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Optimal Control of Dynamical Systems with Polynomial Impulses

Авторы: Goncharova E.V., Staritsyn M.V.

Журнал: Discrete and Continuous Dynamical Systems

Том: 35

Номер: 9

Год: 2015

Отчётный год: 2015


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Аннотация: The paper is devoted to the BV-relaxation of a dynamical system, whose right-hand side is a pth degree polynomial with rational powers of control under a uniform bound on its L-p-norm, and coefficients containing usual measurable bounded control. Under natural convexity assumptions, we give an explicit representation of generalized solutions to the control system by a measure differential equation. The main results concern an optimal impulsive control problem for the relaxed system: We establish the existence of a minimizer, and give necessary optimality conditions in the form of a Maximum Principle.

Индексируется WOS: 1

Индексируется Scopus: 1

Индексируется РИНЦ: 1

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