Guaranteed Pursuit and Evasion Times in a Differential Game for an Infinite System in Hilbert Space Il/I[sub.2]

The present paper is devoted to studying a pursuit differential game described by an infinite system of binary differential equations in Hilbert space l[sub.2]. The control parameters of the players are subject to geometric constraints. The pursuer tries to bring the state of the system to the origi...

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Veröffentlicht in:Mathematics (Basel) 2023-06, Vol.11 (12)
Hauptverfasser: Ibragimov, Gafurjan, Qushaqov, Xolmurodjon, Muxammadjonov, Akbarjon, Pansera, Bruno Antonio
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Sprache:eng
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Zusammenfassung:The present paper is devoted to studying a pursuit differential game described by an infinite system of binary differential equations in Hilbert space l[sub.2]. 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 l[sub.2], 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11122662