We study a fixed duration pursuit-evasion differential game problem of one pursuer and one evader with Grönwall-type constraints (recently introduced in the work of Samatov et al. (Ural Math J 6:95–107, 2020b)) imposed on all players’ control functions. The play- ers’ dynamics are governed by a generalized dynamic equation. The payoff is the greatest lower bound of the distances between the evader and the pursuers when the game is termi- nated. The pursuers’ goal, which contradicts that of the evader, is to minimize the payoff. We obtained sufficient conditions for completion of pursuit and evasion as well. To this end, players’ attainability domain and optimal strategies are constructed

On pursuit and evasion game problems with Grönwall‐type constraints / Ferrara, Massimiliano; Rilwan, Jewaidu; Ja’afaru Badakaya, Abbas; Pansera, Bruno Antonio. - In: QUALITY & QUANTITY. - ISSN 0033-5177. - (2023), pp. 1-12. [10.1007/s11135-023-01616-9]

On pursuit and evasion game problems with Grönwall‐type constraints

Massimiliano Ferrara
Conceptualization
;
Bruno Antonio Pansera
Membro del Collaboration Group
2023-01-01

Abstract

We study a fixed duration pursuit-evasion differential game problem of one pursuer and one evader with Grönwall-type constraints (recently introduced in the work of Samatov et al. (Ural Math J 6:95–107, 2020b)) imposed on all players’ control functions. The play- ers’ dynamics are governed by a generalized dynamic equation. The payoff is the greatest lower bound of the distances between the evader and the pursuers when the game is termi- nated. The pursuers’ goal, which contradicts that of the evader, is to minimize the payoff. We obtained sufficient conditions for completion of pursuit and evasion as well. To this end, players’ attainability domain and optimal strategies are constructed
2023
Grönwall’s inequality · Pursuit · Evasion · Optimal strategy · Attainability domain
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/132866
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