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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011 Issue 1, Pages 3–7 (Mi vuu201)

This article is cited in 9 papers

MATHEMATICS

About a problem of positional capture of one evader by group of pursuers

A. S. Bannikov

Udmurt State University, Izhevsk, Russia

Abstract: We study a problem of positional capture of one evader by group of pursuers with equal dynamic and inertial capabilities of the players. Sufficient conditions for $\varepsilon$-capture on a finite interval of time are obtained.

Keywords: differential game, position control with guide.

UDC: 517.977

MSC: 49N70, 49N75

Received: 30.09.2010



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