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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

Nadezhda A. Solov'eva
Udmurt State University, Izhevsk, Russia

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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