Differential game of multiple pursuers and one evader with integral constraints of special form
Gafurjan IbragimovS. InomiddinovNamangan State University, Boburshokh street, 161, Namangan, 160119, UzbekistanO. KurbonbekovaTashkent State Agrarian University, Tashkent, 100174, UzbekistanBruno Antonio PanseraDepartment of Law, Economics and Human Sciences and Decisions Lab, University Mediterranea of Reggio Calabria, ItalyA. KhodjimetovThe Banking and Finance Academy of the Republic of Uzbekistan, Movarounnahr Street 16, 100000 Tashkent, Uzbekistan
ABI
Abstract
We study pursuit and evasion differential games involving multiple pursuers and a single evader with integral constraints on the control functions of the players. By definition, pursuit is completed in the game if the state of a pursuer coincides with that of the evader, and evasion is possible in the game if the state of the evader never coincides with that of any pursuer. We obtain sufficient conditions of completion of pursuit and evasion. We construct pursuit strategies and an evasion strategy in pursuit and evasion games, respectively.
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