МЕТОДИ ПЕРШОГО ПОРЯДКУ ДЛЯ ЗАДАЧ УЗАГАЛЬНЕНОГО ОПТИМАЛЬНОГО КЕРУВАННЯ СИСТЕМАМИ З РОЗПОДIЛЕНИМИ ПАРАМЕТРАМИ
DOI:
https://doi.org/10.17721/2706-9699.2020.2.02Ключові слова:
оптимальне керування, система з розподiленими параметрами, узагальнене керування, метод першого порядку, збiжнiстьАнотація
Розглядаються задачi оптимiзацiї лiнiйних розподiлених систем з узагальненим керуванням та методи першого порядку їх розв’язання. Основну увагу придiлено обґрунтовуванню збiжностi методiв. Припускається, що оператор, який описує модель, задовольняє апрiорнi оцiнки в негативних нормах. Для задач керування з опуклими та передопуклими допустимими множинами доведено збiжнiсть декiлькох алгоритмiв першого порядку iз похибками в iтерацiйних пiдзадачах.
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