeiiai neaiaeo ?ioi?iaoe?eii —
aei??thaaeueieo nenoai ia?iaeyth/eo oeaio??a oeio ”?iaeeeaoi? eiioaeoo”
aei ci?ie ia?aeiieo ia?aiao??a oaeeo nenoai, ui aeicaieeei i?aeaeueoe
oi/i?noue aei??thaaiiy ?ici???a aeaoaeae, ui ia?iaeythoueny.

Ai?iaaoe?y ?acoeueoao?a.

Aeeeaaeai? a aeena?oaoe?? ?acoeueoaoe aeine?aeaeaiue aoee ii?eethaeiai?
ia 46 iaoeiaeo eiioa?aioe?yo, neiiic?oiao, na?aae ieo : ”Aaaa??inuee?
iaoeia? /eoaiiy c einiiiaaoeee oa aa?aoe??” (i. Iineaa, 1985?.),
Ananithcia iaoeiai — oaoi?/ia eiioa?aioe?y (IOE) ”No?oeoo?ia oa
iieiiiiiaioia ae?aaiinooaaiiy i?eno?i?a ?aae?iaeaeo?iiii? aia?aoo?e”
(i.Iineaa, 1986 ?.), IV Ananithcia ia?aaea ”Iaae?ei?noue, aeeao/?noue oa
aaciaea aaoiiaoeciaaieo eiiieaen?a” (i. Iineaa, 1988 ?.),Ananithcia IOE
”Oaoi?/ia oa i?ia?aiia caaacia/aiiy eiiieaen?a iai?aiaoo?iiai
iiaeaethaaiiy” (i. Iineaa, 1988 ?.), ??? oa IV ?aaeyinueei — iieuenueea
IOE ”Eiiieaenia aaoiiaoecaoe?y o i?iieneiaino?” (A?ioeeaa, 1988 ?; Ee?a,
1990 ?.), Ananithci? IOE ”Aei??thaaeuei? ?ioi?iaoe?ei? nenoaie” (A?N-85,
91) (i. A?iieoey, 1985 ?., i. Naieo — Iaoa?ao?a, 1991?.), ??
i?aeia?iaeia IOE ”Aeooaeuei? i?iaeaie ooiaeaiaioaeueieo iaoe” (i.
Iineaa, 1994 ?.), ?, ?? oa IV Anaoe?a?inuee? eiioa?aioe?? c ia?iaee
neaiae?a ? cia?aaeaiue oa ?ici?ciaaaiiy ia?ac?a (OE?IA?AC — 92, 94, 98)
(i. Ee?a, 1992, 1994, 1998 ?iee), I?aeia?iaei?e IOE ”?ioi?iaoe?ei?
oaoiieia?? ? nenoaie” (i. Euea?a, 1993?.), ? — IV i?aeia?iaeieo IOE
”Eiio?ieue ? oi?aae?iiy a oaoi?/ieo nenoaiao (EOON — 92, 93, 95, 97) (i.
A?iieoey, 1992, 1993, 1995, 1997 ?iee), Anana?oiueiio eiia?an? ITS-93
”?ioi?iaoe?ei? eiioi?eaoe??, ia?aae?, nenoaie ? oaoiieia??” (i. Iineaa,
1993?.), ? — IV Oe?a?inueeeo eiioa?aioe?yo ii aaoiiaoe/iiio oi?aae?iith”
(Aaoiiaoeea — 94, 95, 96, 97) (i. Ee?a, 1994?., i. Euea?a, 1995?., i.
Naaanoiiieue, 1996?., i. *a?eane, 1997?.), I?aeia?iaeiee IOE
”Iaoaiaoe/ia iiaeaethaaiiy a aeaeo?ioaoi?oe? oa aeaeo?iaia?aaoeoe?” (i.
Euea?a, 1995?.), Ana?in?enuee?e IOE ”Aaoiiaoecaoe?y aeine?aeaeaiue,
i?iaeooaaiiy oa aei?iaoaaiiy neeaaeieo oaoi?/ieo nenoai ? oaoiieia?/ieo
i?ioean?a” (i. Eaeoaa, 1995?.), V Oe?a?inuee?e IOE ”I?eno?i?
ia?aoai?aiiy ?ioi?iaoe?? aeey eiio?ieth ? oi?aae?iiy a aia?aaoeoe?” (i.
Oa?uee?a, 1996?.), I?aeia?iaei?e eiioa?aioe?? ii iaoaiaoe/iiio
iiaeaethaaiith (i. Oa?nii, 1998?.).

Iaoaio ?in?enueei? Oaaea?aoe?? ?2069045 ”I?iieneiaee e?/eeueiee aeo?ao
aaco”, na?aae aaoi??a yeiai ? iiooeoaa/, aeaiiino?oaaany ia
I?aeia?iaei?e aenoaaoe? aeiaoiae?a oa iiaeo ?aeae ”Genius-96” (i.
Aoaeaiaoo, Oai?ueia), ia ??? I?aeia?iaei?e aenoaaoe? aeiaoiae?a, ?aeae
oa iio — oao ”Inventica-96” (i. ssne, ?oioi?y). Ia aenoaaoe? o i. ssne
iaoaio iaai?iaeaeaiee aeeieiiii c iniaeeaith a?aeciaeith i?aeia?iaeiiai
aeo?? oa cieioith iaaeaeeth.

Ioae?eaoe??.

?acoeueoaoe aeena?oaoe?? iioae?eiaai? o iiiia?ao??, iaa/aeueiiio
iin?aieeo, 14 noaooyo o iaoeiaeo aeo?iaeao, 3 ca??ieeao iaoeiaeo
i?aoeue, 40 iaoa??aeao ? oacao eiioa?aioe?e, 2 aaoi?nueeeo na?aeioeoaao
N?N?, 6 iaoaioao Oe?a?ie ? o?ueio iaoaioao ?in?enueei? Oaaea?aoe??.

Ianya ? no?oeoo?a aeena?oaoe??.

Aeena?oaoe?eia ?iaioa neeaaea?oueny ?c anooio ? naie ?icae?e?a, nieneo
aeei?enoaieo aeaea?ae oa o?ueio aeiaeaoe?a, caaaeueiee ianya
aeena?oaoe?? 406 noi??iie, c yeeo iniiaiee ci?no aeeeaaeaiee ia 272
noi??ieao ae?oeiaaiiai oaenoo, i?noeoue 58 ?enoie?a, 3 oaaeeoe?. Nienie
aeei?enoaieo aeaea?ae neeaaea?oueny c 277 iaeiaioaaiue. Aeiaeaoee
i?noyoue aeaaaeaiiy i?ii?aeieo ?acoeueoao?a, i?ioieiee aei?iaoaaiue
nenoai ? i?eeaae?a, i?e ?ic?iaoe? yeeo aeei?enoai? iaoeia? ?acoeueoaoe,
io?eiai? a aeena?oaoe?ei?e ?iaio? oa aeoe ai?iaaaeaeaiiy ?acoeueoao?a
?iaioe.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiao?oueny aeooaeuei?noue i?iaeaie aeine?aeaeaiue,
iieacaii ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeaia
oa?aeoa?enoeea iaoeiai? iiaecie oa i?aeoe/iiai cia/aiiy iaea?aeaieo
?acoeueoao?a, a oaeiae ?o ai?iaaaeaeaiiy.

O ia?oiio ?icae?e? i?iaaaeaiee iaeyae iaoiae?a aiae?co iiaaae?iee
iae?i?eieo nenoai ?c ci?iieie ia?aiao?aie. I?iaaaeaiee iaeyae aeicaieea
c?iaeoe aeniiaie, ui i?e oiiaao ci?ie ia?aeiieo ia?aiao??a nenoai c
ieeiii /ano, i?ae ae??th iaeiio?ieueiaaieo ia?aiao?e/ieo cao?aiue, iei?
iaiiaeeeai cae?enieoe ioe?ieo no?eeino? oaeiai eeano nenoai oeyoii
aeei?enoaiiy ooieoe?e Eyioiiaa. E??i oiai, ?nioth/? ?iaanoi? iaoiaee
ioe?iee no?eeino? ?ic?iaeai?, a iniiaiiio, aeey e?i?eieo iaia?a?aieo aai
aeene?aoieo nenoai; eeoa aeaye? c ieo iiaeeeai aeei?enoiaoaaoe aeey
ioe?iee no?eeino? iae?i?eieo aeene?aoieo nenoai.

A?aeii? iaeaoe i?eeeaaeieo i?ia?ai ia aeicaieythoue a i?eeiyoi? /ania?
i?ii?aeee cae?enithaaoe ?ic?aooiee, ye? a iiaee aecia/aoe no?ee?noue
eeano nenoai, ui ?icaeyaeathoueny, aeey an??? iiiaeeie iiaeeeaeo
cia/aiue ia?aeiieo ia?aiao??a nenoai, ye? ci?iththoueny c /anii.

Oaeiae iieacaii, ui i?e iia?euei?e ci?i? ia?aiao??a iae?i?eieo nenoai,
aeey ioe?iee no?eeino? oaeiai eeano nenoai o /anoioi?e iaeano?, iiaeeeai
aeei?enoiaoaaoe Oo?’? — ?ioaa?aeueiee iaoiae ?aeaioeo?eaoe??, yeee aoa
?ic?iaeaiee o 80-o ?ieao i?ioani?ii A.?.Iie?iei.

I?iaaaeaiee iaeyae iaoiae?a aiae?co iiaaae?iee iae?i?eieo nenoai ?c
ci?iieie ia?aiao?aie aeicaieea aecia/eoe iaoo ? caaea/? aeine?aeaeaiiy.

O ae?oaiio ?icae?e? cae?eniaii iiaoaeiao iiaiai i?inoi?o iieno
iiaaae?iee iae?i?eieo ianoaoe?iia?ieo nenoai — i?inoi?o i?e?ino?a
ia?aiao??a. A ?aaeueieo oiiaao aenieoaoaoe?? ??ciiiai?oieo nenoai ?o
ci?ii? noaio caeaaeaoue a?ae /enaeueieo cia/aiue eiao?oe??io?a
i?aeneeaiiy, iino?eieo /ano, eiao?oe??io?a aeaiio??oaaiiy, oe?eie ciie
ia/ooeeaino? ? oiio iiae?aieo ia?aeiieo ia?aiao??a eaiie, ye?
neeaaeathoue no?oeoo?i? noaie nenoai, ui aiae?cothoueny. I?e oeueiio
/enaeuei? cia/aiiy oaeeo ia?aeiieo ia?aiao??a, a, a?aeiia?aeii, ?
ci?iieo noaio, ci?iththoueny c /anii ye a neeo i?e?iaeieo i?e/ei
(iai?eeeaae, noa??iiy ?aae?iaeaiaio?a), oae ? i?ae aieeaii
iaeiio?ieueiaaieo ia?aiao?e/ieo cao?aiue. O oeueiio aeiaaeeo,
?ica’ycoth/e caaea/o no?eeino?, cao?aiiy ?ooo aeieeathoue ca ?aooiie
ci?ie ia?aeiieo ia?aiao??a eaiie no?oeoo?ii? noaie aeeiai?/ii? nenoaie
i?e iaci?iieo ii/aoeiaeo cia/aiiyo ci?iieo noaio.

Iei? caaea/a ioe?iee aneiioioe/ii? no?eeino? aeeiai?/ieo nenoai /ano?oa
anueiai ?ica’yco?oueny a i?inoi?? ci?iieo noaio. sseui ae ia?aeii?
ia?aiao?e iae?i?eieo nenoai ci?iththoueny c /anii, oi aiae?oe/iee
?ica’ycie caaea/ aiae?co iiaaae?iee oaeeo nenoai a?aeiieie iaoiaeaie a
i?inoi?? ci?iieo noaio io?eiaoe i?aeoe/ii iaiiaeeeai, a aeine?aeaeaiiy
i?ioean?a a ieo i?iaiaeeoueny, a iniiaiiio, ca aeiiiiiaith
aaciina?aaeiueiai iiaeaethaaiiy ia AII. I?e oeueiio iiaeaethaaiiy
/ano?oa anueiai i?iaiaeyoue i?e caaeaiiio iaai?? ia?aeiieo ia?aiao??a,
yea iiaoi?th?oueny aeey eiaeiiai iiaiai iaai?o. C?icoi?ei, ui oea
i?ecaiaeeoue aei ca?eueoaiiy /ano ?ica’yceo caaea/ aiae?co iiaaae?iee ?
ia caaaeaee aeicaiey? i?inoaaeeoe aieea ia?aiao??a, ui ci?iththoueny, ia
aeanoea?noue no?eeino? a neeo iaiiaeeeaino? i?iiiaeaethaaoe iiaaae?ieo
nenoai i?e an?o aeaiaioao /eneiaeo iiiaeei, ye? caaeathoue oe?
ia?aiao?e.

Iei? o niaoe?ae?no?a ii oai??? nenoai neeaany iaeiicia/iee iiaeyae i?i
oa, ui e?ioeaaei ?acoeueoaoii canoinoaaiiy aoaeue-yeeo i?ioeaaeo?
?aeaioeo?eaoe?? aeey ?aaeueieo ia’?eo?a oi?aae?iiy, eiio?ieth aai
i?ioeaaeo? io?eiaiiy iaiao?aeii? aei??thaaeueii? ?ioi?iaoe?? i?i
aoaeue-ye? aeanoeaino? aai oa?aeoa?enoeee ia’?eo?a /e i?ioean?a ?
io?eiaiiy eeoa aeayei? ioe?iee ia?aiao??a a?aeiia?aeieo ia’?eo?a /e
i?ioean?a, aea ia ?o ae?eniiai cia/aiiy. Oaeei /eiii, i?e iiaoaeia?
nenoai oi?aae?iiy, eiio?ieth, aai ?ioi?iaoe?eii — aei??thaaeueieo nenoai
(?AN) aeiaiaeeoueny iaoe ni?aao c ?nioaaiiyi aeayei? iaaecia/aiino?, yeo
iaiiaeeeai onoiooe. I?e/iio oaea iaaecia/ai?noue /anoi aeieea? ca
?aooiie ci?ie /enaeueieo cia/aiue ia?aeiieo ia?aiao??a ethaeo nenoai, ui
iaoiiaeaia aieeaii iaeiio?ieueiaaieo ia?aiao?e/ieo cao?aiue.

Aeoiaey/e c aeuaaeeeaaeaiiai, aeieea? iaiao?aei?noue ?ic?iaee iiaiai
i?inoi?o, iien iiaaae?iee iae?i?eieo ianoaoe?iia?ieo nenoai o yeiio
aeicaieea ae ioe?ieoe aieea ci?ie ia?aeiieo ia?aiao??a oe?ieiai eeano
nenoai ia aeanoea?noue ?o no?eeino?.

I?eionoeii, ui ne?i/aiiii??i? aaeoi?e ea?oth/eo (ao?aeieo) aieea?a X(t),
ia?aeiieo ia?aiao??a nenoai, ui aiae?cothoueny, P(t) ? eii?aeeiao ,ui
niinoa??aathoueny, Z(t) i?aaenoaaeythoueny eoneiai — iaia?a?aieie
ooieoe?yie, caaeaieie ia ?ioa?aae? /ano [t0, T], oiaoi

X(t) ( kc ([t0,T];Rn) ,
(1)

P(t) ( kc ([t0,T];Rp) ,
(2)

Z(t) ( kc ([t0,T];Rk) .
(3)

I?e?iaeii aaaaeaoe, ui i?e aeeiiaii? oiia (1) ( (3) ne?i/aiiii??iee
aaeoi? ci?iieo noaio Y(X(t), P(t), t) oaeiae aoaea i?aaenoaaeyoeny
eoneiai — iaia?a?aiith ooieoe??th, yea caaeaia ia ?ioa?aae? /ano [t0,T],
oiaoi

Y(X(t),P(t),t) ( kc ([t0,T];Rm) .
(4)

I?e aeeiiaii? oiia (1) ( (4) ooieoe?y Y(X(t), P(t),t) cae?enith?
a?aeia?aaeaiiy Ok (iia?aoi? Iaieoeueeiai) eoneiai — iaia?a?aieo
ooieoe?e, aecia/aieo ia ?ioa?aae? /ano t ( [t0,T] ianooiiiai aeaeyaeo:

Ok:kc([t0,T];Rn)(kc([t0,T];Rp) ( kc([t0,T];Rm) , oiaoi
(5)

Ok(X((),P(()) ( kc([t0,T];Rm) aeey (X(() ( kc ? (P(() ( kc ,

ui caaea?oueny oioiaei?noth

Ok(X((),P(())(t) ( Y(X(t),P(t),t) .
(6)

Ciaeaeaii iio?aeio a?aeia?aaeaiiy Ok yea aecia/a? iiaee i?ino??, ui
aaiaeeoueny aeey ?ica’ycaiiy caaea/ ioe?iee no?eeino? iae?i?eieo
ianoaoe?iia?ieo nenoai.

a P, oiae? oi?iaeueii iiaeia caienaoe:

, (7)

aea ca?aei?noue (7) i?eeia?oueny ii ii?i? a i?inoi?? Y.

.

iiaea aooe ? ia e?i?eia ii h. sseui ae e?i?ei?noue ia? i?noea, oiaoi
yeui

,
(8)

ia?oo aa??aoe?th ? i?e oeueiio ?nio? e?i?eiee iaia?a?aiee iia?aoi? (
( L(P,Y) oaeee, ui

.
(9)

I?aee?aneeii oaeiae caaaeueiia?aeiiee oaeo, ui aeeoa?aioe?thaaiiy ?
e?i?eiee iia?aoi?. Noeoii?noue L(P, Y) an?o iaia?a?aieo e?i?eieo
iia?aoi??a, ye? aecia/ai? ia anueiio i?inoi?? P ? cae?eniththoue
a?aeia?aaeaiiy P a Y (aea P ? Y — ii?iiaai? i?inoi?e), ooai?youe, ii
a?aeiioaiith aei iia?aoe?e aeiaeaaaiiy oa iiiaeaiiy ia /enei, e?i?eiee
i?ino??. sseui ae, e??i oiai Y — aaiaoiaee i?ino??, oi e L(P, Y) —
aaiaoiaee.

Oaeei /eiii, yeui ne?i/aiiii??iee aaeoi? ci?iieo noaio nenoaie Y(X(t),
P(t), t) cae?enith? aeayea a?aeia?aaeaiiy Ok (aeea. (6)) o aaiaoiaiio
i?inoi??, oi noeoii?noue iia?aoi??a L(P, Y) aoaea oaeiae aaiaoiaei
i?inoi?ii. I?ioa ia aeaeue, i?inoi?e eoneiai — iaia?a?aieo ooieoe?e
(1)-(4) ia ? iiaieie. Oiio, ye i?aaeei, ?icaeyaeathoue ?o aeeaaeaiiy a
aaiaoiaee i?ino?? L( ([t0,T];Rm) — i?ino?? aei??thaaeueieo nooo?ai
iaiaaeaieo aaeoi? — ooieoe?e.

I?ney aeeiiaiiy aeaii? iia?aoe?? aaaaeaii o ?icaeyae iiaee i?ino??, ui
aoaea aaiaoiaei i?inoi?ii a neeo iaaaaeaiiai aeua, a iien iiaaae?iee
nenoai aoaeaii i?iaiaeeoe o aeaeyae?

, (10)

aea P0 — ne?i/aiiii??iee aaeoi? ii/aoeiaeo cia/aiue ia?aeiieo ia?aiao??a
nenoaie aei??i?noth (1(p).

sseui ae aaeoi? ci?iieo noaio nenoaie caaea? iaia?a?aio ooieoe?th
Y(X(t), P(t), t), aecia/aio ia iiiaeei?:

Y : Rn ( Rp ( R ( Rm ,
(11)

oi i?e oeueiio ooieoe?y Y(X(t), P(t), t) cae?enith? a?aeia?aaeaiiy O
iaia?a?aieo ooieoe?e (ui ? iia?aoi?ii Iaieoeueeiai), aecia/aieo ia
?ioa?aae? /ano t ( [t0, T].

O:N([t0,T]; Rn)(N([t0,T];Rp)(N([t0,T];Rm), oiaoi
(12)

O(X((), P(())(C([t0,T];Rm)
(13)

aeey ( X(() ( C ? ( P(() ( C .

Aeaia a?aeia?aaeaiiy caaea?oueny oioiaei?noth

O(X((),P(())(t)(Y(X(t),P(t), t) .
(14)

sseui ae ooieoe?y Y(X(t), P(t), t) iaia?a?aia, a oaeiae iaia?a?ai? ??
/anoeii? iio?aei? Yx(X(t),P(t), t) ? Yp(X(t),P(t), t), oi iia?aoi?
Iaieoeueeiai, caaeaiee ni?aa?aeiioaiiyi (12), iaia?a?aii
aeeoa?aioe?eiaaiee ia iiiaeei? (14) ? ?nio? iio?aeia a?aeia?aaeaiiy O.

I?e aeeiiaii? (11) — (14), (10) iiaeia i?aaenoaaeoe o aeaeyae?:

(15)

A?aecia/eii, ui iien iae?i?eieo ianoaoe?iia?ieo nenoai o aeaeyae? (10) ?
(15) aeicaiey? i?iaiaeeoe aiae?c ?o iiaaae?iee ia o i?inoi?? ci?iieo
noaio nenoai, ye o eeane/iiio aeiaaeeo iieno nenoai, a a ?ioiio
i?inoi??, yeee aoaeaii iaceaaoe i?inoi?ii i?e?ino?a ia?aiao??a. Oaea
iacaa iaoiiaeaia oei oaeoi?ii, ui iiaaae?iea nenoai i?e iien? ?o o
aeaeyae? (10) ? (15) ?icaeyaea?oueny a?aeiinii i?e?ino?a ci?iieo noaio,
ye? iaoiiaeththoueny i?e?inoaie ia?aeiieo ia?aiao??a nenoai.

Ne?ae i?aee?aneeoe, ui iien nenoai o aeaeyae? (10) ? (15) i?iaiaeeoueny
ca aeiiiiiaith aia?aoo oai??? /ooeeaino?. Aeei?enoaiiy oaeiai aia?aoo
aeicaiey? ia?aeoe a?ae iae?i?eieo ianoaoe?iia?ieo aeeoa?aioe?aeueieo
??aiyiue, ui iienothoue iiaaae?ieo nenoai o i?inoi?? ci?iieo noaio, aei
e?i?eieo ianoaoe?iia?ieo aeeoa?aioe?aeueieo ??aiyiue a?aeiinii ci?ie
i?e?ino?a ci?iieo noaio, ye? iaoiiaeai? ci?iith ia?aeiieo ia?aiao??a
nenoaie, ui iieaaoo? iiaeaethaaiiy iiaaae?iee eeano nenoai, ui
?icaeyaeathoueny.

, oi aeey nenoai ae?oaiai ii?yaeeo o aeiaaeeo ?o iieno o aeaeyae? (15)
aiaeiae oaciaeo o?a?eoi??e yaeythoue niaith caeaaeiino?:

(16)

Aiaeiae, ui iaea?aeai?, aeicaieythoue, aeei?enoiaoth/e aeia?a ?ic?iaeai?
iaoiaee aiae?co iae?i?eieo nenoai o i?inoi?? ci?iieo noai?a,
aeine?aeaeoaaoe iniaeea? oi/ee ia ieiuei?, aiaeia?/i?e oacia?e ieiuei?.

I?aee?aneeii, ui yeui Y(t) aecia/aia ia iiiaeei? Rm (aeea. (11)), ?
iaia?a?aiith oa ia? iaia?a?ai? /anoeii? iio?aei? ia?oiai ii?yaeeo, oi
io?eiaiiy iieno nenoai o i?inoi?? i?e?inoo ia?aiao??a (15) cia/ii
ni?iuo?oueny ii??aiyii c ?? iienii o aeaeyae? (10).

Oiio, i?e iien? iiaaae?iee nenoai o i?inoi?? i?e?ino?a ia?aiao??a
aaaeaii ia?aaeaa/eoe aeaye? iia?aoe??, ui aac nooo?aeo ao?ao o oi/iino?
?ica’ycaiiy, aeicaieyee a aeei?enoiaoaaoe iien aeaeo (15), a ia (10).

Io?eiaoe eiino?oeoeai? ?acoeueoaoe i?e iien? iiaaae?iee nenoai o iiaiio
i?inoi?? iiaeeeai oeyoii /enaeueiiai ?ioaa?oaaiiy ??aiyiue /ooeeaino?
aeeiai?/ieo nenoai, ui aiae?cothoueny. O ?icae?e? ?ic?iaeai? aeai?eoie
iiaoaeiae iiaiai i?inoi?o, ye? a?ae??ciythoueny niiniaaie ciaoiaeaeaiiy
a?aeiia?aeieo cia/aiue aeaiaio?a iao?eoeue /ooeeaino?.

O o?aoueiio ?icae?e? ?ic?iaeaia iaoiaeieia?y aiae?co iiaaae?iee
iae?i?eieo ianoaoe?iia?ieo nenoai (IAI IIN) o i?inoi?? i?e?ino?a
ia?aiao??a.

I?iaeaia iiooeo oa aeei?enoaiiy ?aeeieo i?aeoiae?a i?e aiae?c?
iiaaae?iee oaeeo nenoai aeey ??cieo ca nai?th i?e?iaeith oaoi?/ieo oa
oaoiieia?/ieo i?ioean?a noa? iniaeeai aeooaeueiith iei?, a ca’yceo ?c
oaeaeeei ?icaeoeii cania?a ia/enethaaeueii? oaoi?ee ?, ye iane?aeie, —
iaoiae?a iiaeaethaaiiy. Aeia?a a?aeiii, ui ia?oei aoaiii aiae?co
iiaaae?iee aoaeue — yeeo nenoai ? ?ica’ycaiiy caaea/ ioe?iee ?o
no?eeino?. Oaea neooaoe?y ii?iaeaeo? iaiao?aei?noue iiaoaeiae
iaoiaeieia?? iaoaiaoe/iiai iiaeaethaaiiy iae?i?eieo ianoaoe?iia?ieo
nenoai a caaea/ao ioe?iee ?o no?eeino?.

Ne?ae a?aecia/eoe, ui aei iaoiaeieia?? a?aeiinyoueny ia o?eueee a/aiiy
i?i a?aeiia?aeiee iaoiae aea e nai? iaoiaee iaoeiaiai i?ciaiiy ?
i?aeoe/ieo ae?e. Ui noino?oueny nenoai niaoe?aeueieo iaoiae?a eiaeiiai
?c ?icae?e?a i?e?iaeie/eo iaoe oa ?o oai?aoe/iiai iaa?oiooaaiiy o ?aieao
oeeo ?icae?e?a, oi ?o iiaeeeai oa?aeoa?ecoaaoe ye niaoe?aeuei?,
eiie?aoii — iaoeia? aai /anoeia? iaoiaeieia??.

Oaeei /eiii, /anoeiaa iaoiaeieia?y — oea a/aiiy i?i aeayeee iaoiae
iaoeiaiai i?ciaiiy ? eiai i?aeoe/ia aeei?enoaiiy.

sseui a?aooaaoe, ui o ?iaio? cai?iiiiiaaii cae?enithaaoe iien iiaaae?iee
eeano nenoai, ui ?icaeyaea?oueny, o i?eioeeiiai iiaiio i?inoi?? —
i?inoi?? i?e?ino?a ia?aiao??a, ye? aeicaiey? noai?eoe iiaee iaoiae
ioe?iee no?eeino? iae?i?eieo ianoaoe?iia?ieo nenoai, oi ? iiaeeea?noue
?ic?iaeoe IAI IIN.

Aeey oni?oiiai aeei?enoaiiy oaeiai iaoiaeo iaiao?aeii : iiaoaeoaaoe
i?eaeaoio aeey aiae?co cai?iiiiiaaiei iaoiaeii no?oeoo?io noaio nenoaie,
iiaaae?iea yei? aiae?co?oueny; cae?enieoe iaoaiaoe/iee iien ye ie?aieo
aeaiaio?a no?oeoo?ii? noaie, oae ? nenoaie a oe?eiio o aeaeyae?,
i?eaeaoiiio aeey iaoaiaoe/iiai iiaeaethaaiiy; ?aeaioeo?eoaaoe
(aecia/eoe) iii?iaeuei? /enaeuei? cia/aiiy ia?aeiieo ia?aiao??a nenoai;
?aeaioeo?eoaaoe caeiie (iaeano?) ci?ie ia?aeiieo ia?aiao??a nenoai, ui
aiae?cothoueny.

E??i oiai, aeey eiai i?aeoe/iiai canoinoaaiiy, ye oaea a?aecia/aeiny,
iaiao?aeii ia?aaeaa/eoe aeaye? iia?aoe??, ye? a aeicaieyee
aeei?enoiaoaaoe iien nenoai o aeaeyae? (15), a ia (10) a ca’yceo ?c
cia/iei ni?iuaiiyi iaoaiaoe/iiai aia?aoo, yeee aeei?enoiao?oueny, o
oeueiio aeiaaeeo, i?e ?ica’yceo caaea/ no?eeino? eeano nenoai, ui
?icaeyaea?oueny.

Oiio ua iaei??th neeaaeiaith a IAI IIN iiaeii? aoiaeeoe naia oae?
iia?aoe??, ye? aeicaieythoue aeei?enoiaoaaoe ?ic?iaeaiee iaoiae ioe?iee
no?eeino? a ?iaeaia?i?e i?aeoeoe?. I?e/iio oae? iia?aoe?? iaiao?aeii
ia?aaeaa/eoe aeey ??cieo oa?aeoa??a ci?ie ia?aeiieo ia?aiao??a P(t), ye?
aoiaeyoue o (15) oa iaoiiaeai? aieeaii iaeiio?ieueiaaieo ia?aiao?e/ieo
cao?aiue.

Oaea i?ii?aeia iia?aoe?y i?yeei /eiii ia ci?ia? iaaaeueii? iio?aae
iiaoaeiae ye ocaaaeueiaiiai, oae ? a?eueo aeieeaaeiiai aeai?eoio
?ica’yceo caaea/ ioe?iee no?eeino? iae?i?eieo ianoaoe?iia?ieo nenoai
aeey noai?aiiy ?iaeaia?iiai ?ino?oiaioo aeei?enoaiiy oaei? iaoiaeieia??
iaoaiaoe/iiai iiaeaethaaiiy. I?aee?aneeii, ui ia iniia? io?eiaieo
?acoeueoao?a, ye i?aaeei, iiaeiai aooe ?icoe?aiee oacao?on ciaiue i?i
nenoaio oa i?i oaeo ?? aeanoea?noue, ye no?ee?noue.

Oaeei /eiii, IAI IIN, ye aeo?ea? ?c aeuaiaaaaeaiiai, iiaeiia neeaaeaoeny
?c aca?iiiia’ycaiiai eaioethaa i?aei?iaeai, ye? ?icaeyaeathoueny ye
aoaie ?ica’yceo caaea/? ioe?iee no?eeino?. I?e oeueiio ia?aaeaa/a?oueny
cae?eniaiiy ?o a aeaye?e noai??e iine?aeiaiino?, yea aeicaiey? aeinyaoe
iaoe, ui iinoaaeaia, ca aeiiiiiaith a?aeiia?aeiiai aeai?eoio ?ica’yceo.
Oaeee aeai?eoi iiaeiai neeaaeaoeny ?c cacia/aii? iine?aeiaiino? aeayeeo
iia?aoe?e oa ci?noo ae?e, ui ?o ?aae?cothoue.

Aeey oiai, uia iiaeeeai aoei aeei?enoiaoaaoe iien nenoai o aeaeyae?
(15), cae?eniaii ocaaaeueiaiiy iaoiaeo iienoth/eo ooieoe?e. Io?eiai?
ae?ace aeey iienoth/eo ooieoe?e i?e ??cieo oa?aeoa?ao ci?ie ia?aeiieo
ia?aiao??a oeiiaeo iae?i?eieo eaiie, ye? aoiaeyoue o no?oeoo?i? noaie
a?aeiia?aeieo nenoai. Oae? ae?ace io?eiai? i?e e?i?eieo oa?aeoa?ao ci?ie
ia?aeiieo ia?aiao??a oeiiaeo eaiie c iaeiicia/ieie iae?i?eieie
oa?aeoa?enoeeaie, a oaeiae i?e aa?iii?/ieo oa?aeoa?ao ci?ie ia?aeiieo
ia?aiao??a oeiiaeo eaiie c iaeiicia/ieie oa iaiaeiicia/ieie iae?i?eieie
noaoe/ieie oa?aeoa?enoeeaie.

A oaaeeoe? 1 iaaaaeai? ae?ace, ye? aecia/athoue iienoth/? ooieoe?? i?e
aa?iii?/ieo oa?aeoa?ao ci?ie ia?aiao??a noaoe/ieo oa?aeoa?enoee aeayeeo
iaiaeiicia/ieo iae?i?eieo eaiie.

Oaaeeoey 1. Iienoth/? ooieoe?? oeiiaeo iaiaeiicia/ieo iae?i?eieo eaiie
i?e aa?iii?/ieo oa?aeoa?ao ci?ie ?o ia?aiao??a.

I?iaeiaaeaiiy oaae.1.

I?iaeiaaeaiiy oaae.1.

1 2

Io?eiai? ae?ace aeicaieythoue c?iaeoe aeniiaie, ui, ia a?aei?io a?ae
eeane/iiai aeiaaeeo, iienoth/? ooieoe?? caeaaeaoue ia o?eueee a?ae
aiie?ooaee ao?aeiiai neaiaeo A, aea e a?ae ia?aiao??a, ye? aecia/athoue
caeiie ci?ie oa?aeoa?enoee iae?i?eieo eaiie oa /anoioe ao?aeiiai
neaiaeo.

Iiaoaeiaa IAI IIN caaa?oo?oueny ?ic?iaeith aa?enoe/iiai aeai?eoio
?ica’yceo caaea/? aiae?co iiaaae?iee iae?i?eieo ianoaoe?iia?ieo nenoai o
i?inoi?? i?e?ino?a ia?aiao??a, yeee ia a?aei?io a?ae a?aeiieo, aeicaiey?
aecia/aoe iaeano? ?iaanoii? no?eeino? eeano nenoai, ui ?icaeyaea?oueny.

O /aoaa?oiio ?icae?e? c iaoith i?aeoaa?aeaeaiiy iiaeeeaino? aeei?enoaiiy
cai?iiiiiaaii? IAI IIN ?ica’ycaii ?yae caaea/ ioe?iee no?eeino? oa
/ooeeaino? iae?i?eieo ?ioi?iaoe?eii — aei??thaaeueieo nenoai (?AN) ?c
ci?iieie ia?aiao?aie.

Oae, aeey noaaeo/eo aeaeo?ii?eaiae?a ?aeaeii? ae?? ?ica’ycaia caaea/a
aeai?o ia?aiao??a ?aeaeieo aeaiaio?a, ui caaacia/othoue i?i?iaeueio
/ooeea?noue aeo?aeiiai neaiaeo aei ?o ci?i ? aecia/aiiy iaeanoae ci?ie
ia?aiao??a, ye? caaacia/othoue no?ee?noue oaeiai eeano aeaeo?ii?eaiae?a
o aaaaeaiiio i?inoi?? i?e?ino?a ia?aiao??a.

Nei?enoaaoenue iaoiaeii c??aithaath/eo iia?aoi??a, io?eiai?
ianoaoe?iia?i? ??aiyiiy a?aeiinii ooieoe?e /ooeeaino? aeo?aeiiai neaiaeo
aeaeo?ii?eaiaeo aei ci?ie aeo?aeiiai neaiaeo B(t) ?aeaeii? eaiee (Ub(t))
oa aei ci?ie ciie ia/ooeeaino? C(t) ?aeaeii? eaiee (Un(t)) o i?eiouaii?,
ui ci?ie ia?aiao??a B(t) oa C(t) iathoue e?i?eiee oa?aeoa?: B(t)=b0(bt,
C(t)=c0(ct (b((b0, c((c0):

(17)

(18)

aea OAe — iino?eia /ano aeaeo?iaeaeaoia; E — eiao?oe??io ia?aaea/?
aeeiiaa/iai aeaeaoia ? ?aaeoeoi?a; a(A,t,b,c,() — ocaaaeueiaia iienoth/a
ooieoe?y ?aeaeii? eaiee aac a?noa?aceno i?e e?i?eieo oa?aeoa?ao ci?ie ??
ia?aiao??a.

?ica’ycie ??aiyiue (17) oa (18), io?eiaiee ca aeiiiiiaith iaeaoo MathCad
— PLUS 5.0, iaaaaeaii ia ?enoieao 1 oa 2.

Io?eiai? ?acoeueoaoe aeicaieythoue c?iaeoe aeniiaie i?i neaaeee aieea
/anoioe ao?aeiiai neaiaeo ia cia/aiiy a?aeiia?aeieo ooieoe?e /ooeeaino?
Ub(t) oa Un(t).

?en. 1. A?ao?ee ci?ie ooieoe?? /ooeeaino? aeo?aeiiai neaiaeo
aeaeo?ii?eaiaeo aei ci?ie aeo?aeiiai neaiaeo ?aeaeii? eaiee.

?en. 2. A?ao?ee ci?ie ooieoe?? /ooeeaino? aeo?aeiiai neaiaeo
aeaeo?ii?eaiaeo aei ci?ie ciie ia/ooeeaino? ?aeaeii? eaiee.

sse ne?aeo? c ?en.1 oa ?en.2, ?niothoue oae? ia?aiao?e, i?e yeeo Ub=0 oa
Uc=0, oiaoi a oeueiio aeiaaeeo caaacia/o?oueny i?i?iaeueia /ooeea?noue
aeo?aeiiai neaiaeo aeaeo?ii?eaiaeo, ui ?icaeyaea?oueny, aei ?o ci?ie.

Aiae?c ??aiyiue (17) oa (18) aeicaieea io?eiaoe aiae?oe/io caeaaei?noue,
yea caaea? iaiao?aei? oiiae no?eeino? nenoaie oa aecia/eoe iaeano?
no?eeino? o iiaiio i?inoi??, i?aaenoaaeai? ia ?enoieo 3.

?acoeueoaoe, iaaaaeai? ia ?en.3, io?eiai? i?e ne?aeoth/eo iaai?ao
ia?aiao??a: A=5A, (=5n-1, n0=3mA, c=0,05mA, b0=2B.

?en.3. Iaeanoue no?eeino? aeaeo?ii?eaiaea a iaeano? ia?aiao??a ?aeaeiiai
aeaiaioo.

Aeei?enoiaoth/e IAI IIN, aeey ?AN, ye? iiaoaeiaai? ia iniia?
aeaeo?iiaoai?/ieo eiiiainaoe?eieo nenoai, ui i?aoeththoue o ?aaeei?
aaoieieeaaiue, ocaaaeueiaia no?oeoo?ia noaia yeeo iaaaaeaia ia ?enoieo
4, io?eiaii iien iiaaae?iee nenoaie oaeiai oeio o i?inoi?? i?e?ino?a
ia?aiao??a.

?en. 4. Ocaaaeueiaia no?oeoo?ia noaia ?AN, ui aoaeothoueny ia iniia?
aeaeo?iiaoai?/ieo eiiiainaoe?eieo nenoai, ye? i?aoeththoue o ?aaeei?
aaoieieeaaiue.

Ia ?enoieo 4. *A — /ooeeaee aeaiaio, ?N — ?ooiia nenoaia, AeI — aeao/ee
iieiaeaiiy, III? — i?aeneethaaeueii -ia?aoai?thaaeueiee i?eno??e; AE —
aeaeo?iiiee eeth/iaee i?eno??e; NAeAO(I) — noaa?e?ciaaia aeaea?aei
aeaeo?e/iiai no?oio (iai?oae); EI — eiiiainoth/ee ia?aoai?thaa/; ?A —
?ooiiee aocie; IE — iae?i?eia eaiea; Fao, Fei ao?aeiee oa eiiiainoth/ee
aieeae, a?aeiia?aeii; x — e?i?eia aai eooiaa ia?ai?uaiiy; u — aeo?aeiee
neaiae IE.

Iiaaae?iea nenoaie o iiaiio i?inoi?? iieno?oueny ??aiyiiyie:

(19)

(20)

— ooieoe?? /ooeeaino? aeo?aeiiai neaiaeo aei ci?ie ia?aiao??a ?aeaeii?
eaiee c a?noa?acenii b ? n, a?aeiia?aeii;

x — aeo?aeiee neaiae; A1 — iiiaio ?ia?oe?? ?ooiii? nenoaie; A —
eiao?oe??io aeaiio??oaaiiy; Ae — aei?noe?noue i?aea?no ?ooiiiai aocea;
O2 — iino?eia /ano eiiiainoth/iai ia?aoai?thaa/a; k — aeiaooie
eiao?oe??io?a ia?aoai?aiiy aeao/eea iieiaeaiiy, i?aeneethaaeueii —
ia?aoai?thaaeueiiai i?eno?ith, eiiiainoth/iai ia?aoai?thaa/a;
a(A,t,b,c,(,() oa q(A,t,b,c,(,() — neeaaeia? ocaaaeueiaii? iienoth/i?
ooieoe?? ?aeaeiiai aeaiaioo c a?noa?acenii i?e aa?iii?/ieo oa?aeoa?ao
ci?ie eiai ia?aiao??a, ae?ace aeey yeeo iaaaaeai? o oaaeeoe? 1.

Aeey nenoaie, iiaaae?iea yei? iieno?oueny ??aiyiiyie (19) oa (20)
aecia/ai? aeinoaoi? oiiae aaniethoii? no?eeino? oeyoii aea/aiiy
aneiioioe/ii? iiaaae?iee ??oaiue nenoaie ??aiyiue a?aeiinii eaiii?/ieo
neeaaeiaeo ?ica’yceo nenoaie ??aiyiue a?eueieo eieeaaiue. Ciaoiaeaeaiiy
oaeeo oiia aeicaieeei io?eiaoe iaeano? no?eeino? nenoaie, ui
?icaeyaea?oueny. ?acoeueoaoe, ui io?eiai?, aeaee iiaeeea?noue
iiaoaeoaaoe iaeano? ci?ie ia?aeiieo ia?aiao??a, o yeeo caa??aa?oueny
aeanoea?noue no?eeino?, ye? cia?aaeai? ia ?enoieao 5 oa 6.

?en.6. Iaeanoue no?eeino? ?AN, yea ?icaeyaea?oueny, ca oiiae, ui n<0. Oeyoii iaoaiaoe/iiai iiaeaethaaiiy ca aeiiiiiaith iaeaoo i?eeeaaeieo i?ia?ai IIAeI-N, ?ic?iaeaiiio o Iineianueeiio aia?aaoe/iiio ?inoeooo?, i?aeoaa?aeaeaia aaeaeaaoi?noue io?eiaieo ?acoeueoao?a. Aeey io?eiaiiy aei??thaaeueii? ?ioi?iaoe?? a ia?iaeyth/eo oeaio?ao aio/eeo aaoiiaoeciaaieo ae?iaieoeoa iaea?eueo /anoi aoiaeyoue ?AN, ye? yaeythoue niaith aieiaeo aeioeeo oeio ”?iaeeeaoi? eiioaeoo”, no?oeoo?ia noaia yeeo iaaaaeaia ia ?enoieo 7. ?en. 7. No?oeoo?ia noaia ?AN ia?iaeyth/eo oeaio??a oeio ”?iaeeeaoi? eiioaeoo”. Iaea?eueo /ooeeaei aeaiaioii oaeeo ?AN, yeee aaciina?aaeiuei ca’ycaiee c aeaoaeeth, ui ia?iaey?oueny, ? ?aeaeiee aeaiaio. Ci?ia eiai ia?aeiieo ia?aiao??a, i?ae ae??th iaeiio?ieueiaaieo cao?aiue, i?ecaiaeeoue aei cieaeaiiy oi/iino? ia?iaee aeaoaeae ia ia?iaeyth/eo oeaio?ao. Oiio ?ica’ycaia caaea/a ioe?iee aieeao ci?ie ia?aiao??a ?aeaeiiai aeaiaioo ia aeo?aeiee neaiae ?AN, ui ?icaeyaea?oueny, i?e oiia?, ui oa?aeoa? ci?i iieno?oueny e?i?eieie ni?aa?aeiioaiiyie. Aeei?enoiaoth/e IAI IIN, io?eiai? ??aiyiiy aeeiai?ee ?AN o i?inoi?? i?e?ino?a ia?aiao??a, ye? iathoue aeaeyae: - a?aeiia?aei? ooieoe?? /ooeeaino?. Aeey /enaeueieo aeaieo, ye? oa?aeoa?ecothoue ia?iaeyth/ee oeaio? OI27N, io?eiaiee ?ica’ycie ??aiyiue (21), (22) ca aeiiiiiaith iaeaoo MathCad PLUS 5.0, iaaaaeaiee ia ?enoieao 8 oa 9. sse ne?aeo? c ?en. 8, 9 aeo?aeiee neaiae ?AN ia?iaeyth/eo oeaio??a oeio ”?iaeeeaoi? eiioaeoo” a?eueo /ooeeaee aei ci?ie ia?aiao?o n, ui oa?aeoa?eco? ci?io ciie ia/ooeeaino? ?aeaeiiai aeaiaioo, i?ae aei ci?ie ia?aiao?o b. Oiio aeaiaioe, ui caaacia/othoue caaeaio ciio ia/ooeeaino?, iiaeii? aooe aenieii?aoe?c?eieie. E??i oiai, ?niothoue oae? ia?aiao?e ?aeaeieo aeaiaio?a, i?e yeeo Ub=0 oa Uc=0, oiaoi i?e?inoe a?aeiia?aeieo ia?aiao??a o aeayeeo iaeanoyo ia aieeaathoue ( aai iaei aieeaathoue ) ia aeo?aeiee neaiae nenoaie, ui ?icaeyaea?oueny. Oae? iniaeeaino? iiaaae?iee ooieoe?e /ooeeaino? aeaaeooue iiaeeea?noue i?iaeooaaoe ?AN, ?iaa??aioi? aei ci?ie ia?aiao??a ?aeaeieo eaiie, ui aoiaeyoue a ?o no?oeoo?i? noaie. A inoaiiueiio i?ae?icae?e? oeueiai ?icae?eo ?ic?iaeaii ocaaaeueiaiee aeai?eoi iiaeaethaaiiy iiaaae?iee iae?i?eieo ianoaoe?iia?ieo nenoai o i?inoi?? i?e?inoo ia?aiao??a, ui aaco?oueny ia aeei?enoaii? aaeoi?ieo ?oa?aoe?e iaeaoo MathCad, yeee aeicaiey? aoaeoaaoe aeinoaoiuei i?ino? oa i?ici?? eiii’thoa?i? noaie ?ica’yceo aeeoa?aioe?aeueieo ??aiyiue o /anoeiieo iio?aeieo, aei yeeo caiaeeoueny iien aeeiai?ee oaeeo nenoai o i?inoi?? i?e?ino?a ia?aiao??a. O i’yoiio ?icae?e?, canoiniaoth/e IAI IIN, ?ica’ycaia caaea/a ?iaanoii? no?eeino? oa iioei?caoe?? ia?aiao??a NA? neeiaeo o?ainoi?iaoi??a c i?eno?iyie ?aaoethaaiiy i?ae iaaaioaaeaiiyi (?II), ye? ? aieiaiei ? iaea?eueo aoaeoeaiei caniaii caaacia/aiiy yeino? iai?oae a aeaeo?e/i?e ia?aae?. Iiaoaeiaaia no?oeoo?ia noaia NA? neeiaeo o?ainoi?iaoi??a c ?II, eaieaie yei? ? nooo?ai iae?i?ei?, eia?/i? aeaiaioe oa aeaiaioe oeeo?iai? oaoi?ee. Io?eiaia no?oeoo?ia noaia aeicaiey? cae?enieoe eiii’thoa?iee aiae?c ?iaanoii? no?eeino? oaeeo NA? ca aeiiiiiaith iaeaoo i?ia?ai IIAeI-N. Iiaeaethaaiiy NA?, ui ?icaeyaea?oueny, aeicaieeei io?eiaoe ia?ao?aei? ooieoe?? aeey ?iai/iai ae?aiaciio /ano cao?eiie (c=(5(60) n. Oae? ooieoe?? iathoue aia??iaee/iee oa?aeoa? oa aeicaieythoue c?iaeoe aeniiaie ii ?iaanoio no?ee?noue oaeeo NA? i?e ci?i? ?? a?aeiia?aeiiai ia?aiao?o a onueiio ?iai/iio ae?aiacii?. Aia??iaee/iee oa?aeoa? ia?ao?aeieo i?ioean?a iaoiiaeth?oueny o?eueo?oth/eie aeanoeainoyie aeaeo?ii?eaiaeo i?eno?ith ?II, ca /an ia?aeeth/aiiy yeiai anoeaathoue caaniooe an? i?ioeane a ?ioeo aeaiaioao noaie. Aieiaieie ia?aiao?aie ?aaoeyoi??a ??aiy iai?oae, ye? iiaeeeai iano?ithaaoe, ? ciia ia/ooeeaino? ( oa /an cao?eiee (c . sseui aeei?enoaoe iiaeeeaino? III IIAeI-N, oi e??i caaea/? ioe?iee ?iaanoii? no?eeino? NA?, iiaeeeai ?ica’ycaoe ? a?eueo neeaaeio caaea/o - caaea/o iioei?caoe?? oaeeo ?? ia?aiao??a. A yeino? e?eoa??th iioei?caoe?? aeei?enoiao?oueny ne?aeoth/ee ae?ac: J = C1 J1 + C2 J2 (min . (23) A (23) N1 - aa?o?noue caeoe?a i?aei?e?inoa aeaeo?e/ieo ia?aae, ye? iaoiiaeai? a?aeiiaith o?ainoi?iaoi??a; N2 - aa?o?noue caeoe?a niiaeeaa/a, ye? iaoiiaeai? iiaaiith ye?noth aeaeo?e/ii? aia?a?? (ii iai?oc?) ia eiai oeiao; J1 - ooieoe?iiae, yeee aecia/a? eiia??i?noue a?aeiiae o?ainoi?iaoi?o c ?II i?e o?eniaai?e cii? ia/ooeeaino?; J2 - ooieoe?iiae, yeee aecia/a? cieaeaiiy yeino? aeaeo?e/ii? aia?a?? (ii iai?oc?) i?e oae?e nai?e cii? ia/ooeeaino?. Ooieoe?iiae J1 oa ooieoe?iiae J2 cai?iiiiiaaii i?ae?aooaaoe ca aeiiiiiaith ne?aeoth/eo ae?ac?a: , (24) (25) O ae?acao (24) oa (25): (n, (e - a?aeiia?aeii, ii/aoeiaa oa e?ioeaaa cia/aiiy /aniai? cao?eiee ?aaoeyoi?a; f((c(() - oiiaia aonoeia eiia??iino? a?aeiiae o?ainoi?iaoi?a, yea ? ooieoe??th /aniai? cao?eiee (c i?e o?eniaaiiio cia/aii? ciie ia/ooeeaino? ?aaoeyoi?a (; t1-t0 - ?ioa?aae niinoa?aaeaiiy; Kj - ”aaaa” niiaeeaa/a aeaeo?e/ii? aia?a??; Ujp(t) - a?aeo/a cia/aiiy iai?oae ia oeiao j-oiai niiaeeaa/a, yea caeaaeeoue a?ae ia?aiao??a, ye? iano?iththoueny o ?aaoeyoi??a neeiaeo o?ainoi?iaoi??a c i?eno?iyie ?II; Ujiii - iii?iaeueia cia/aiiy iai?oae ia oeiao o j-ai niiaeeaa/a; n - e?euee?noue niiaeeaa/?a aeaeo?iaia?a??, ye? i?aeeeth/ai? aei aocea ia?aae?, ui ?icaeyaea?oueny. ?ai?oa aoei aecia/aii, ui ?aaoeyoi?e, ye? ?icaeyaeathoueny, no?ee? a ae?aiacii? ci?ie (c=(5(60)n. C?icoi?ei, ui iiooe iioeiaeueieo ca e?eoa???i (23) cia/aiue /aniai? cao?eiee ?aaoeyoi?a aoaeaii i?iaiaeeoe naia a oeueiio ae?aiacii?. C aeina?aeo noaoenoe/ii? ioe?iee oiiaii? aonoeie eiia??iinoae f((c(() a?aeiiae o?ainoi?iaoi??a c ?II, yea aoiaeeoue o neeaaeiao J1 (24) e?eoa??th (23) anoaiiaeaii, ui ?? iiaeeeai ai?ieneioaaoe aaiia - ?iciiae?eii: (26) aea A(() - aaiia- ooieoe?y; ( = 0,25 aeey i?eno?i?a c ?acenoeaiith noaiith eiiooaoe?? oa ( = 0,5 aeey ?iaeoeoeaii? noaie eiiooaoe??. Aeey io?eiaiiy /enaeueieo cia/aiue ooieoe?iiaeo (25), ca aeiiiiiaith iaeaoo IIAeI-N, noi?iiaaia caeaaei?noue iai?oae ia eiai oeiao U(t), yea oa?aeoa?ia aeey iaei??? ?c eiie?aoieo i?aenoaioe?e c a?aooaaiiyi aeoiaeo ?? ca aa?oith iaaeo ciie ia/ooeeaino? oa iiaeeea?noue ia?aeeth/aiiy NA? i?e aaeeeeo cia/aiiyo (c. Nei?enoaaoenue /enaeueieie ?acoeueoaoaie i?ae?aooieo ooieoe?iiae?a (24) oa (25), iiaeeeai io?eiaoe /enaeuei? cia/aiiy ooieoe?iiaeo (23), ye? iaaaaeai? ia ?enoieo 10. A?ao?ee, iaaaaeai? ia ?enoieo 10, iieacothoue ui ?nio? yaiee i?i?ioi e?eoa??th J aeey ??cieo cia/aiue ciie ia/ooeeaino? ?aaoeyoi??a c ?II, ui aeicaiey? aecia/eoe iioeiaeuei? ca e?eoa???i (23) cao?eiee /ano (c neeiaeo o?ainoi?iaoi??a c i?eno?iyie ?II. sseui ae aoaea a?aeaoaaoeny ci?ia C1 a noi?iio a?aeiiniiai ca?eueoaiiy a?ae C2, oi i?i?ioi e?eoa??th (23) aoaea cnoaaoeny a iaeanoue a?eueoeo cia/aiue /ano cao?eiee ?aaoeyoi??a (c. C?icoi?ei, yeui oi?ia iai?oae, ui ?aaoeth?oueny U(t), aoaea ?ioith, oi iioeiaeuei? cia/aiiy (c (i?e o?eniaaieo (), aoaeooue a?ae??ciyoeny a?ae oeo, ye? iaaaaeai? ia ?en.10. Aea ?o i?ae?aooiie iiaeeeai cae?enieoe ca aeiiiiiaith cai?iiiiiaaii? iaoiaeeee. O oinoiio ?icae?e? aeena?oaoe?eii? ?iaioe ?ic?iaeai? aeai?eoie oa i?eno?i? ioe?iee no?eeino?, ae?aaiinoeee oa a?aeiiaeaiiy neaiae?a o /anoioi?e iaeano? ia iniia? iiaeeo?eiaaieo iaoaiaoe/ieo iiaeaeae Oo?’? - ?ioaa?aeueiiai iaoiaeo ?aeaioeo?eaoe?? (O?I?). O oiae? ii?iaeueii? aenieoaoaoe?? nenoai, ye? iiaeeeai e?iaa?ecoaaoe, ca aeiiiiiaith O?I? aoei io?eiaii, ui (27) aea P(l(1) oa Q(l(1) —a?aeiia?aeii, cia/aiiy ae?enii? oa oyaii? /anoioieo oa?aeoa?enoee nenoai, ui aeine?aeaeothoueny, ia /anoioao (=l(1 (l=1, 2, 3...n) , a P(0) — cia/aiiy ae?enii? /anoioii? oa?aeoa?enoeee nenoai ia /anoio? (=0 (a?aei?oeii, ui Q(0)=0 ); al - eiao?oe??ioe ?iceeaaeo o ?yae Oo?’? ei??aeyoe?eii? ooieoe?? ao?aeiiai neaiaeo x(t); bl , cl - eiao?oe??ioe ?iceeaaeo o ?yae Oo?’? aca?iii ei??aeyoe?eii? ooieoe?? aeo?aeiiai y(t) oa ao?aeiiai x(t) neaiae?a nenoai, ui aeine?aeaeothoueny. sseui aeei?enoaoe oi?ioethaaiiy /anoioiiai e?eoa??th Iaeea?noa aeey no?eei? ?ic?ieiaii? nenoaie, oi caieiaia nenoaia aoaea no?eeith, yeui aeeiio?oueny ianooiia oiiaa: P(l(1)> -1 i?e ethaiio Q(l(1).
(28)

Oaeei /eiii, yeui aeei?enoaoe oiiao (28), a a?aeiia?aei? cia/aiiy
/anoioieo oa?aeoa?enoee ciaeoe ca aeiiiiiaith O?I?, oi iiaeia
iiaoaeoaaoe i?eno??e aeey aaoiiaoe/iiai aecia/aiiy no?eeino? caieiaieo
iae?i?eieo nenoai, ye? iiaeeeai e?iaa?ecoaaoe, ii /anoioieo
oa?aeoa?enoeeao ?ic?ieiaieo nenoai. I?e oeueiio i?aee?aneeii, ui yeui
i?aai?coaaoe iioaeoio ?iaioo i?eno?ith, ui i?iiiio?oueny, oaeei /eiii,
uia ca oaeo eiai ?iaioe ia?aiao?e i?aeoe/ii ia ci?ithaaeenue, oi
oaeee i?eno??e

?en.10. A?ao?ee caeaaeiino? ooieoe?iiaeo caeoeo, yeee a?aoiao?
eiia??i?noue a?aeiiae i?eno?ith ?II oa cieaeaiiy yeino? aeaeo?e/ii?
aia?a??

iiaeeeai aeei?enoaoe aeey ioe?iee no?eeino? ianoaoe?iia?ieo
e?iaa?eciaaieo nenoai. C aeeeaaeaiiai c?icoi?ei, ui oaeeo oiia iiaeeeai
aeinyaoe, eiee ia?aiao?e ia ci?iththoueny (aai ci?ie iacia/i?) ca /an
t0. Oiaoi, i?e aeeiiaii? aeuacaaaeaieo oiia iiaeeeai ?ica’ycaoe caaea/o
?iaanoii? no?eeino? iae?i?eieo ianoaoe?iia?ieo nenoai, aeeiai?/i?
i?ioeane a yeeo iiaeeeai iienaoe e?i?eieie ni?aa?aeiioaiiyie ca ?aooiie
e?iaa?ecaoe??. Ia ooieoe?iiaeueio noaio i?eno?ith, yeee ?aae?co?
ia?aa??eo oiia (28), aeei?enoiaoth/e (27), io?eiaii ??oaiiy ia aeaea/o
iaoaioo Oe?a?ie. O ?icae?e? iaaiaeeoueny iien ?iaioe i?eno?ith.

Cia/aiiy ae?enii? P(l(1) oa oyaii? Q(l(1) /anoioii? oa?aeoa?enoee
nenoai, ui aeine?aeaeothoueny, aeey ?yaeo i?iieneiaeo nenoai
ii?iae?cothoueny, caaeathoueny ?o i?i?iaeueii aeiionoei? Pmin(l(1) oa
Qmin(l(1) ? iaeneiaeueii aeiionoei? cia/aiiy Pmax(l(1) oa Qmax(l(1)
(aeey l=0, 1, 2,…n). Aeo?ae ciaeaeaieo a i?ioean? ii?iaeueii?
aenieoaoaoe?? cia/aiue P(l(1) oa Q(l(1) ca iaae? aiai?eoue i?i oa, ui
aiane?aeie aeoiaeo iaeiiai aai e?eueeio ia?aiao??a, ye? oa?aeoa?ecothoue
aeeiai?eo nenoai, ui ?icaeyaeathoueny, ca iaae? aeiione?a, oe? nenoaie
noathoue iai?aoeacaeaoieie /a?ac iia??oaiiy ?o iao?ieia?/ieo
oa?aeoa?enoee. O oeueiio aeiaaeeo iae/ano?oa iaiao?aeii nenoaio oa
oaoiieia?/iee i?ioean coieiyoe ? i?iaiaeeoe a?aeiia?aeia
iaeaaiaeaeoaaiiy.

Oiaoi, aeey i?aoeacaeaoiino? i?iieneiaeo nenoai oaoiieia?/iiai eiio?ieth
? oi?aae?iiy iaiao?aeii, uia aeeiioaaeenue oiiae:

Pmin(l(1)(P(l(1)( Pmax(l(1),
(29)

. (30)

Oaeei /eiii, nooi?noue cai?iiiiiaaiiai aeai?eoio ae?aaiinoeee eeano
nenoai, ui ?icaeyaea?oueny, iieyaa? a io?eiaii? cia/aiue /anoioieo
oa?aeoa?enoee P(l(1), Q(l(1) ca aeiiiiiaith (27) oa ia?aa??oe? oiia
(29), (30).

Ooieoe?iiaeueia noaia i?eno?ith, ui ?aae?co? cai?iiiiiaaiee aeai?eoi,
caoeuaia aaoi?nueeei na?aeioeoaii N?N? oa iaoaioii ?in?enueei?
Oaaea?aoe??. I?eno??e ? oi?aa?naeueiei ca ?aooiie caeeaaeaii?
iiaeeeaino? ci?ie i?i?iaeueii oa iaeneiaeueii aeiionoeieo cia/aiue
/anoioieo oa?aeoa?enoee nenoai.

Aeaea?aeaie ?ioi?iaoe?? i?i cia/aiiy neaiae?a x(t) oa y(x) iae/ano?oa ?
ia?aeii? aei??thaaeuei? ia?aoai?thaa/?, yeei aeanoeaa ?ia?oe?ei?noue.
Iai?aaeeueia aenieoaoaoe?y oaeeo ia?aoai?thaa/?a i?eaiaeeoue aei cia/ieo
aeeiai?/ieo iioeaie aei??thaaiue. I?e oeueiio cia/aiiy iioeaie iiaeooue
noaoe a?eueoeie, i?ae aaee/eie, ui aei??ththoueny. Oaea neooaoe?y iiaea
i?eaanoe aei iaiiaeeeaino? ei?aeoiiai ?ica’yceo caaea/, ye? iinoaaeai? o
iiia?aaei?o i?ae?icae?eao aeaiiai ?icae?eo aeena?oaoe?eii? ?iaioe.
I?aee?aneeii, ui oae? ia?aoai?thaa/? iathoue, ye i?aaeei, e?i?eio
oa?aeoa?enoeeo ia?aoai?aiiy.

O ca’yceo c oeei aeieea? caaea/a a?aeiiaeaiiy neaiae?a ia aoiae?
ia?aeiieo aei??thaaeueieo i?eno?i?a, ui aeicaieeoue i?aeaeueoe oi/i?noue
?ica’ycaiiy caaea/ ioe?iee no?eeino? oa ae?aaiinoeee nenoai, ui
aeine?aeaeothoueny.

A?aeiii, ui ca’ycie i?ae ao?aeiei neaiaeii e?i?eiiai aei??thaaeueiiai
ia?aoai?thaa/a Z(t), eiai aeo?aeiei neaiaeii S(t) oa aaaiaith
oa?aeoa?enoeeith g(t) caaea?oueny ??aiyiiyi oeio cai?oee. Aeey ae??oaiiy
caaea/? aaoiiaoecaoe?? a?aeiiaeaiiy neaiae?a Z(t) aeei?enoai? ne?aeoth/e
ni?aa?aeiioaiiy ?ica’yceo ??aiyiiy oeio cai?oee, io?eiai? ca aeiiiiiaith
O?I?:

(31)

(32)

aea ml,nl — eiao?oe??ioe ?iceeaaeo neaiaeo S(t) o ?yae Oo?’?; al, bl —
iaa?aeii? eiao?oe??ioe ?iceeaaeo neaiaeo Z(t) o ?yae Oo?’?; P(l(1) oa
Q(l(1) — a?aeiia?aeii, cia/aiiy ae?enii? oa oyaii? /anoioieo
oa?aeoa?enoee aei??thaaeueiiai ia?aoai?thaa/a ia /anoioao (=l(1 (l=0, 1,
2,…n).

Ciaiiy cia/aiue al oa bl aeicaiey? cae?enieoe a?aeiiaeaiiy ?noeiieo
cia/aiue neaiaeo, ui aei??th?oueny, ii ?acoeueoaoao ?a?no?aoe??
aeo?aeiiai neaiaeo ia?aeiieo aei??thaaeueieo ia?aoai?thaa/?a oa a?aeiiei
?o aeeiai?/iei oa?aeoa?enoeeai.

Ooieoe?iiaeueia noaia i?eno?ith, yeee ?ica’yco? caaea/o a?aeiiaeaiiy
ao?aeiiai neaiaeo ia?aeiieo aei??thaaeueieo ia?aoai?thaa/?a ca?aeii c
cai?iiiiiaaiei aeai?eoiii, caoeuaia aaoi?nueeei na?aeioeoaii N?N?.
I?eno??e eaaei iaeaaiaeaeo?oueny aeey ??cieo oei?a a?aeiia?aeieo
ia?aoai?thaa/?a. A ?icae?e? iaaiaeeoueny iien ?iaioe aeaiiai i?eno?ith.

A aeaiiio ?icae?e? oaeiae cai?iiiiiaaii i?aeo?ae aei aecia/aiiy /ano
eiio?ieth ? oi?aae?iiy neeaaeieo nenoai, yeee aaco?oueny ia aaaaeaiiio
eiao?oe??io? no?oeoo?ii? neeaaeiino?, aeicaiey? a?aooaaoe ia o?eueee
aioo??oith no?oeoo?o, aea e oa?aeoa?enoeee i?aoeacaeaoiino? aeaiaio?a
a?aeiia?aeieo nenoai.

Nueiiee ?icae?e i?enay/aiee iieno i?aeoe/iiai aeei?enoaiiy io?eiaieo
iaoeiaeo ?acoeueoao?a. Iieacaia canoinoaaiiy ocaaaeueiaiiy iaoiaeo
iienoth/eo ooieoe?e i?e ei?aeooaaii? oa?aeoa?enoee ia?aeiieo
aei??thaaeueieo ia?aoai?thaa/?a i?e ?ic?iaoe? i?e?ii?ioeani?ieo nenoai
eiio?ieth aeo?aoaie an?o aeae?a aia?aiiin??a ia i?iieneiaeo
i?aei?e?inoaao oa i?e?ii?ioeani?iiai e?/eeueieea i?iieneiaeo aeo?ao aaco
”Oi?aa?nae”.

Iaaiaeyoueny no?oeoo?i? noaie oa iien aeuacacia/aieo nenoai eiio?ieth oa
e?/eeueieea, ye? caoeuai? iaoaioaie Oe?a?ie oa ?in?enueei? Oaaea?aoe??.

Oaeiae iaaiaeeoueny iien no?oeoo?ii? noaie i?e?ii?ioeani?ii? nenoaie
eiio?ieth noaa?eueiino? aeeiai?/ieo oa?aeoa?enoee ia?iaeyth/eo oeaio??a,
yea ?aae?co? ?ic?iaeaiee iaoiae ioe?iee /ooeeaino? aeo?aeiiai neaiaeo
?AN ia?iaeyth/eo oeaio??a aei ci?ie aeayeeo ia?aeiieo ia?aiao??a.

I?eaiaeeoueny iien eiii’thoa?ii? oaoiieia?? i?aeaioiaee iia?aoi??a
oaieiaeo aeaeo?inoaioe?e (OAN), o yeeo aeei?enoai? ?ic?iaeai? aeai?eoie
ioe?iee noaio, ae?aaiinoeee nenoai oi?aae?iiy oaoiieia?/ieie i?ioeanaie
ia OAN oa a?aeiiaeaiiy neaiae?a aei??thaaeueieo ia?aoai?thaa/?a.

Aeniiaee

Noeoii?noue iaaaaeaieo o ?iaio? ?acoeueoao?a aeicaiey? noai?eoe iiao
iaoiaeieia?th iaoaiaoe/iiai iiaeaethaaiiy iiaaae?iee iae?i?eieo
ianoaoe?iia?ieo nenoai. Cai?iiiiiaai? aaoi?ii iaoiaee iaoaiaoe/iiai
iiaeaethaaiiy aeicaieythoue ?ica’ycoaaoe ia o?eueee i?yio, a e cai?ioith
caaea/? ?iaanoii? no?eeino? oaeiai eeano nenoai, oiaoi aeathoue
iiaeeea?noue aecia/eoe iaeano? ci?ie ia?aeiieo ia?aiao??a, a yeeo
caa??aa?oueny aeanoea?noue no?eeino?. Cai?iiiiiaai? aeai?eoie, ui
?aae?cothoue iia? iaoiaee iaoaiaoe/iiai iiaeaethaaiiy, aeicaieeee
noai?eoe ?ino?oiaio, yeee iiaeeeai oe?iei aeei?enoiaoaaoe i?e iaoeiaeo
aeine?aeaeaiiyo oa a ?iaeaia?i?e i?aeoeoe? i?iaeooaaiiy ??ciiiai?oieo
nenoai, ia?aiao?e yeeo a neeo ??cieo i?e/ei a?aeoeeythoueny a?ae nai?o
iii?iaeueieo cia/aiue.

A aeena?oaoe?ei?e ?iaio? iaea?aeai? oae? iniiai? iaoeia? oa i?aeoe/i?
?acoeueoaoe:

Cai?iiiiiaaii i?eioeeiiai iiaee i?ino??, — i?ino?? i?e?ino?a ia?aiao??a,
a yeiio cae?enith?oueny aiae?c iiaaae?iee iae?i?eieo ianoaoe?iia?ieo
nenoai, ui aeaei ciiao ?ic?iaeoe iia? aeai?eoie ioe?iee no?eeino?
aeaiiai eeano nenoai.

Cae?eniaii ocaaaeueiaiiy eeane/iiai iaoiaeo iienoth/eo ooieoe?e ia
aeiaaeie, eiee ia?aiao?e noaoe/ieo oa?aeoa?enoee iae?i?eieo eaiie
ci?iththoueny i?ae ae??th iaeiio?ieueiaaieo ia?aiao?e/ieo cao?aiue.
Aeaaaeai? aiae?oe/i? ni?aa?aeiioaiiy, ye? aecia/athoue iienoth/?
ooieoe?? aeey eaiie c oeiiaeie noaoe/ieie oa?aeoa?enoeeaie i?e ??cieo
oa?aeoa?ao ci?ie ?o ia?aiao??a.

Ia iniia? io?eiaieo ?acoeueoao?a iiaoaeiaaia iaoiaeieia?y aiae?co
iiaaae?iee iae?i?eieo ianoaoe?iia?ieo nenoai (IAI IIN), i?eaeaoia aeey
?ica’ycaiiy oe?ieiai eeano iaoeiaeo oa ?iaeaia?ieo caaea/.

Ia iniia? aiae?co iiaaae?iee aeayeeo eean?a ?ioi?iaoe?eii —
aei??thaaeueieo nenoai o i?inoi?? i?e?ino?a ia?aiao??a, ia iniia? IAI
IIN aia?oa io?eiai? iaeano? ia?aeiieo ia?aiao??a, o yeeo caa??aa?oueny
aeanoea?noue no?eeino? oaeiai eeano nenoai oa cae?eniaia ioe?iea
/ooeeaino? aeo?aeiiai neaiaeo aei cao?aiue ia?aeiieo ia?aiao??a, ui aea?
iiaeeea?noue aoaeoaaoe nenoaie, ?iaa??aioi? aei oaeeo cao?aiue.

Oeyoii iaoaiaoe/iiai iiaeaethaaiiy, ia iniia? IAI IIN, ?ica’ycaia
caaea/a ?iaanoii? no?eeino? oa cai?iiiiiaaia iiaa iaoiaeeea
ia?aiao?e/ii? iioei?caoe?? iaeiiai eeano aeene?aoieo iae?i?eieo
ianoaoe?iia?ieo nenoai aaoiiaoe/iiai ?aaoethaaiiy a aeaeo?iaia?aaoeoe? —
NA? neeiaeo o?ainoi?iaoi??a c i?eno?iyie ?aaoethaaiiy i?ae iai?oaith,
ye? ? aieiaiei ? iaea?eueo aoaeoeaiei caniaii caaacia/aiiy yeino?
iai?oae a aeaeo?e/i?e ia?aae?.

Ia iniia? Oo?’? — ?ioaa?aeueiiai iaoiaeo ?aeaioeo?eaoe?? (O?I?),
?ic?iaeaiiai i?ioani?ii A.?.Iie?iei, cai?iiiiiaai? aeai?eoie ioe?iee
no?eeino?, ae?aaiinoeee noaio iae?i?eieo ianoaoe?iia?ieo nenoai, iien
yeeo iiaeeeai e?iaa??coaaoe. Aeai? aeai?eoie aeicaieeee ?ic?iaeoe
ooieoe?iiaeuei? noaie i?eno?i?a, ye? aia?aoiei oeyoii ?ica’ycothoue
caaea/? ioe?iee no?eeino? oa ae?aaiinooaaiiy oaeiai eeano nenoai o
/anoioi? iaeano?. ?ic?iaeai? i?eno?i? caoeuai? aaoi?nueeeie
na?aeioeoaaie ia aeiaoiaee N?N?, iaoaioii Oe?a?ie oa iaoaioii
?in?enueei? Oaaea?aoe??.

C iaoith i?aeaeuaiiy oi/iino? aei??thaaeueii? ?ioi?iaoe??, yea
aeei?enoiao?oueny i?e ?ica’yceo caaea/ ioe?iee no?eeino? oa
ae?aaiinooaaiiy, ?ic?iaeaiee aeai?eoi oa ooieoe?iiaeueia noaia i?eno?ith
a?aeiiaeaiiy ao?aeieo neaiae?a aei??thaaeueieo ia?aoai?thaa/?a,
niioai?aieo ?o ?ia?oe?eieie aeanoeainoyie, c aeei?enoaiiyi O?I?.
?ic?iaeaiee i?eno??e caoeuaiee aaoi?nueeei na?aeioeoaii ia aeiao?ae
N?N?.

Io?eiai? iaoeia? ?acoeueoaoe ai?iaaaeaeai? ia ?yae? i?iieneiaeo
i?aei?e?inoa Oe?a?ie i?e ?ic?iaoe? i?e?ii?ioeani?ieo nenoai eiio?ieth,
ye?, ia a?aei?io a?ae a?aeiieo nenoai, cae?eniththoue iae?e aeo?ao an?o
aeae?a aia?aiiin??a, ui niiaeeaathoueny ye i?iieneiaei i?aei?e?inoaii o
oe?eiio, oae ? eiai no?oeoo?ieie i?ae?icae?eaie. Ai?iaaaeaeai? nenoaie
eiio?ieth aeicaieythoue i?aeaeueoe oi/i?noue iae?eo aeo?ao aia?aiiin??a,
iia?aoeai?noue eiio?ieth ca ?o ?aoe?iiaeueiei aeei?enoaiiyi, ciaioeoe
aeo?aoe ia iae?e oa eiio?ieue ca niiaeeaaiiyi aia?aiiin??a.
Ai?iaaaeaeaiee o na??eia ae?iaieoeoai i?iieneiaee e?/eeueiee aeo?ao
aaco, yeee caianaiee aei Aea?aeaaiiai ?a?no?o cania?a aei??thaaeueii?
oaoi?ee, aeiiouaieo aei aenieoaoaoe?? a Oe?a?i?.

Nienie iioae?eiaaieo i?aoeue ca oaiith aeena?oaoe??.

THoei/oe N.A. Iaoaiaoe/aneea iiaeaee ioeaiee onoie/eainoe iaeeiaeiuo
ianoaoeeiia?iuo nenoai. -Aeiieoea.: Oieaa?noi — Aeiieoea, 1997.-141n.

Iieei A.E., THoei/oe N.A., Aieiaaothe I.A. Ia iaeiii niiniaa
ii?aaeaeaiey iioeiaeueiuo ia?aiao?ia iano?ieee ?aaoeyoi?ia iai?yaeaiey
neeiauo o?ainoi?iaoi?ia n ono?ienoaaie ?II // Ecaanoey aocia. Na?.
Yia?aaoeea. — 1990.- ?11.-N.26-29.

Iieei A.E., THoei/oe N.A. E aii?ino i?eiaiaiey oai?ee /oanoaeoaeueiinoe
aeey enneaaeiaaiey iiaaaeaiey iaeeiaeiuo NAO //Ecaanoey aocia. Na?ey
Yeaeo?iiaoaieea. -1991. -?10.-N.91-96.

Iieei A.E., THoei/oe N.A. Ii?aaeaeaiea onoie/eainoe iaeeiaeiie NAO n
ia?aiaiiuie ia?aiao?aie a i?ino?ainoaa i?e?auaiee ia?aiao?ia
//Aaoiiaoeea. — 1993 — N4. — N.91 — 94.

Iieei A.E., THoei/oe N.A. Enneaaeiaaiea aeeyiey eciaiaiey ia?aiao?ia
?aeaeiiai caaia ia auoiaeiie neaiae a eioi?iaoeeiiii-ecia?eoaeueiuo
nenoaiao // Yeaeo?iiiay oaoieea. Na?.10. Iee?iyeaeo?iiiua ono?ienoaa.
-1993.-Aui.3,4 (97,98).-N.31-33.

Aeaiaioueaa TH.A., Iieei A.E., THoei/oe N.A. Eiio?ieea? n ?anoe?aiiuie
ooieoeeiiaeueiuie aiciiaeiinoyie ii aoiaeo e auoiaeo// Oi?aaeythuea
nenoaiu e iaoeiu.-?1/2.-1994.-N.14-16.

THoei/oe N.A., Aaoeoa O.I. Iaiauaiea iaoiaea aa?iiie/aneie eeiaa?ecaoeee
aeey enneaaeiaaiey iaeeiaeiuo yeaeo?iiaoaie/aneeo nenoai n ia?aiaiiuie
ia?aiao?aie //Ecaanoey aocia. Na?. Yeaeo?iiaoaieea. — 1994. — N1-2. —
N.9 — 15.

THoei/oe N.A., Aao?oa O.I. Aecia/aiiy iaeano? no?eeino? i?aoeec?eieo
aeaaa/?a iaoai?/ieo aaee/ei, ye? i?aoeththoue a ?aaeei? aaoieieeaaiue//
A?niee A?iieoeueeiai iie?oaoi?/iiai ?inoeoooo. -1994.-?3(4).-N.7-11.

THoei/oe N.A., Aieia/aiei I.I., Eaieoi A.A., THiioaa ?.I., Eioai/oe O.I.
Ieoaiiy iaoiaee/iiai oa i?ia?aiiiai caaacia/aiiy eiii’thoa?ecaoe??
iaa/aiiy ?ia?oie/ei i?ioan?yi iia?aoi??a aia?aaoe/ieo ae?iaieoeoa
//A?niee A?iieoeueeiai iie?oaoi?/iiai ?inoeoooo.-1996.-?1(10).-N.50-53.

THoei/oe N.A., Eiiae?aoaiei I.?. Iaoiae ?ica’yceo e?i?eieo
aeeoa?aioe?eieo ??aiyiue aeueo ii?yaee?a ca aeiiiiiaith aeaiaio?a
eiii’thoa?ii? aeaaa?e// A?niee A?iieoeueeiai iie?oaoi?/iiai
?inoeoooo.-1997.-?1.-N.83-87.

THoei/oe N.A. Niin?a ?ica’yceo caaea/? ?iaanoii? no?eeino? iae?i?eieo
ianoaoe?iia?ieo nenoai// A?niee AEeoiie?nueeiai ?iaeaia?ii —
oaoiieia?/iiai ?inoeoooo. -1997.-?6.-N.126-129.

THoei/oe N.A. Ocaaaeueiaiiy iaoiaeo iienoth/eo ooieoe?e aeey
iaiaeiicia/ieo iae?i?eiinoae ianoaoe?iia?ieo nenoai //A?niee
A?iieoeueeiai iie?oaoi?/iiai ?inoeoooo. -1997.-?4.-N.5-9.

Aeaeieo A.A., THoei/oe N.A. Aeai?eoi?/ia ei?aeoe?y iioeaee ia?aeiieo
aeaaa/?a //A?niee A?iieoeueeiai iie?oaoi?/iiai
?inoeoooo.-1997.-?4.-N.48-51.

THoei/oe N.A. Aecia/aiiy iaeanoae ?iaanoii? no?eeino? nenoai ea?oaaiiy
?aeaeiei aeaeo?ii?eaiaeii // I?aoe? 4-i? Oe?a?inueei? eiioa?aioe?? c
aaoiiaoe/iiai oi?aae?iiy (Aaoiiaoeea — 97).- Oii ???.- *a?eane,
*?O?.-1997.-N.141.

THoei/oe N.A. Iaoiaeieia?y aiae?co iiaaae?iee iae?i?eieo ianoaoe?iia?ieo
nenoai o i?inoi?? i?e?ino?a ia?aiao??a // A?niee
AI?.-1998.-?4.-C.104-106.

THoei/oe N.A. Iaoaiaoe/aneea iiaeaee ioeaiee ?iaanoiie onoie/eainoe
iaeeiaeiuo ianoaoeeiia?iuo nenoai // Iaeeiaeiua e?aaaua caaea/e
iaoaiaoe/aneie oeceee e eo i?eeiaeaiey: Na. iao/i. o?. -E.: Einoeooo
iaoaiaoeee IAIO.- 1998.- N.242-244.

THoei/oe N.A., Aaoianueea E.I., Caii?iaeai A.A. Aecia/aiiy iaeanoae
no?eeino? ?aeaeiiai aeaeo?ii?eaiaeo noaaeii? ae?? c? ci?iieie
ia?aiao?aie// A?niee A?iieoeueeiai iie?oaoi?/iiai
?inoeoooo.-1998.-?4.-N.53-56.

THoei/oe N.A., Euniai? A.I., Ia?ouae A.TH. Aaoiiaoecaoeey i?iaeoe?iaaiey
nenoai aaoiiaoe/aneiai oi?aaeaiey: O/aai. iiniaea. — E.: OIE AI, 1989. —
172 n.

Aieiaaothe I.A., Oea/oe A.Ae., THoei/oe N.A. Eiiiuethoa?iia
iiaeaee?iaaiea nenoai aaoiiaoe/aneiai ?aaoee?iaaiey a yeaeo?e/aneeo
naoyo // Eiio?ieue e oi?aaeaiea a yia?aaoeea. — Eeaa: OIE AI,
1988.-N.54-62.

Iieei A.E., THoei/oe N.A. Iaoaiaoe/aneea iiaeaee i?ioeannia
?aaoee?iaaiey oaoiieiae/aneeo iauaeoia yeaeo?e/aneie naoe // O?oaeu ???
iieuenei — niaaoneie iao/ii-oaoi. eiio. ”Eiiieaeniay aaoiiaoecaoeey
i?iiuoeaiiinoe” — *anoue ???.- A?ioeeaa.-1988.-N.410-415.

Aeaiaioueaa TH.A., THoei/oe N.A. Iee?ii?ioeanni?iua nenoaiu eiio?iey
oaoiieiae/aneeo ia?aiao?ia a oaieiyia?aaoeea //Eiiieaeniay
aaoiiaoecaoeey i?iiuoeaiiinoe.- O?oaeu /aoaa?oie iaaeaeoia?iaeiie
iao/ii-oaoi. eiio. Naeoeey 5.- E.: 1990.-N.21-25.

Eocueiei E.A., THoei/oe N.A., Ionaaa E.I. Iiaeoiae e ii?aaeaeaieth
a?aiaie eiio?iey e oi?aaeaiey neiaeiuo aaeaioeaiuo nenoai //Aaeaioeaiua
nenoaiu aaoiiaoe/aneiai oi?aaeaiey. -1987.-?15.-N.65-68.

THoei/oe N.A. Iaoiae ? i?eno??e aeey ae?aaiinoeee e?i?eieo aeeiai?/ieo
ia’?eo?a // I?aoe? ia?oi? Anaoe?a?inueei? eiioa?aioe?? ”Ia?iaea neaiae?a
? cia?aaeaiue, ?ici?ciaaaiiy ia?ac?a”(Oe?IA?AC-92).- Ee?a: ?E
?i.A.I.Aeooeiaa.- 1992.-N.211-214.

THoei/oe N.A. Ioeaiea noaaeeueiinoe aeeiaie/aneeo oa?aeoa?enoee EEN
ia?aaaouaathueo oeaio?ia // Eiio?ieue e oi?aaeaiea a oaoie/aneeo
nenoaiao. — Eieaa ii iaoa?. IV iaaeaeoia?iaeiie iao/ii -oaoi. eiio.
Oii3. -Aeiieoea. — 1997.-N.244-250.

THoei/oe N.A. Iaoiae e aiia?aoo?a eiio?iey noaaeeueiinoe aeeiaie/aneeo
oa?aeoa?enoee ia?aaaouaathueo oeaio?ia // Nia?aiaiiay
eiio?ieueii-eniuoaoaeueiay oaoieea i?iiuoeaiiuo ecaeaeee e eo
na?oeoeeaoeey. — O?oaeu ia?aie iao/ii-i?aeoe/aneie eiio. Oii2. —
Eeaa.-1997.-N.158-161.

A.n. 1795422 NNN?, IEE G 05 A 23/02. Ono?ienoai aeey eiio?iey eeiaeiuo
aeeiaie/aneeo iauaeoia /A.E.Iieei, A.I.Ieca?iue, N.A.THoei/oe (Oe?aeia)
?4862473/24(091143); Cayaeaii 27.08.90; Iioae. 15.02.93, Athe. ?6.-13n.

Iiceoeaia ??oaiiy ii cayaoe? ?93006169/2(1375) ia aeaea/o iaoaioo
Oe?a?ie a?ae 27.04.98 ?., IIE G 05 A 23/02. Ono?ienoai aeey ii?aaeaeaiey
onoie/eainoe eeiaeiuo nenoai oi?aaeaiey /N.A.THoei/oe, O.I.Aaoeoa;
Cayaeaii 16.07.93.- 13n.

Iaoaio 1795422 ?inneeneie Oaaea?aoeee, IEE G 05 A 23/02 Ono?ienoai aeey
eiio?iey eeiaeiuo aeeiaie/aneeo iauaeoia /A.E.Iieei, A.I.Ieca?iue,
N.A.THoei/oe (Oe?aeia).- ?4862473/28; Cayaeaii 27.08.90; Iioae.
15.02.93, Athe. ?6.-13n.

A.n. 1302299 NNN?, IEE G 06 F 15/46. Ono?ienoai aeey ecia?aiey
oaoiieiae/aneeo ia?aiao?ia /I.A.Eoceia, A.E.Iieei, A.I.Ieca?iue,
N.A.THoei/oe (NNN?).- ?3983362/24-24; Cayaeaii 27.11.85; Iioae.
07.04.87, Athe. ?13.-5n.

Iaoaio 2035820 ?inneeneie Oaaea?aoeee, IEE I 02 J 13/00. Ono?ienoai aeey
o/aoa e eiio?iey iio?aaeaiey yeaeo?iaia?aee /A.I.Aaeion, A.E.Iieei,
N.A.THoei/oe, N.A.Aeeeee (Oe?aeia).-?5039955; Cayae.06.03.92; Iioae.
20.05.95; Athe.?14.-16n.

Iaoaio 18551 Oe?a?ie, IE? I 02 J 13/00. I?eno??e aeey iae?eo oa
eiio?ieth niiaeeaaiiy aeaeo?iaia?a?? /A.I.A?eion, A.?.Iie?i,
N.A.THoei/oe, N.A.Aeeeee (Oe?a?ia).-?94051280; Cayae. 11.05.93; Iioae.
25.12.97; Athe. ?6.-18n.

Iaoaio 18484 Oe?a?ie, IE? G 01 F 1/00. I?eno??e aeey aei??thaaiiy
aeo?aoe aaco /TH.A.Aeaiaioueaa, N.A.THoei/oe (Oe?a?ia).- ?4885858/SU;
Cayae. 26.11.90; Iioae. 25.12.97; Athe. ?6.-10 n.

Iaoaio 2069045 ?inneeneie Oaaea?aoeee, IEE G 01 F 1/34, 1/40.
?anoiaeiia? aaca /A.I.Aaeion, TH.A.Aeaiaioueaa, A.E.Iieei, N.A.THoei/oe
(Oe?aeia).-?94001983; Cayae. 25.01.94; Iioae. 10.11.96; Athe. ?31.-14 n.

Iaoaio 23020 Oe?a?ie, IE? G 01 F 1/00. Aeo?aoii?? aaco /A.I.A?eion,
TH.A.Aeaiaioue?a, A.?.Iie?i, N.A.THoei/oe.- ?94022144; Cayae. 02.02.94?;
Iioae. 30.06.98; Athe.?3.- 17 n.

Iaoaio 24583 A Oe?a?ie, IE? G 01 F 1/00. Aeo?aoii?? aaco /A.?.Iie?i,
N.A.THoei/oe, TH.A.Aeaiaioueaa, A.A.Einothe (Oe?a?ia).- ?97062993;
Cayae. 23.06.97; — 14n.

THoei/oe N.A. Eioi?iaoeeiiiua n?aaenoaa eiio?iey ?anoiaea
yia?aiiineoaeae ia i?iiuoeaiiuo i?aaei?eyoeyo //Anaie?iue eiia?ann
?TS-93 ”Eioi?iaoeeiiiua eiiioieeaoeee, naoe, nenoaiu e oaoiieiaee”.-Na.
oac. aeiee.-I.: 1993.-N.203-204.

Auaeiuo A.A., Iieei A.E., THoei/oe N.A. Iee?ii?ioeanni?iua nenoaiu
eiio?iey e o/aoa yia?aiiineoaeae ia i?iiuoeaiiuo i?aaei?eyoeyo // Ia?aay
Oe?aeineay eiio. ii aaoiiaoe/aneiio oi?aaeaieth.- Na. oac. aeiee.
*.??.-E.: 1994.- N.403.

A?eion A.I., Aeaeieo A.A., Aeaiaioue?a TH.A., Iie?i A.?., THoei/oe N.A.
Aaeaioeaia i?e?ii?ioeani?ia nenoaia eiio?ieth oa iae?eo niiaeeaaiiy
aeaeo?iaia?a?? ia i?iieneiaiio i?aei?e?inoa? // Iaoaiaoe/ia
iiaeaethaaiiy a aeaeo?ioaoieoe? e aeaeo?iaia?aaoeoe?.- Oace aeii. ia?oi?
i?aei. iaoeiai-oaoi. eiio.- Euea?a.-1995.-N.126.

Iieei A.E., THoei/oe N.A. Ia iaeiii aeai?eoia iiaeaee?iaaiey iiaaaeaiey
iaeeiaeiuo ianoaoeeiia?iuo nenoai //A na. iaoa?eaeia ITE n
iaaeaeoia?iaeiui o/anoeai. I?eai?ino?iaiea-95. Aeiieoea — Eueaia, 1995,
N.3 — 4.

Aieia/aiei I.I., THoei/oe N.A. Aaoiiaoeciaaia nenoaia oi?aae?iiy
iaa/aiiyi iia?aoi??a OAN //Iia? ?ioi?iaoe?ei? oaoiieia?? iaa/aiiy a
o/aiaeo caeeaaeao Oe?a?ie.- Noaoo? ca iaoa?. aeiiia?aeae V Oe?a?inueei?
iaoeiai -iaoiae. eiio. -Iaeana.-1997.-N.102-103.

Iie?i A.?., THoei/oe N.A., Eaieoi A.A. Iaoiaee oa i?ia?aie eiii’thoa?ii?
i?aeaioiaee iia?aoi??a // Iia? ?ioi?iaoe?ei? oaoiieia?? iaa/aiiy a
o/aiaeo caeeaaeao Oe?a?ie.- Noaoo? ca iaoa?. aeiiia?aeae ???
Oe?a?inueei? iaoeiai -iaoiae. eiio. -Iaeana.-1996.-N.94-96.

Iniaenoee aianie a ?iaioao, iioae?eiaaieo o ni?aaaoi?noa?:

[2,3,4,5,7,8,9,10,13,17,18,19,20,22] — cae?eniaii aeaaaeaiiy iniiaieo
aiae?oe/ieo ni?aa?aeiioaiue, ?ic?iaeai? a?aeiia?aei? aeai?eoie,
i?iaaaeai? ?ic?aooiee ia AII; [6,21] — cai?iiiiiaai? no?oeoo?i? noaie
a?aeiia?aeieo i?eno?i?a oa nenoai; [26,27,28,29,30,31] — ?ic?iaeai?
iiaeae?, ui aeicaieythoue cae?enieoe aia?aoio ?aae?caoe?th ?ica’yceo
a?aeiia?aeieo caaea/; [32,33,34,35] — ?ic?iaeai? ooieoe?iiaeuei? noaie
i?eno?i?a; [37,38,39,40,441] — ?ic?iaeai? no?oeoo?i? noaie oa aeai?eoie
?iaioe /e iiaeaethaaiiy a?aeiia?aeieo nenoai.

AIIOAOe?ss

THoei/oe N.A. Iiaoaeiaa iaoiaeieia?? iaoaiaoe/iiai iiaeaethaaiiy
iae?i?eieo ianoaoe?iia?ieo nenoai aeey caaea/ ioe?iee ?o no?eeino? oa
/ooeeaino? a i?inoi?? i?e?ino?a ia?aiao??a. — ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a oaoi?/ieo iaoe ca
niaoe?aeuei?noth 01.05.02 — iaoaiaoe/ia iiaeaethaaiiy oa ia/enethaaeuei?
iaoiaee. — A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao, A?iieoey,
1999.

Aeena?oaoe?y i?enay/aia ?ic?iaoe? iaoiaeieia?? iiaeaethaaiiy iae?i?eieo
ianoaoe?iia?ieo nenoai o i?eioeeiiai iiaiio i?inoi?? iieno ?o iiaaae?iee
— i?inoi?? i?e?ino?a ia?aiao??a. Cae?eniaii iaoaiaoe/iee iien oaeiai
i?inoi?o oa ocaaaeueiaiiy eeane/iiai iaoiaeo iienoth/eo ooieoe?e.
Anoaiiaeaii, ui cai?iiiiiaaia iaoiaeieia?y aeicaiey? ?ica’ycoaaoe
cai?ioi? caaea/? ?iaanoii? no?eeino? eeano nenoai, ui ?icaeyaeathoueny.
Cai?iiiiiaai? eiino?oeoeai? aeai?eoi?/i? oa /enaeuei? iaoiaee aiae?co
iiaaae?iee nenoai oaeiai eeano, aoaeoeai?noue yeeo iaa?oioiaaia
oai?aoe/ii oa i?aeoaa?aeaeaia oe?ieei ai?iaaaeaeaiiyi. Iniiai?
?acoeueoaoe ?iaioe ciaeoee canoinoaaiiy i?e i?iaeooaaii? iiaeo nenoai oa
i?eeaae?a iae?eo an?o aeae?a aia?aiiin??a ia i?iieneiaeo i?aei?e?inoaao,
a oaeiae i?e ?ic?iaoe? eiii’thoa?ieo oaoiieia?e i?aeaioiaee iia?aoi??a
oaieiaeo aeaeo?inoaioe?e.

Eeth/ia? neiaa: iaoaiaoe/ia iiaeaethaaiiy, iaoiaeieia?y, iae?i?ei?
ianoaoe?iia?i? nenoaie, no?ee?noue, /ooeea?noue, /enaeuei? iaoiaee.

Yukhimchuk S.V. Designing of methodology of mathematical modelling for
non — linear non — stationary systems for evaluation their stability and
sensibility in the space of parameters increments. — Manuscript.

Thesis for a doctor’s degree by speciality 01.05.02 — mathematical
modelling and computer methods. — Vinnitsa State Technical University,
Vinnitsya , 1999.

The dissertation is devoted to the development of methodology of
modelling non — linear non — stationary systems in the principally new
space of description their behaviour , the space of parameters
increments. The mathematical description of the space as well as
generalization of classical method of descriptive functions have been
carried out. It has been stated that the proposed methodology makes it
possible to solve reverse robust stability problems of the mentioned
class of systems. The constructive algorithmic and numerical methods
analysing behaviour of the mentioned systems have been proposed. Their
efficiency has been grounded theoretically and it is confirmed by wide
implementation. The main results of the dissertation have been used in
designing new systems and devices for counting all kinds of energy
carriers at the industrial enterprises as well as in designing computer
technologies for training operators of thermal power stations.

Key words: mathematical modelling, methodology, non — linear non —
stationary systems, stability, sensibility, numerical methods.

THoei/oe N.A. Iino?iaiea iaoiaeieiaee iaoaiaoe/aneiai iiaeaee?iaaiey
iaeeiaeiuo ianoaoeeiia?iuo nenoai aeey caaea/ ioeaiee eo onoie/eainoe e
/oanoaeoaeueiinoe a i?ino?ainoaa i?e?auaiee ia?aiao?ia. — ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a oaoie/aneeo iaoe ii
niaoeeaeueiinoe 01.05.02 — iaoaiaoe/aneia iiaeaee?iaaiea e
au/eneeoaeueiua iaoiaeu. — Aeiieoeeee ainoaea?noaaiiue oaoie/aneee
oieaa?neoao, Aeiieoea, 1999.

Aeenna?oaoeey iinayuaia ?ac?aaioea iaoiaeieiaee iiaeaee?iaaiey
iaeeiaeiuo ianoaoeeiia?iuo nenoai a i?eioeeieaeueii iiaii i?ino?ainoaa
iienaiey eo iiaaaeaiey — i?ino?ainoaa i?e?auaiee ia?aiao?ia.
Inouanoaeaii iaoaiaoe/aneia iienaiea iiaiai i?ino?ainoaa. Iieacaii, /oi
iiaaaeaiea nenoai a iiaii i?ino?ainoaa ?anniao?eaaaony ioiineoaeueii
i?e?auaiee ia?aiaiiuo ninoiyiee, eioi?ua iaoneaaeeaathony i?e?auaieyie
ia?ae/iuo ia?aiao?ia nenoai. ?ac?aaioaiu eiino?oeoeaiua aeai?eoiu
aiaeeca iiaaaeaiey nenoai ?anniao?eaaaiiai eeanna a i?ino?ainoaa
i?e?auaiee ia?aiao?ia. Aaaaeaiiia iiaia i?ino?ainoai iienaiey iiaaaeaiey
nenoai iicaieeei nicaeaoue iiaue iaoiae ioeaiee onoie/eainoe iaeeiaeiuo
ianoaoeeiia?iuo nenoai, /oi aeaei aiciiaeiinoue ?ac?aaioaoue
iaoiaeieiaeth aiaeeca iiaaaeaiey ?anniao?eaaaiiai eeanna nenoai. A
aeenna?oaoeee iiae?iaii iienuaaaony i?aaeeiaeaiiay iaoiaeieiaey. Aeey aa
oniaoiiai eniieueciaaiey a eiaeaia?iie i?aeoeea i?iaeoe?iaaiey nenoai
inouanoaeaii iaiauaiea iaoiaea iienuaathueo ooieoeee ia neo/ae ?acee/iuo
oa?aeoa?ia eciaiaiey ia?ae/iuo ia?aiao?ia oeiiauo iaeiicia/iuo e
iaiaeiicia/iuo iaeeiaeiuo yeaiaioia, aoiaeyueo a no?oeoo?iua noaiu
nenoai ?anniao?eaaaiiai eeanna.

N oeaeueth iiaeoaa?aeaeaiey aiciiaeiinoae eniieueciaaiey ?iaanoiie
iaoiaeieiaee iiaeaee?iaaiey ?aoaia caaea/a ?iaanoiie onoie/eainoe e
/oanoaeoaeueiinoe ?yaea iaeeiaeiuo eioi?iaoeeiiii — ecia?eoaeueiuo
nenoai n ia?aiaiiuie ia?aiao?aie. E?iia oiai oaeay iaoiaeieiaey
iiaeaee?iaaiey iicaieeea ?aoeoue ia?aoioth caaea/o ?iaanoiie
onoie/eainoe — a aeenna?oaoeee iieo/aiu iaeanoe eciaiaiey ia?ae/iuo
ia?aiao?ia, a eioi?uo nio?aiyaony naienoai onoie/eainoe ?yaea nenoai
?anniao?eaaaiiai eeanna.

A aeenna?oaoeee, eniieuecoy ?ac?aaioaiioth iaoiaeieiaeth, ?aoaia caaea/a
ioeaiee ?iaanoiie onoie/eainoe e i?iaaaeaia iioeiecaoeey ia?aiao?ia NA?
neeiauo o?ainoi?iaoi?ia n ono?ienoaaie ?aaoee?iaaiey iiae iai?yaeaieai,
eioi?ua yaeythony iniiaiuie e iaeaieaa yooaeoeaiui n?aaenoaii
iaania/aiey ea/anoaa iai?yaeaiey a yeaeo?e/aneie naoe. Oaeaea
?ac?aaioaiu aeai?eoiu ioeaiee onoie/eainoe, aeeaaiinoe?iaaiey ninoiyiey
iaeeiaeiuo ianoaoeeiia?iuo nenoai, eioi?ua aiciiaeii eeiaa?eciaaoue e
aeai?eoi ainnoaiiaeaiey neaiaeia ia?ae/iuo ecia?eoaeueiuo
i?aia?aciaaoaeae, eneaaeaiiuo eo aeeiaie/aneeie naienoaaie. Ia iniiaaiee
oaeeo aeai?eoiia ?ac?aaioaiu ooieoeeiiaeueiua noaiu ono?ienoa,
aaoiiaoece?othueo i?ioeann ?aoaiey ?anniao?eaaaiuo caaea/. Oaoie/aneay
iiaecia i?aaeeiaeaiiuo ono?ienoa caueuaia aaoi?neeie naeaeaoaeuenoaaie
NNN?, iaoaioii Oe?aeiu e ?inneeneie Oaaea?aoeee.

Iniiaiua iao/iua ?acoeueoaou ?aaiou iicaieeee ?ac?aaioaoue e aiaae?eoue
ia i?iiuoeaiiuo i?aaei?eyoeyo iee?ii?ioeanni?iua nenoaiu eiio?iey e
o/aoa ?anoiaea yia?aiiineoaeae, i?eai? o/aoa i?iiuoeaiiiai ?anoiaea
aaca, iee?ii?ioeanni?ioth nenoaio eiio?iey noaaeeueiinoe aeeiaie/aneeo
oa?aeoa?enoee eioi?iaoeeiiii — ecia?eoaeueiuo nenoai ia?aaaouaathueo
oeaio?ia e eiiiuethoa?ioth oaoiieiaeth iiaeaioiaee iia?aoi?ia oaieiauo
yeaeo?inoaioeee.

Eeth/aaua neiaa: iaoaiaoe/aneia iiaeaee?iaaiea, iaoiaeieiaey, iaeeiaeiua
ianoaoeeiia?iua nenoaiu, onoie/eainoue, /oanoaeoaeueiinoue, /eneaiiua
iaoiaeu.

PAGE

kAe

x(t)

Wc (p)

W?A(p)

B(t),B

1 2 2,75 3 4 5 6
7 7,84 N(t),mA

14,6

12

9

6

3

B(t),B

12

10,86

9

6

3

1 2 3 4 5 5,5 6
N(t),mA

x

?A

u

Fei

Fao

yao

IE

NAeAO(I)

III?

AE

EI

AeI

?N

*A

b

10

9,82

9,37

8,74

7,93

6,79

1 2 3 4
5 C(t)

c(t)=c0+ct

c(t)=c0-ct

-c0

-mc0

y

b0

-b0

c0

x

-b0

-c0

c0

x

b0

y

c0

x

-b0

mc0

b0

-mc0

-c0

y

y

b0

-c0

x

c0

-b0

y

b0

-c0

x

c0

-b0

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