Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space l2

Autor:	Gafurjan Ibragimov, Xolmurodjon Qushaqov, Akbarjon Muxammadjonov, Bruno Antonio Pansera
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	differential game pursuit control strategy infinite system of differential equations geometric constraint Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 12, p 2662 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11122662
Popis:	The present paper is devoted to studying a pursuit differential game described by an infinite system of binary differential equations in Hilbert space l2. The control parameters of the players are subject to geometric constraints. The pursuer tries to bring the state of the system to the origin of the Hilbert space l2, and oppositely, the evader tries to avoid it. Our aim is to construct a strategy for the pursuer to complete a differential game and an evasion control. We obtain an equation for the guaranteed pursuit and evasion times.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/18102c783dde44129ed2e0858d7935fe Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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