Samatov, B.; Ibragimov, G.; Juraev, B.; Ferrara, M. On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints. Mathematics2023, 11, 4209.
Samatov, B.; Ibragimov, G.; Juraev, B.; Ferrara, M. On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints. Mathematics 2023, 11, 4209.
Samatov, B.; Ibragimov, G.; Juraev, B.; Ferrara, M. On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints. Mathematics2023, 11, 4209.
Samatov, B.; Ibragimov, G.; Juraev, B.; Ferrara, M. On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints. Mathematics 2023, 11, 4209.
Abstract
In this paper, we consider a pursuit-evasion game of inertial players, where pursuer’s control is subject to integral constraint, and 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. Also, 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. As one of the important results of our paper, the Isaacs Life-line game is solved for a special case.
Keywords
Differential games; integral constraint; geometric constraint; pursuers; evaders; strategy; life-line games
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
