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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 1, Pages 41–48 (Mi timm897)

This article is cited in 12 papers

Capture of two cooperative evaders in linear recurrent differential games

M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva

Udmurt State University

Abstract: A linear nonstationary problem of a conflict interaction of a group of pursuers with two evaders with equal dynamic and inertial capabilities of all the participants is considered under the assumptions that the fundamental matrix of the homogeneous system is a recurrent function and the evaders use the same control. Sufficient conditions for the capture of the evaders are obtained. Illustrative examples are given.

Keywords: differential game, group pursuit, recurrent function.

UDC: 517.977

Received: 01.09.2012



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