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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


Год: 2021

Отчётный год: 2021


Местоположение издательства:


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

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