Страница публикации
Optimization of impulsive control systems with intermediate state constraints
Авторы: Maltugueva N., Pogodaev N., Samsonyuk O.
Журнал: The Bulletin of Irkutsk State University. Series: Mathematics
Том: 35
Номер:
Год: 2021
Отчётный год: 2021
Издательство:
Местоположение издательства:
URL:
Аннотация: In this paper, we consider an optimal impulsive control problem with intermediate state constraints. The peculiarity of the problem consists in a non-standard way of specifying of intermediate constraints. So the constraints must be satisfied for at least one selection of a set-valued solution to the impulsive control system. We prove a theorem for the existence of an optimal control and propose the reduction procedure that transforms the initial optimal control problem with intermediate constraints into a hybrid problem with control parameters. This hybrid problem gives an equivalent description of the optimal impulsive control problem. We discuss a numerical algorithm based on a direct collocation method and give a schema to the corresponding numerical calculations for a test example.
Индексируется WOS: 1
Индексируется Scopus: 1
Индексируется РИНЦ: 1
Публикация в печати: 0
Добавил в систему: