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

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009 Issue 2, Pages 13–16 (Mi vuu9)

This article is cited in 5 papers

MATHEMATICS

About one problem of evasion in a cone

I. N. Shuravina

Udmurt State University

Abstract: We consider a linear problem of evasion of one evador from the group of persecutors provided that players posess equal dynamic possibilities and evador does not leave a convex cone. It is proved, that if the number of persecutors is less then dimension of scape then the evador evades from a meeting on a positive semiaxis.

Keywords: differential games, group pursuit, capture, Pontryagin's example.

UDC: 517.977

MSC: 91A23, 49N75

Received: 04.07.2008

DOI: 10.20537/vm090202



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