Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations

Autor:	Gafurjan Ibragimov, Ruzakhon Kazimirova, Bruno Antonio Pansera
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	infinite system of differential equations differential game strategy control geometric constraint Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 23, p 4448 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10234448
Popis:	We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems of two-block differential equations in the Hilbert space l2. Geometric constraints are imposed on the players’ control functions. If the state of a controlled system falls into the origin of the space l2 at some finite time, then pursuit is said to be completed in a differential game. The aim of the pursuers is to transfer the state of at least one of the systems into the origin of the space l2, while the purpose of the evader is to prevent it. A sufficient evasion condition is obtained from any of the players’ initial states and an evasion strategy is constructed for the evader.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0402fe33e0ea4c81af1356df4eed667e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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