Minimax Theory and its Applications 05 (2020), No. 2, 401--411
Copyright Heldermann Verlag 2020
Group Pursuit in Recurrent Differential Games in the Class of Positional Strategies with Guide
Nikolay N. Petrov
Udmurt State University, Izhevsk, Russia
kma3@list.ru
Nadezhda A. Solov'eva
Udmurt State University, Izhevsk, Russia
solov_na@mail.ru
The article deals with the linear pursuit problem with $n$ pursuers and one evader with the same dynamic and inertial abilities of the players. Sufficient conditions both in the class of quasi-strategies, and in the class of positional strategies with a guide are obtained.
Keywords: Differential game, pursuer, evader, recurrent function, guide system.
MSC: 49N70, 49N75.
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