On the pursuit problem for linear differential games with distinct constraints on the players’ controls

Abstract

Pontryagin’s first and second (direct) methods and the so-called third pursuit method are the basic methods of the theory of differential games. We present various modifications of these methods. We analyze linear differential pursuit games for a delay equation under distinct constraints on the players’ control parameters. We give sufficient conditions for the solvability of the pursuit problem in finite time.

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DOI

10.1134/s0012266112060109

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