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Dynamic Programming and Control Synthesis for Variational Problems with Polynomial Impulses

Авторы: Goncharova E., Staritsyn M.

Журнал: IFAC-PapersOnLine

Том: 51

Номер: 32

Год: 2018

Отчётный год: 2018


Местоположение издательства:


Аннотация: The paper suggests a framework of control synthesis (feedback) for differential systems driven by nonlinear impulses. We propose a simple but relevant notion of control synthesis and a related concept of sampling solution. For extremal problems stated for input-polynomial systems, we fix two connected issues: establish the dynamic programming principle, including the characterization of the value function and verification theorem (sufficient optimality condition), and design an optimal synthesis procedure. Finally, we discuss a different, to some extent "dual" to the verification theorem, issue - a sufficient condition for non optimality, which performs an application of the control synthesis to discarding non-optimal extrema of the impulsive maximum principle. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Индексируется WOS: 1

Индексируется Scopus: 1

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