In this paper, we consider a pursuit–evasion game of inertial players, where the pursuer’s control is subject to integral constraint and the evader’s control is subject to geometric constraint. In the pursuit problem, the main tool is the strategy of parallel pursuit. Sufficient conditions are obtained for the solvability of pursuit–evasion problems. Additionally, the main lemma describing the monotonicity of an attainability domain of the evader is proved, and an explicit analytical formula for this domain is given. One of the main results of the paper is the solution of the Isaacs lifeline game for a special case

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints / Samatov, B.; Ibragimov, G.; Juraev, B.; Ferrara, M.. - In: MATHEMATICS. - ISSN 2227-7390. - 11:19(2023). [10.3390/math11194209]

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints

Ferrara M.
Supervision
2023-01-01

Abstract

In this paper, we consider a pursuit–evasion game of inertial players, where the pursuer’s control is subject to integral constraint and the evader’s control is subject to geometric constraint. In the pursuit problem, the main tool is the strategy of parallel pursuit. Sufficient conditions are obtained for the solvability of pursuit–evasion problems. Additionally, the main lemma describing the monotonicity of an attainability domain of the evader is proved, and an explicit analytical formula for this domain is given. One of the main results of the paper is the solution of the Isaacs lifeline game for a special case
2023
differential game; integral constraint; geometric constraint; pursuer; evader; strategy; guaranteed capture time; attainability domain; lifeline game
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/140986
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