Game value for a pursuit-evasion differential game problem in a Hilbert space
نویسندگان
چکیده
منابع مشابه
Optimal pursuit time for a differential game in the Hilbert space l2
ABSTRACT: We consider a two-person zero-sum pursuit-evasion differential game in the Hilbert space l2. The control functions of the players are subject to integral constraints. It is assumed that the control resource of the pursuer is greater than that of the evader. The pursuer tries to force the state of the system towards the origin of the space l2, and the evader tries to avoid this. We giv...
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We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize i...
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ژورنال
عنوان ژورنال: Journal of Dynamics & Games
سال: 2021
ISSN: 2164-6074
DOI: 10.3934/jdg.2021019