We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in l2. 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 l2, 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.

Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2 / Ibragimov, Gafurjan; Ruziboev, Marks; Zaynabiddinov, Ibroximjon; Pansera, Bruno Antonio. - In: GAMES. - ISSN 2073-4336. - 14:4(2023). [10.3390/g14040052]

Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in ℓ2

Pansera, Bruno Antonio
2023-01-01

Abstract

We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in l2. 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 l2, 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.
2023
differential game; control; strategy; infinite system of differential equations; geometric constraint
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/138226
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