On a fixed duration pursuit differential game with geometric and\n integral constraints

2014/10/08 by Mehdi Salimi, Gafurjan Ibragimov, Salimi, Mehdi +5
Engineering · Mathematics · Physics and Astronomy · #91A23 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1410.2297

openalex publication_date 2014/10/08 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate a differential game in which countably many\ndynamical objects pursue a single one. All the players perform simple motions.\nThe duration of the game is fixed. The controls of a group of pursuers are\nsubject to geometric constraints and the controls of the other pursuers and the\nevader are subject to integral constraints. The payoff of the game is the\ndistance between the evader and the closest pursuer when the game is\nterminated. We construct optimal strategies for players and find the value of\nthe game.\n

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