We construct an evasion strategy in a general evasion differential game, played on the Euclidean space, with one evader and any finite number of pursuers where the dynamics of the objects are given by a system of linear differential equations. Our construction of the evasion strategy is based on the ai − τi method. We show that if the evader can successfully implement this strategy, then it can win the game against all possible strategy choices of the pursuers.

On the Existence of an Evasion Strategy in a Linear Differential Game with Integral Constraints / Pansera, Bruno Antonio; Ibragimov, Gafurjan; Luckraz, Shravan. - In: DYNAMIC GAMES AND APPLICATIONS. - ISSN 2153-0785. - (2025). [10.1007/s13235-024-00613-3]

On the Existence of an Evasion Strategy in a Linear Differential Game with Integral Constraints

Pansera, Bruno Antonio;
2025-01-01

Abstract

We construct an evasion strategy in a general evasion differential game, played on the Euclidean space, with one evader and any finite number of pursuers where the dynamics of the objects are given by a system of linear differential equations. Our construction of the evasion strategy is based on the ai − τi method. We show that if the evader can successfully implement this strategy, then it can win the game against all possible strategy choices of the pursuers.
2025
Differential game theory · Pursuit-evasion · Linear differential equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/154666
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