Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in I#8467;/I[sup.2]

We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ[sup.2]. The control functions of the players are subject to geometric constraints. The pursuers’ goal is to bring the state of at least one of the controlled system...

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Bibliographic Details
Published inGames Vol. 14; no. 4
Main Authors Ibragimov, Gafurjan, Ruziboev, Marks, Zaynabiddinov, Ibroximjon, Pansera, Bruno Antonio
Format Journal Article
LanguageEnglish
Published MDPI AG 01.06.2023
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ISSN2073-4336
2073-4336
DOI10.3390/g14040052

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Summary:We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ[sup.2]. The control functions of the players are subject to geometric constraints. The pursuers’ goal is to bring the state of at least one of the controlled systems to the origin of ℓ[sup.2], while the evader’s goal is to prevent this from happening in a finite interval of time. We derive a sufficient condition for evasion from any initial state and construct an evasion strategy for the evader.
ISSN:2073-4336
2073-4336
DOI:10.3390/g14040052