On the Life-Line Game of the Inertial Players with Integral and Geometric Constraints
Bahrom SamatovDepartment of Mathematics, Namangan State University, Namangan, 116019, Uzbekistan;Gafurjan IbragimovDepartment of General and Exact Subjects, Tashkent State University of Economics, Tashkent, 100006, Uzbekistan;Bahodirjon JuraevFaculty of Physics-Mathematics, Andijan State University, Andijon, 170100, Uzbekistan;Массимилиано ФеррараDepartment of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, &
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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.
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