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

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011 Issue 4, Pages 3–8 (Mi vuu292)

This article is cited in 8 papers

MATHEMATICS

On the capture of two evaders in a simple pursuit-evasion problem with phase restrictions

M. N. Vinogradova

Department of Mathematics and Informatics, Udmurt State University Branch in Votkinsk, Votkinsk, Russia

Abstract: A differential game of the group of persecutors and two evaders is considered at equal dynamic opportunities of all participants and under equal phase restrictions imposed on the states of evaders. Sufficient solvability conditions are derived proceeding on the assumption that the evaders use the same control.

Keywords: differential game, phase restrictions, piece-program strategy, counterstrategy.

UDC: 517.977

MSC: 49N70, 49N75

Received: 19.09.2011



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