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

Bruno Antonio Pansera; Gafurjan Ibragimov; Shravan Luckraz

doi:10.1007/s13235-024-00613-3

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

Bruno Antonio Pansera, Gafurjan Ibragimov, Shravan Luckraz

Research output: Journal Publication › Article › peer-review

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.

Original language	English
Article number	114992
Number of pages	16
Journal	Dynamic Games and Applications
DOIs	https://doi.org/10.1007/s13235-024-00613-3
Publication status	Published - 4 Jan 2025

Keywords

Differential game theory
Linear differential equations
Pursuit-evasion

ASJC Scopus subject areas

Statistics and Probability
Economics and Econometrics
Computer Science Applications
Computer Graphics and Computer-Aided Design
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1007/s13235-024-00613-3

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PY - 2025/1/4

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N2 - 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.

AB - 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.

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KW - Linear differential equations

KW - Pursuit-evasion

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

Abstract

Keywords

ASJC Scopus subject areas

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