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...
Gespeichert in:
Veröffentlicht in: | Mathematics (Basel) 2023-06, Vol.11 (12) |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
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 |