Application of the averaging method to the problems of optimal control of the impulse systems

Autor:	T.V. Koval'chuk, V.V. Mogylova, O.M. Stanzhytskyi, T.V. Shovkoplyas
Jazyk:	English<br />Ukrainian
Rok vydání:	2020
Předmět:	optimal control problem optimal control exact problem averaged problem valid control averaging condition weak convergence compactness semi-continuity quality criterion minimizing sequence Mathematics QA1-939
Zdroj:	Karpatsʹkì Matematičnì Publìkacìï, Vol 12, Iss 2, Pp 504-521 (2020)
Druh dokumentu:	article
ISSN:	2075-9827 2313-0210
DOI:	10.15330/cmp.12.2.504-521
Popis:	The problem of optimal control at finite time interval for a system of differential equations with impulse action at fixed moments of time as well as the corresponding averaged system of ordinary differential equations are considered. It is proved the existence of optimal control of exact and averaged problems. Also, it is established that optimal control of averaged problem realize the approximate optimal synthesis of exact problem. The main result of the article is a theorem, where it is proved that optimal contol of an averaged problem is almost optimal for exact problem. Substantiation of proximity of solutions of exact and averaged problems is obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fe69ec03e9e44ed999441583d1d14bc8 Zobrazit plný text záznamu View record in DOAJ