C:11ar.doc

I?I?NOA?NOAI INA?OE OE?A?IE

OA?NIINUeEEE AeA?AEAAIEE OAOI?*IEE

OI?AA?NEOAO

OTHAAIOAEUe O?AIE

OAeE 681.5.015.2

NEIOAC AEAI?EOI?A IA?AIAO?E*II? IIOEI?CAOe?? OeEO?IAEO NENOAI EA?OAAIIss

05.13.03 – Nenoaie oa i?ioeane ea?oaaiiy

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Oa?nii — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Oa?e?anueeiio ?inoeooo? iiaeaaeii? aaciaee,
I?i?noa?noai aioo??oieo ni?aa Oe?a?ie.

Iaoeiaee ea??aiee aeieoi? oaoi?/ieo iaoe, i?ioani?

Aa?aiia TH??e Ieaen?eiae/,

Oa?e?anueeee ?inoeooo iiaeaaeii? aaciaee, i?i?aeoi? c iaoeiai? ?iaioe

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

Ia?anaiia Aieiaeeie? Aaneeueiae/,

Oa?niinueeee aea?aeaaiee aa?a?iee oi?aa?neoao, caa. eaoaae?e
aeiiii?/ii? e?aa?iaoeee;

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

Noai?i Ieaenaiae? Ao?eeaiiae/,

Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie “EI?”, i?ioani? eaoaae?e
oaoi?/ii? e?aa?iaoeee.

I?ia?aeia onoaiiaa Aea?aeaaiee aa?ieini?/iee oi?aa?neoao
?i. I. ?. AEoeianueeiai “Oa?e?anueeee aa?aoe?eiee
?inoeooo”.

Caoeno a?aeaoaeaoueny “24” eenoiiaaea 1999 ?. i 13:00 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 67.052.01 Oa?niinueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo, 325008, i.Oa?nii, Aa?eneaanueea
oina, 24, oae. 55-17-31

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Oa?niinueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo, 325008, i.Oa?nii, Aa?eneaanueea
oina, 24.

Aaoi?aoa?ao ?ic?neaiee “22” aeiaoaiy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee A.I.Eino?i

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. No/ani? aeinyaiaiiy iaoeiai-oaoi?/iiai i?ia?ano
aeeeeeaee ?ioaineaiee ?icaeoie iiaeo ?ioi?iaoe?eieo oaoiieia?e ?, ye
iane?aeie, aeieeiaiiy neeaaeieo ea?o?ieo eiiieaen?a o i?iieneiaiio
ae?iaieoeoa? oa noi?aeieo aaeocyo. No/aniee ??aaiue oaoi?/iiai ?
oaoiieia?/iiai ?icaeoeo aenoaa? iia? aeiiae aei nenoai ea?oaaiiy
oaoiieia?/ieie i?ioeanaie, nenoaiaie ? eiiieaenaie. Ia?aaaeeea?oeie
aniaeoaie i?e oeueiio aenooiathoue aoaeo?ai?noue ea?oaaiey, aa?o?noue,
iaae?ei?noue, eiaa??aioi?noue aei eiie?aoiiai oeio ia’?eoa, aaciaea, a
oiio /ene? aeieia?/ia ? iiaeaaeia, ine?eueee oey i?iaeaia iinoa? ca?ac
aeineoue aino?i o anana?oiueiio ianooaa?. Iniaeeaa cia/aiiy oaeoi?
aaciaee aenieoaoaoe?? iaaoaa? aeey ia’?eo?a aoiiii? aia?aaoeee,
oaoiieia?/ieo eiiieaen?a o?i?/ieo ? iaoaeo?a?eieo ae?iaieoeoa, iecee
?ioeo ae?iaie/eo nenoai.

I?iaeaia neioaca aoaeoeaii? nenoaie ea?oaaiiy ? aeineoue neeaaeiei
caaaeaiiyi. Ni?aaa a oiio, ui ?aaeueiee ea?o?iee i?ioean iieno?oueny, ye
i?aaeei, iae?i?eieie caeaaeiinoyie, cia/iei ??aiai caaaae oa ?o
ei?aeueiaai?noth,a?aenooi?noth ai??i?ii? ?ioi?iaoe?? i?i ia?aiao?e
ia’?eoa. An? oe? oaeoi?e oneeaaeiththoue aea?? aaeaeaaoii? iaoaiaoe/ii?
iiaeae? ? ?ic?iaeo iioeiaeueiiai (a niene? ia?aiiai e?eoa??y) caeiia
ea?oaaiiy.

Aea e??i oeueiai, ?nio? oaeiae i?iaeaia ?aae?caoe?? iioeiaeueiiai
ea?oaaiey, ine?eueee a?eueo?noue ?aaeueieo ia’?eo?a iaeaaeiaii
nenoaiaie, ui ?aae?cothoue aeai?eoie aeineoue aeaeae? a?ae iioeiaeueieo.
A iniiaiiio oea ia?aiao?e/ii iioei?co?i? aeai?eoie, aei yeeo
a?aeiinyoueny oe?iei ?iciianthaeaeai?
i?iii?oe?eii-?ioaa?aeueii-aeeoa?aioe?ei? ?aaoeyoi?e. Cia/iee aianie o
?icaeoie oai??? oa i?aeoeee ia?aiao?e/ii iioei?co?ieo aeai?eoi?a
ea?oaaiiy aianee i?iaoeuee? iaoeiaoe? ?, ia?o ca ana, i?io. ?. ?ca?iai,
a oaeiae aia?eeainuee?, oe?a?inuee? oa ?in?enuee? aeine?aeieee.

O ca’yceo c oeei aeieeea iaiao?aei?noue ?ic?iaee ia?aiao?e/ii
iioei?co?ieo aeai?eoi?a ea?oaaiiy oa i?ioeaaeo? iano?ithaaiiy ?o
ia?aiao??a aeey noioanoe/ieo ianoaoe?iia?ieo ia’?eo?a ca oiia ai??i?ii?
iaaecia/aiino? i?i caaaaee oa oa?aeoa?enoeee ia’?eoa.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioo aeeiiaii
o iaaeao aeiaiai?o i?i iaoeiai-oaoi?/ia ni?a?ia?ieoeoai i?ae
Oa?e?anueeei ?inoeoooii iiaeaaeii? aaciaee ? o??iith “Ae-? Ooaoai ?
ia?oia?e. I?ia?aiia ? nenoaiia caaacia/aiiy”, O?I, i. ?eueiaiao, ui
ia?aaeaa/a? ?ic?iaeo iaoaiaoe/iiai, i?ia?aiiiai ? oaoi?/iiai
caaacia/aiiy nenoai ea?oaaiiy ?aaeueiiai /ano oe?ieei eeanii ia’?eo?a,
aeeth/ath/e aaoiiaoeciaai? nenoaie neaiae?caoe?? ? iiaeaaeaaan?iiy.

Iaoith ?iaioe ? ?ic?iaea ? aeine?aeaeaiiy aeai?eoi?a ia?aiao?e/ii?
iioei?caoe?? oeeo?iaeo nenoai ea?oaaiiy oe?ieei eeanii ia’?eo?a a oiiaao
ai??i?ii? iaaecia/aiino? oa noai?aiiy a?aeiia?aeiiai i?ia?aiiiai
caaacia/aiiy.

Iinoaaeaia iaoa ?iaioe iaa?oiooaaea oae? caaea/? aeine?aeaeaiiy:

· aea/aiiy oa aiae?c a?aeiieo i?aeoiae?a aei neioaco ia?aiao?e/ii
iioei?co?ieo aeai?eoi?a ea?oaaiiy;

· ?ic?iaea oa aeine?aeaeaiiy aaeaioeaieo ?aeo?aioieo aeai?eoi?a
iano?ithaaiiy ia?aiao?e/ii iioei?co?ieo ?aaoeyoi??a aeey ia’?eo?a, ui
ooieoe?iiothoue a oiiaao nooo?ai? ai??i?ii? oa iioi/ii? iaaecia/aiino?;

· ?ic?iaea oa aeine?aeaeaiiy aaeaioeaieo ?aeo?aioieo aeai?eoi?a
ia?aiao?e/ii? ?aeaioeo?eaoe??, ui i?ecia/ai? aeey ?iaioe ca oiia
ei?aeueiaaieo caaaae;

· ?ic?iaea oa aeine?aeaeaiiy aaeaioeaieo eii?aeeiiaaieo aeai?eoi?a
ea?oaaiiy ? ?aeaioeo?eaoe?? ianoaoe?iia?ieo noioanoe/ieo ia’?eo?a;

· i?ia?aiia ?aae?caoe?y ?ic?iaeaieo aeai?eoi?a oa i?iaaaeaiiy iaoeiiiai
aenia?eiaioo c iaoith aeiaaaeaiiy ?o aoaeoeaiino?.

Iaoeiaa iiaecia aeena?oaoe?eii? ?iaioe:

· ?ic?iaeaii ?aeo?aioi? aaeaioeai? aeai?eoie iano?ithaaiiy ia?aiao?e/ii
iioei?co?ieo nenoai ea?oaaiiy noioanoe/ieie aeeiai?/ieie
ianoaoe?iia?ieie ia’?eoaie, ui ? c ia/enethaaeueii? oi/ee ci?o aiaeiaaie
iioeiaeueiiai iaeiie?ieiaiai aeai?eoia ?aeaioeo?eaoe?? ? ?aeo?aioiiai
iaoiaeo iaeiaioeo eaaae?ao?a;

· ?ic?iaeaii aaaaoie?ieia? i?iaeoe?ei? ?aeo?aioi? aaeaioeai? aeai?eoie
?aeaioeo?eaoe??, ui aeicaieythoue a?aene?aeeiaoaaoe iia?eueiee ae?aeo
ia?aiao??a ia’?eoa oa caaacia/othoue aenieo ye?noue ioe?ithaaiiy a
oiiaao ei?aeueiaaieo caaaae;

· ?ic?iaeaii aaeaioeai? ?aeo?aioi? aeai?eoie eii?aeeiiaaiiai ea?oaaiiy
oa ?aeaioeo?eaoe??, ui aeicaieythoue a???ooaaoe caaea/? ia iaeiiio
ia/enethaa/o, ui i?aoeth? o i?enei?aiiio ianooaa? /ano.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a ?iaioe iieyaa? a oiio, ui
?ic?iaeai? aaeaioeai? aeai?eoie aeicaieythoue oni?oii ae??ooaaoe oe?ieee
eean caaea/ ea?oaaiiy ca oiia ai??i?ii? oa iioi/ii? iaaecia/aiino? ? i?e
oeueiio ?iaa??aioi? aei eiie?aoiiai oeio ia’?eoa ea?oaaiiy.

Iniaenoee aianie caeiaoaa/a. An? iniiai? ?acoeueoaoe iaea?aeaii iniaenoi
caeiaoaa/ai. A ?iaioao [1, 3-5, 7] aaoi?o iaeaaeaoue no?oeoo?a caeiio
ea?oaaiiy ? aeai?eoi eii?aeeiaoe?? caaea/ ea?oaaiiy ? ?aeaioeo?eaoe??; a
?iaio? [2] – aeai?eoi iano?ithaaiiy ia?aiao??a ?aaoeyoi?a; a ?iaio? [6]
– ioe?iee iioeaie, ui aeieeathoue i?e ei?aeueiaaieo caaaaeao; a [8,9] –
?aeo?aioiee aeai?eoi aeaei?aeyoe?? aeaieo, caa?oaeiaieo eieuei?iaeie
cao?aiiyie.

Ai?iaaoe?y ?acoeueoao?a. Iniiai? ?acoeueoaoe aeena?oaoe?eiie ?iaioe
aeiiia?aeaeenue oa iaaiai?thaaeenue ia i?aeia?iaeiiio eieiea?oi? 42.
Internationales Wissenschaftliches Kolloquium (?eueiaiao, O?I), 3-e
I?aeia?iaei?e eiioa?aioe?? “Oai??y ? oaoi?ea ia?aaea/?, i?eeiio oa
ia?iaee ?ioi?iaoe??” (Ooaina, ?O), I?aeia?iaei?e iaoeiai-oaoi?/i?e
iaoeia?e eiioa?aioe?? MicroCAD’97 (Oa?e?a, Oe?a?ia), I?aeia?iaei?e
iaoeia?e eiioa?aioe?? “A?aiiii?ea ia aaoiiia?eueiiio o?ainii?o?”
(Oa?e?a, Oe?a?ia), ia nai?ia?ao a Oa?e?anueeiio ?inoeooo? iiaeaaeii?
aaciaee oa Oa?e?anueeiio aea?aeaaiiio aaoiiia?eueii-oeyoiaiio oaoi?/iiio
oi?aa?neoao?.

Ioae?eaoe??. Ca ?acoeueoaoaie aeine?aeaeaiue iioae?eiaaii 9 ae?oeiaaieo
i?aoeue, c ieo 4 o iaoeiaeo oaoiaeo aeaeaiiyo, 5 aeiiia?aeae oa oac.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?y neeaaeaaoueny c anooio, oinoe
?icae?e?a, aeniiaeo ? ia? caaaeueiee ianya 152 noi?. I?noeoue 18
iaethie?a, nienie aeei?enoaieo e?oa?aoo?ieo aeaea?ae c 134 iaeiaioaaiue.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue i?iaeaie, ui ?icaeyaea?oueny a
?iaio?, iieacaii caaaeueio oa?aeoa?eneeo aeena?oaoe?? oa iaaaaeaii
ei?ioeee ci?no eiaeiiai ?icae?eo.

Ia?oee ?icae?e aeena?oaoe?? i?enay/aii iaeyaeo noaio i?iaeaie oa
iinoaiiaoe? caaea/? aeine?aeaeaiiy.

A yeino? ia’?eoa ea?oaaiiy ?icaeyiooi e?i?eiee aeeiai?/iee noioanoe/iee
ia’?eo, ui iieno?oueny ??cieoeaaei ??aiyiiyi aeaeyaeo

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?aaoeyoi? c anoaoeciii, ui ia? ia?aaeaoi/io ooieoe?th

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aea/aiee i?io. ?. ?ca?iaiii.

Ie ?icaeyaea?ii iaea?eueo caaaeueio oi?io ia?aiao?e/ii iioei?co?iiai
?aaoeyoi?a

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(8), (9), oiui.

Iniiaia iaoa aeine?aeaeaiiy iieyaa? o iiooeo oaeeo ia?aiao??a ?aaoeyoi?a
(11) wmetafile8? ??Ae?oaee ?icae?e aeena?oaoe?? i?enay/aii neioaco
aaeaioeaieo i?ioeaaeo? iano?ithaaiiy ia?aiao?e/ii iioei?co?ieo
?aaoeyoi??a ca i?eiouaiiy, ui caoaeaeaiiy, ae?th/? ia ia’?eo, ?
iaei?aeueiaaieie. A caaaeueiiio aeiaaeeo a yeino? aaciai? i?ioeaaeo?e
iano?ithaaiiy ia?aiao??a i?eeia?ii i?ioeaaeo?o oeia Aaona-I’thoiia, ui
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no?oeoo?ii ni?aiaaea? c oe?iei a?aeiiei iaeiie?ieiaei iioeiaeueiei
aaeaioeaiei aeai?eoiii ?aeaioeo?eaoe??.

Aei ?a/?, aeey iaea?eueo ?iciianthaeaeaiiai ?aaoeyoi?a (8) aeai?eoi (16)
iaaoaa? aeaeyaeo

wmetafile8? ??aea wmetafile8? ??A???????????
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` !???&??yyyy?????Ayyyyyy`!???? ???&? ?MathType??P?
???u?????????»????-?????a?K????a?a????u*thE?????A?eueo
neeaaeia neooaoe?y aeieea? i?e aeei?enoaii? eieaeueiiai e?eoa??th oeio
ocaaaeueiaii? i?i?iaeueii? aeenia?n??, ine?eueee aeieeathoue i?iaeaie c
aeai?ii aaaiaeo eiao?oe??io?a, ye? nooo?ai aieeaathoue ia ye?noue
i?ioean?a ea?oaaiiy. Caaea/o iiaea aooe ni?iuaii, yeui aeei?enoaoe
i?aeo?ae, ?iciianthaeaeaiee o oai??? aeine?aeaeaiiy iia?aoe?e ?
iia’ycaiiee c iioei?caoe??th eeoa iaeiiai e?eoa??y, a oie /an ye ?io?
?icaeyaeathoueny ye aeaye? ia??aiino?. Oiaoi iiaeia eacaoe i?i
iioei?caoe?th e?eoa??y (13) ca iayaiino? aeiaeaoeiaeo iaiaaeaiue

wmetafile8? ??A???????????
???????????yyy????.????1?????? ???????
a`(???&??yyyy?????Ayyy?yyy (??™?? ???&?
?MathType??P???uqyE?????aea inoaiiy ia??ai?noue iiia?aaeaeo? cia/i?
“no?eaee” ia?aiao??a ?aaoeyoi?a a i?ioean? iano?ithaaiiy.

Iiooe n?aeeiai? oi/ee ooieoe?? Eaa?aiaea

wmetafile8? ??e???????????
???????????yyy????.????1?????? ???????
?A»???&??yyyy?????AyyyYyyy?»??%?? ???&?
?MathType??0???uqyE?????(ooo wmetafile8? ??u????????????
???????????yyy????.????1?????? ???????
?`???&??yyyy?????Ayyyyyy ???? ???&?
?MathType??P????u?y?????? ca aeiiiiiaith i?ioeaaeo?e

wmetafile8? ??x???????????
???????????yyy????.????1?????? ???????
``???&??yyyy?????Ayyy¶yyy ???? ???&?
?MathType??0???u*thE?????(ooo wmetafile8? ??W???????????
???????????yyy????.????1?????? ??????? ``
???&??yyyy?????Ayyy!yyy ???? ???&? ?MathType??P????u?y??????
(21)

ui aaoiiaoe/ii ia?aoai?th?oueny ia (16), yeui an? iaiaaeaiiy aeeiiai?.

I?e aeei?enoaii? aaaaoie?ieiaiai e?eoa??y (4), yeee iiaea aooe
ia?aienaii o aeaeyae?

wmetafile8? ?? ???????????
???????????yyy????.????1?????? ??????? @A
???&??yyyy?????Ayyy?yyy? ??i?? ???&?
?MathType??a????uqyE?????aac aeiaeaoeiaeo eiiaioa??a ianeeaaeii
caienaoe

wmetafile8? ??«???????????
???????????yyy????.????1?????? ???????
@A???&??yyyy?????Ayyy?yyy???i?? ???&? ?MathType??a?
???u?????????»????-?????(@????(W???uqyE????? wmetafile8?
??O??????????? ???????????yyy????.????1??????
??????? a ???&??yyyy?????Ayyy°yyya?? wmetafile8?
?????????????? ???????????yyy????.????1??????
???????  a

???&??yyyy?????Ayyy?yyy 

??O?? ???&? ?MathType??  ???u?????????»????-?????Ri
???R????AE???AE8???u th??????ui ni?aiaaea? c oe?iei
a?aeiiei ?aeo?aioiei iaoiaeii iaeiaioeo eaaae?ao?a.

Iaea?eueo aaaeeeaei ooo ? oa, ui eiee ia?aiao?e ia’?eoa iaa?aeii?, aiie
iiaeooue ooi/ithaaoeny o ?aaeueiiio /an? o iano?ithaai?e iiaeae? ca
aeiiiiiaith oeo naieo aeai?eoi?a (o iaoiio aeiaaeeo iaeiie?ieiaee
iioeiaeueiee oa ?aeo?aioiee iaoiae iaeiaioeo eaaae?ao?a), ui
iano?iththoue ? ia?aiao?e ?aaoeyoi?a. Oiaoi o nenoai? ea?oaaiiy, noaio
yei? iaaaaeaii ia iaethieo, aeey iano?ithaaiiy iiaeae? ? ?aaoeyoi?a
iiaeii aeei?enoaoe ?aeeiee ia/enethaa/, ui ca iaei??th ? o??th ae
i?ia?aiith ii/a?aiai ooi/ith? aaeoi?e ia?aiao??a wmetafile8?
??A???????????? ???????????yyy????.????1??????
??????? aA???&??yyyy?????AyyyIyyy????? ???&?
?MathType??P????u th??????

Iae.1. Noaia ia?aiao?e/ii iioei?co?ii? aaeaioeaii? nenoaie ea?oaaiiy
aeeiai?/iei noioanoe/iei ia’?eoii c ?aeeiei aeieii iano?ithaaiiy

O?ao?e ?icae?e aeena?oaoe?? i?enay/aii neioaco aaeaioeaieo i?ioeaaeo?
iano?ithaaiiy ia?aiao?e/ii iioei?co?ieo ?aaoeyoi??a ca iayaiino?
ei?aeueiaaieo caoaeaeaiue, ui ae?thoue ia ia’?eo. Iniiai? i?iaeaie, ui
ooo aeieeathoue, iia’ycai? c iaiao?aei?noth aaaaeaiiy iine?aeiaiino?
iiiaeaiue wmetafile8? ??E????????????
???????????yyy????.????1?????? ???????
?A???&??yyyy?????Ayyyyyy????? ???&?
?MathType??P????u th??????wmetafile8? ??y ???????????
???????????yyy????.????1?????? ???????
?`.???&??yyyy?????Ayyy§yyy .??’?? ???&?
?MathType??p???u*thE?????I?e oeueiio aenia?eiaioaeueii aeiaaaeaii, ui
oaeaee?noue ca?aeiino? i?ioeanno ?aeaioeo?eaoe?? i?aeaeuo?oueny, aea
oi/i?noue ioe?iie caeeoa?oueny aeineoue iecueeith, ui iio?aao? nooo?ai?
iiaeeo?eaoe?? aeei?enoiao?ieo ?aeo?aioieo aeai?eoi?a ?aeaioeo?eaoe??.

?aeay aeei?enoaiiy ?aeeiiai ia/enethaa/a o ii?aeiaii? c iaoiaeaie oai???
aeine?aeaeaiiy iia?aoe?e oa i?eioeeiaie eii?aeeiaoe??
Iana?iae/a-Iaei-Oaeaoa?e i?eaaea aei neioaco eieaeueii-iioeiaeueieo
eii?aeeiiaaieo aaeaioeaieo aeai?eoi?a oi?aae?iiy, yeei i?enay/aii
/aoaa?oee ?icae?e aeena?oaoe??.

Ine?eueee nenoaia ea?oaaiiy a i?ioean? naiai ooieoe?iioaaiiy c
iaoaiaoe/ii? oi/ee ci?o iiaeiia iaeii/anii ae??ooaaoe caaea/?
i?i?i?caoe?? e?eoa???a oi?aae?iiy wmetafile8? ???????????????
???????????yyy????.????1?????? ???????  
???&??yyyy?????Ayyy!yyya??A?? ???&?
?MathType??0????u?y??????O oae?e nenoai? ea?oaaiiy ?aae?co?oueny
i?eioeei iiaeaeueii? eii?aeeiaoe??, i?e oeueiio ?aaoeyoi? ?
?aeaioeo?eaoi? ooieoe?iiothoue iaeii/anii, iai?ithth/enue ?ioi?iaoe??th
/a?ac eii?aeeioth/ee aeie. Ine?eueee aeiee ?aae?ciaaii ia ?aeeiiio
ia/enethaa/?, an? caaea/? ae??oothoueny o i?enei?aiiio ianooaa? /ano, a
??oaiiy ?aae?cothoueny a nenoai? o ?aaeueiiio /an?. Ia?aeaeueia
ae??oaiiy caaea/ i?aeaeuo? oaeaeeiae?th nenoaie ea?oaaiiy oa ??
iaae?ei?noue, iacia/ii oneeaaeithth/e noaio oa i?ia?aiio ?aae?caoe?th.

Ia iaethieo iaaaaeaii noaio cai?iiiiiaaii? nenoaie, aea ea?oaaiiy oa
iano?ithaaiiy ea?oaaiue ? ioe?iie cae?eniththoueny o ?aeeiiio
ia/enethaa/?.

Iae. 2. Noaia eii?aeeiiaaii? aaeaioeaiie nenoaie ea?oaaiiy aeeiai?/iei
noioanoe/iei ia’?eoii

O i’yoiio ?icae?e? ?icaeyiooi aaeaioeai? aeai?eoie ?aeaioeo?eaoe??, ui ?
iiaeeo?eaoe??th ?aeo?aioiiai iaoiaeo iaeiaiueoeo eaaae?ao?a (?IIE), aeey
ia?aiao?e/ii iioei?co?ieo ?aaoeyoi??a. Oey iiaeeo?eaoe?y aeai?eoi?a ?IIE
iia’ycaia ia?o ca ana c iaiao?aei?noth ioe?ithaaiiy ianoaoe?iia?ieo
ia?aiao??a ia’?eo?a, ine?eueee naia o oeueiio aeiaaeeo aeei?enoaiiy
cai?iiiiiaaieo ?aaoeyoi??a ? iaea?eueo aeioe?eueiei.

Iaea?eueo oe?iei aeei?enoo?iee ia oeae /an aeai?eoi ?IIE c
aeniiiaioe?eiei caaaeoaaiiyi ?ioi?iaoe?? ii?iaeaeo?oueny i?i?i?caoe??th
e?eoa??y (30) ? ia? aeaeyae

wmetafile8? ??a???????????
???????????yyy????.????1?????? ??????? ?
 ???&??yyyy?????AyyyYyyy`??% ?? ???&?
?MathType??0???u*thE?????A ?iaio? ia iniia? aiae?ca ca?aeiino?
oeueiai aeai?eoio cai?iiiiiaaii aeaye? niiniae aeai?o ia?aiao?a
wmetafile8? ???????????????
???????????yyy????.????1?????? ???????
@`???&??yyyy?????Ayyy-??? ??m?? ???&?
?MathType??0????u th?????? wmetafile8? ??d???????????
???????????yyy????.????1?????? ??????? ?
???&??yyyy?????Ayyyyyya ???? ???&?
?MathType??P????u*thE?????Iaea?aeaii aiae?oe/i? ioe?iee oi/iino? oa
oaeaeeino? ca?aeiino? oaeiai aeai?eoia oa iienaii ocaaaeueiaiee
?aeo?aioiee aeai?eoi ?aeaio?o?eaoe??, ui ii?aeio? iiaeeeaino? (40) oa
(41).

?icaeyioo? aeua aeai?eoie ?IIE a caaaeueiiio aeiaaeeo ia a?aoiaothoue
ei?aeueiaai?noue caoaeaeaiue wmetafile8? ??A????????????
???????????yyy????.????1?????? ???????
aA???&??yyyy?????AyyyIyyy????? ???&?
?MathType??P????u th?????? wmetafile8? ??µ???????????
???????????yyy????.????1?????? ??????? ?
????&??yyyy?????Ayyy©yyyA ??©?? ???&?
?MathType?????u*thE?????(ooo wmetafile8? ??y???????????
???????????yyy????.????1?????? ??????? @@
???&??yyyy?????Ayyyyyy? ??i?? ???&?
?MathType??p????u*thE?????Iieacaii, ui o aeiaaeeo noaoe?iia?ieo
ei?aeueiaaieo caaaae iao?eoey wmetafile8? ??i????????????
???????????yyy????.????1?????? ???????
? ???&??yyyy?????Ayyyyyy`???? ???&?
?MathType??P????u)thE?????sseui eiaa??aoe?eia iao?eoey caaaae ia
a?aeiia, oi ?? iiaeia yeei-iaaoaeue oeyoii ioe?ieoe, a io?eiai? ioe?iee
aeei?enoaoe a aeai?eoi? ?aeaioeo?eaoe??. A ?iaio? aea/aii ieoaiiy aieeao
iaoi/iino? caaaeaiiy eiaa??aoe?eii? iao?eoe? ia aeanoeaino? ioe?iie
ia?aiao??a ia’?eoa. Iieacaii, ui a?aei?ii?noue aeaiaio?a aeei?enoiao?ii?
a aeai?eoi? eiaa??aoe?eii? iao?eoe? a?ae aeaiaio?a ni?aaaeiuei? ia
wmetafile8? ???????????????
???????????yyy????.????1?????? ???????
?`???&??yyyy?????AyyyIyyy ??M?? ???&? ?MathType??
????u th??????Ia caaa?oaiiy ?icae?eo ?icaeyiooi aieea ei?aeyoe??
caaaae ia oa?aeoa? ?aeo?aioiino? aeai?eoi?a. Aiae?c io?eiaieo
?aeo?aioieo aeai?eoi?a na?ae/eoue i?i oa, ui ia/eneaiiy IIE-ioe?iie
cia/ii oneeaaeith?oueny ?c-ca iaiao?aeiino? ia o?eueee iaoe ?ioi?iaoe?th
i?i ioe?iee ia iiia?aaeiueiio oaeo? aea e caa??aaoe iiia?aaei?
niinoa?aaeaiiy wmetafile8? ??A????????????
???????????yyy????.????1?????? ???????
a ???&??yyyy?????AyyyIyyy`???? ???&?
?MathType??P????u th??????O oinoiio ?icae?e? ia iniia? io?eiaieo
oai?aoe/ieo ?acoeueoao?a i?iaaaeaii aenia?eiaioaeuei? aeine?aeaeaiiy
neioaciaaieo aeai?eoi?a. Aeey oeueiai aoei ?ic?iaeaii iiaeaethth/o
i?ia?aiio, ui iiaoaeiaaia ca iiaeoeueiei i?eioeeiii ? iaienaii ia
aeai?eoi?/i?e iia? Borland C++ 2.0 aeeyIAII c i?ioeani?ii “Intel”.
Aieiai? iiaeoe? i?ia?aiie “Ia’?eo”, “?aeaioeo?eaoi?”, “?aaoeyoi?”,
“Eii?aeeiaoe?y”, “Iiaeaethaaiiy”, “A?ao?ee”, “Aeo?ae” aeicaieythoue
iaa?aoe aoaeue yeo c cai?iiiiiaaieo noai ea?oaaiiy oa aeai?eoi?a ??
iano?ithaaiiy ? i?iaanoe iiaeaethaaiiy ia aeia?eueii ia?aiiio /aniaiio
?ioa?aae?. A aeena?oaoe?? iaaaaeaii iienaiiy no?oeoo?e i?ia?aie,
?ioa?oaena ei?enooaa/a, ina?oeai? iniiai? i?eioeeie iiaeaethaaiiy.

?acoeueoaoe iiaeaethaaiiy i?aeoaa?aeeee i?aoeacaeaoi?noue oa
aoaeoeai?noue neioaciaaieo aeai?eoi?a ia?aiao?e/ii? iioei?caoe??
oeeo?iaeo nenoai ea?oaaiiy.

O aeniiaeao noenei noi?ioeueiaaii iniiai? iaoeia? oa i?aeoe/i?
?acoeueoaoe aeena?oaoe?eii? ?iaioe.

INIIAI? ?ACOEUeOAOE OA AENIIAEE

1. Ina?oeaii caaaeuei? i?eioeeie oa iaoiaeieia?y i?iaeooaaiiy nenoai
ea?oaaiiy ia’?eoaie ??cieo eean?a ca oiia iaaecia/aiino?. ?icaeyiooi
iniiai? i?aeoiaee aei neioaco ia?aiao?e/ii iioei?co?ieo nenoai
ea?oaaiiy, iieacaii, ui aeei?enoaiiy i?eioeei?a aaeaioaoe?? aeicaiey?
caaacia/eoe a?eueo aenieo ye?noue ea?oaaiiy. I?iaaaeaii iinoaiiaeo
caaea/? aeine?aeaeaiiy.

2. I?iaaaeaii neioac aaeaioeaieo i?ioeaaeo? iano?ithaaiiy ia?aiao?e/ii
iioei?co?ieo nenoai ea?oaaiiy. Aaaaeaii iaeiie?ieia? oa aaaaoie?ieia?
i?ioeaaeo?e, anoaiiaeaii ?o aiaeia?th c ?aeo?aioieie aeai?eoiaie
?aeaioeo?eaoe?? ? iieacaii, ui aaaaeai? caaea/? ea?oaaiiy oa
?aeaioeo?eaoe?? iathoue iaeiioeii? ia/enethaaeuei? noaie, ui aeicaiey?
nooo?ai ni?inoeoe ?aae?caoe?th nenoaie ea?oaaiiy. A iniiao i?ioeaaeo?
iano?ithaaiiy iieeaaeaii i?ioeaaeo?e oeia Aaona-I’thoiia, ui aeineoue
i?inoi i?aeaeathoueny aiae?oe/iiio aeine?aeaeaiith.

3. I?iaaaeaii aiae?c aaaaeaieo aeai?eoi?a iano?ithaaiiy ia?aiao??a
nenoai ea?oaaiiy aeey aeiaaeea ia’?eo?a oeio aaoi?aa?an?? – eiaciiai
na?aaeiueiai c aeciaaiieie ea?oth/eie aoiaeaie oa iieacaii, ui ? aeey
oeueiai eeano ia’?eo?a i?aeo?ae, ui i?iiiio?oueny, aeicaiey? caaacia/eoe
aeineoue aenieo ye?noue ea?oaaiiy.

4. I?iaaaeaii neioac aaeaioeaieo aeai?eoi?a ea?oaaiiy oa ?aeaioeo?eaoe??
c aeei?enoaiiyi i?eioeei?a eii?aeeiaoe??. Ia iniia? iaoiae?a oai???
aeine?aeaeaiiy iia?aoe?e aaaaeaii e?eoa???, ui ? cai?oeith aeaio
iiia?aaei?o. Iieacaii, ui caaea/? ea?oaaiiy oa ?aeaioeo?eaoe?? iiaeooue
ae??ooaaoeny iaeii/anii ia iaeiiio ia/enethaa/?, ui i?aeaeuo?
oaeaeeiae?th nenoaie a oe?eiio.

5. Aaaaeaii ?aeo?aioi? aaeaioeai? aaaaoie?ieia? aeai?eoie ia?aiao?e/ii?
?aeaioeo?eaoe??, ui aeicaieythoue i?iaiaeeoe ioe?ithaaiiy ca oiia
ae?aeoo ia?aiao??a ? ei?aeueiaaieo caaaae, ui ae?thoue ia ia’?eo.
Iieacaii ia?aaaae cai?iiiiiaaieo i?ioeaaeo? ia?aae o?aaeeoe?eieie oeio
iaeiie?ieiaiai iioeiaeueiiai aeai?eoio oa ?aeo?aioiiai iaoiaeo
iaeiaiueoeo eaaae?ao?a.

6. Ca ?acoeueoaoaie oai?aoe/ieo aeine?aeaeaiue ?ic?iaeaii eiiieaen
i?ia?ai iiaeaethaaiiy, ui ?aae?cothoue cai?iiiiiaai? aeai?eoie.
I?iaaaeaii na??th ?i?oaoe?eieo aenia?eiaio?a, ui i?aeoaa?aeeee
i?aoeacaeaoi?noue aaaaeaieo i?ioeaaeo?. Aeaii ii??aiyeueio
oa?aeoa?enoeeo ?ic?iaeaieo aeai?eoi?a c a?aeiieie oa ?ic?iaeaii
?aeiiaiaeaoe?? ii ?o i?aeoe/iiio aeei?enoaiith.

IOAE?EAOe?? CA OAIITH AeENA?OAOe??

1. Ooaoai A., Othaaioaeue O. Ia iaeiii aeai?eoia eieaeueii-iioeiaeueiiai
eii?aeeie?iaaiiiai oi?aaeaiey //ANO e i?eai?u aaoiiaoeee. –Oa?ueeia,
1997.-Aui.106-N.57-61.

2. Ieenn E.I., Iieyineay AE.I., Caii?iaeaoe I.A., Othaaioaeue O. Ia
iaeiii aeai?eoia oi?aaeaiey aeeiaie/aneei noioanoe/aneei iauaeoii i?e
ia?aie/aiee ia oi?aaeythuea aicaeaenoaey // ANO e i?eai?u aaoiiaoeee.
–Oa?ueeia, 1997.-Aui.106-N.3-6.

3. Bodyanskiy Ye., Huebenthal F., Kotlyarevskiy S., Polyanska J.
Adaptive control algorithm for dynamic object based on multilevel
approach //42.Internationales Wissenschaftliches Kolloquium.
Vortragsreichen, Band3.-TU Ilmenau, 1997-S.17-20.

4. Terziyan V., Maryin S., Stephan A., Huebenthal F. Multilevel
metarules model with flexible level management // 42. Internationales
Wissenschaftliches Kolloquium. Vortragsreichen, Band2.-TU Ilmenau,
1997-S.21-23.

5. Huebenthal F., Maryin S., Vyazelenko S. Model of multilevel metarules
over semantic network in medicine // O?oaeu Iaaeaeoia?iaeiie
iao/ii-oaoi. eiio.”Int. Meeting on Information
Technology”(MicroCAD’97).-Oa?ueeia: OAIO, 1997.- N.363-366.

6. Stephan A., Huebenthal F. Research of a priori information
representation errors influence on the estimation accuracy // Oac.
aeiee. 3-e Iaaeaeoia?. eiio. “Oai?ey e oaoieea ia?aaea/e, i?eaia e
ia?aaioee eioi?iaoeee”.-Oa?ueeia-Ooaina, 1997.-N.149.

7. Ooaoai A., Othaaioaeue O. Ia iaeiii aeai?eoia iiiaio?iaiaaiai
oi?aaeaiey a /aeiaaei-iaoeiiuo nenoaiao // Na. o?oaeia Iaaeaeoia?. iao/.
eiio. “Y?aiiiieea ia aaoiiiaeeueiii o?ainii?oa”, iiya?ue 18-20,
1997.-Oa?ueeia,Oe?aeia.-N.33-35.

8. Ooaoai A., Othaaioaeue O. Ioeaiea aeeyiey iia?aoiinoae a caaeaiee
ia?aiao?ia iiiao ia oi/iinoue eaeaioeoeeaoeee // I?iaeaiu
aeiieee.-Oa?ueeia, 1998.-Aui.48.-N.75-79.

9. ?oaeaiei I.A., Ooaoai A., Othaaioaeue O. ?aeo?aioiue aeai?eoi IIE ni
neieuecyuei ieiii i?e ei??aee?iaaiiuo iiiaoao // ?aaeeiyeaeo?iieea e
eioi?iaoeea.-1998.-?1(02).-N.24-27.

AIIOAOe?ss

Othaaioaeue O. Neioac aeai?eoi?a ia?aiao?e/ii? iioei?caoe?? oeeo?iaeo
nenoai ea?oaaiiy.-?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.13.03-Nenoaie oa i?ioeane ea?oaaiiy, Oa?niinueeee
aea?aeaaiee oaoi?/iee oi?aa?n?oao, Oa?nii, 1999.

A aeena?oaoe?ei?e ?iaio? ae??oaii caaea/o neioaca aaeaioeaieo aeai?eoi?a
ia?aiao?e/ii? iioei?caoe?? caeii?a ea?oaaiiy aeey noioanoe/ieo
ianoaoe?iia?ieo ia’?eo?a ca oiia ai??i?ii? iaaecia/aiino? i?i ia?aiao?e
oa caaaaee.

?ic?iaeaii eiiieaen aaeaioeaieo ?aeo?aioieo aeai?eoi?a iano?ithaaiiy
ia?aiao?e/ii iioei?co?ieo ?aaoeyoi??a o?eniaaii? no?oeoo?e, aaeaioeaieo
?aeo?aioieo aeai?eoi?a ia?aiao?e/ii? ?aeaioeo?eaoe??, i?ecia/aieo aeey
?iaioe a oiiaao ei?aeueiaaieo caaaae, aaeaioeaieo eii?aeeiiaaieo
aeai?eoi?a ea?oaaiiy oa ?aeaioeo?eaoe?? ianoaoe?iia?ieo noioanoe/ieo
ia’?eo?a.

I?ia?aiia ?aae?caoe?y ?ic?iaeaieo aeai?eoi?a oa i?iaaaeaiee iaoeiiee
aenia?eiaio aeiaaee ?o i?aoeacaeaoi?noue oa aoaeoeai?noue. Cai?iiiiiaai?
aeai?eoie aeicaieythoue oni?oii ae??ooaaoe oe?ieee eean caaea/
ea?oaaiiy a oiiaao ai??i?ii? ? iioi/ii? iaaecia/aiino? ? i?e oeueiio
?iaa??aioi? aei eiie?aoiiai oeio ia’?eoa ea?oaaiiy.

Eeth/ia? neiaa: oeeo?iaa nenoaia ea?oaaiiy, ia?aiao?e/ia iioei?caoe?y,
aaeaioeaia ?aeaioeo?eaoe?y, ei?aeueiaai? caaaaee, iaaecia/ai?noue.

AIIOAOeEss

Othaaioaeue O. Neioac aeai?eoiia ia?aiao?e/aneie iioeiecaoeee oeeo?iauo
nenoai oi?aaeaiey.-?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.13.03 – Nenoaiu e i?ioeannu oi?aaeaiey, Oa?niineee
ainoaea?noaaiiue oaoie/aneee oieaa?neoao, Oa?nii, 1999.

A aeenna?oaoeeiiiie ?aaioa ?aoaia caaea/a neioaca aaeaioeaiuo aeai?eoiia
ia?aiao?e/aneie iioeiecaoeee caeiiia oi?aaeaiey aeey noioanoe/aneeo
ianoaoeeiia?iuo iauaeoia, iienuaaaiuo ?aciinoiuie ARMAX – o?aaiaieyie, a
oneiaeyo iaii?aaeaeaiiinoe i ia?aiao?ao e aiciouaieyo.

N eniieueciaaieai e?eoa?ey ieieiaeueiie aeenia?nee ?ac?aaioaiu
?aeo??aioiua aaeaioeaiua aeai?eoiu iano?ieee ia?aiao?e/anee
iioeiece?oaiuo nenoai oi?aaeaiey noioanoe/aneeie aeeiaie/aneeie
iauaeoaie, yaeythueany n au/eneeoaeueiie oi/ee c?aiey aiaeiaaie
iaeiioaaiaiai iioeiaeueiiai aeai?eoia eaeaioeoeeaoeee e ?aeo??aioiiai
iaoiaea iaeiaiueoeo eaaae?aoia. Aeaiiay aiaeiaey iicaieyao
iineaaeiaaoaeueii ?aoaoue caaea/e eaeaioeoeeaoeee e oi?aaeaiey ia iniiaa
iaeiiai au/eneeoaeueiiai ono?ienoaa. Aeey neo/ay e?eoa?ey oeia
iaiauaiiie ieieiaeueiie aeenia?nee i?aaeeiaeai aeai?eoi, iicaieythuee
iano?aeaaoue ia oieueei ia?aiao?u ?aaoeyoi?a, ii e aaniaua eiyooeoeeaiou
e?eoa?ey. A iniiao neioaca i?eiyo iiaeoiae iiiaie?eoa?eaeueiie
iioeiecaoeee, eiaaea iioeiece?oaony iaeei e?eoa?ee, a inoaeueiua
?anniao?eaathony eae ia?aaainoaa.

?ac?aaioaiu iiiaioaaiaua i?iaeoeeiiiua ?aeo??aioiua aaeaioeaiua
aeai?eoiu eaeaioeoeeaoeee, iicaieythuea ioneaaeeaaoue iaaeeaiiue ae?aeo
ia?aiao?ia iauaeoa e iaania/eaathuea aunieia ea/anoai ioeaieaaiey a
oneiaeyo ei??aee?iaaiiuo aiciouaiee, /oi iniaaiii aaaeii aeey
ARMAX-iauaeoia. I?iaaaeaii n?aaiaiea n ecaanoiuie aeai?eoiaie
eaeaioeoeeaoeee e iieacaiu i?aeiouanoaa i?aaeeaaaaiuo. Iieo/aiu ioeaiee
iia?aoiinoae ioeaieaaiey.

?ac?aaioaiu aaeaioeaiua ?aeo??aioiua aeai?eoiu eii?aeeie?iaaiiiai
oi?aaeaiey e eaeaioeoeeaoeee, iicaieythuea ?aoaoue aeaiiua caaea/e
ia?aeeaeueii ia iaeiii au/eneeoaea, ?aaioathuai a onei?aiiii ianooaaa
a?aiaie. A iniiao neioaca iieiaeaiu i?eioeeiu eii?aeeiaoeee
Iana?iae/a-Iaei-Oaeaoa?u e iaoiaeu naa?oee e?eoa?eaa, i?eiyoua a oai?ee
enneaaeiaaiey iia?aoeee.

I?ia?aiiiay ?aaeecaoeey ?ac?aaioaiiuo aeai?eoiia e i?iaaaeaiiue iaoeiiue
yenia?eiaio iiaeoaa?aeeee eo ?aaioiniiniaiinoue e yooaeoeaiinoue.
I?aaeeiaeaiiua aeai?eoiu iicaieytho oniaoii ?aoaoue oe?ieee eeann caaea/
oi?aaeaiey a oneiaeyo ai?ei?iie oaeouae iaii?aaeaeaiiinoe e i?e yoii
eiaa?eaioiu e eiie?aoiiio oeio iauaeoa oi?aaeaiey.

Eeth/aaua neiaa: oeeo?iaay nenoaia oi?aaeaiey, ia?aiao?e/aneay
iioeiecaoeey, aaeaioeaiay eaeaioeoeeaoeey, ei??aee?iaaiiua iiiaoe,
iaii?aaeaeaiiinoue.

ABSTRACT

Huebenthal F. Parameter optimization algorithms synthesis for digital
control systems.-Manuscript.

Thesis for a candidate’s degree by speciality 05.13.03 – Control systems
and processes.- Kherson State Technical University, Kherson, 1999.

In the dissertation a problem of adaptive control algorithms parameter
optimization for stochastic nonstationary processes is considered. The
process and disturbance parameters are assumed to be unknown.

The complex of adaptive recursive procedures for parameter tuning of
control algorithms with fixed structure, adaptive identification
algorithms for processes with correlated disturbances and adaptive
coordinated control and identification algorithm for stochastic
nonstationary processes were developed.

Simulation results confirmed efficiency of the developed algorithms. The
proposed procedures are invariant to the controlled process type and
allow to solve successfully different control problems in the presence
of uncerntainties.

Key words: digital control system, parameter optimization, adaptive
identification, correlated disturbances, uncertainty.

A?aeiia?aeaeueiee ca aeione A.A. Aacei?iaaeiee

I?aeienaii aei ae?oeo 07.10.99 ?.

Oi. ae?. a?e. 1.00 Oi?iao 60o84 1/16

Oe?aae 100 i?. Iai?? ionaoiee

Cai. .? 820 Ae?oe ??cia?ao?/iee

Iaae?oeiaaii a AO “A?cian ?ioi?i”.

Oa?e?a, aoe. Ia?oaea Aaaeaiiaa 28, e.319.

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