Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations
Ruzakhon KazimirovaDepartment of Mathematics, Andijan State University, Andijan 170100, UzbekistanGafurjan IbragimovV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 100174, UzbekistanBruno Antonio PanseraDepartment of Law, Economics and Human Sciences & Decisions_Lab, University Mediterranea of Reggio Calabria, I-89124 Reggio Calabria, ItalyAbdulla IbragimovThe Banking and Finance Academy of the Republic of Uzbekistan, Tashkent 100000, Uzbekistan;
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In the Hilbert space l2, a differential evasion game involving multiple pursuers is considered. Integral constraints are imposed on player control functions. The pursuers are tasked with bringing the state of a system back to the origin of l2, while the evader simultaneously tries to avoid it. It is assumed that the energy of the evader is greater than the total energy of the pursuers. In this paper, we contribute to the solution of the differential evasion game with multiple pursuers by building an exact strategy for the evader.
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