On the absolute stability  of automatic control systems in the vicinity of a program manifold

Sailaubay  Zhumatov; Meiramgul Talipova; Zagira  Kobeyeva

doi:10.70474/d6kew891

Авторлар

Сайлаубай Сағымбайұлы Жұматов Математика және математикалық модельдеу институты Author https://orcid.org/0000-0001-7397-8999
Мейрамгуль Жубаткановна Талипова Қ. Жұбанов атындағы Ақтөбе өңірлік университеті Author https://orcid.org/0000-0001-9728-8378
Загира Сапарбековна Кобеева Шымкент университеті Author

DOI:

https://doi.org/10.70474/d6kew891

Кілт сөздер:

Бағдарламаның көпбейне, абсолют орнықтылық, стационар емес сызықсыздық, автоматы басқару жүйелері, Ляпунов функциялары, локалды квадраттық байланыс

Аңдатпа

Берiлген бағдарламалық көпбейне бойынша автоматты басқару жүйелерiн құру есебi қарастырылады. Алдымен, берiлген көпбейненiң орнықтылығын қамтамасыз ететiн, белгiлi бiр теңдеудi таңдауға әкелетiн, жәй дифференциалдық теңдеулер құрудың жалпы әдiсi берiледi. Сонан соң автоматты басқару жүйелерiнiң абсолют орнықтылығы берiлген көпбейне маңайында зерттеледi. Сызықсыздықтар локалды квадраттық байланыс шарттарын қанағаттандырады және олар барлық айнымалылары бойынша дифференциалданады. Берiлген вектор-функцияға қатысты бағдарламалық көпбейненiң абсолют орнықтылығының жеткiлiктi шарттары «квадраттық форма қосу сызықсыздықтан алынған интеграл» түрiндегi Ляпунов функциясын тұрғызу арқылы алынды. Басқару жүйесiнiң бағдарламалық көпбейненiң абсолют орнықтылығының жиiлiк шарттары тағайындалды. Және де стационар емес сызықсыздықтары бар автоматты басқару жүйелерiнiң абсолют орнықтылығының жеткiлiктi шарттары алынды.

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