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Russia Izhevsk
Section  Mathematics 
Title  Problem of group pursuit in a Pontriagin's example 
Author(s)  Sakharov D.V.^{a} 
Affiliations  Udmurt State University^{a} 
Abstract  A pursuit problem of one evader by a group of pursuers in stationary L.S. Pontriagin's example with equal possibilities for all participants is considered. It is supposed that the roots of the characteristic equation are simple and purely imaginary, the terminal sets are the convex compacts and the set of possible controls is arbitrary convex compact. The sufficient solvability conditions of the problem of pursuit are obtained, illustrative examples are presented. 
Keywords  differential game, group pursuit, Pontriagin's example 
UDC  517.977 
MSC  49N70, 49N75 
DOI  10.20537/vm130412 
Received  19 October 2013 
Language  Russian 
Citation  Sakharov D.V. Problem of group pursuit in a Pontriagin's example, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 4, pp. 125131. 
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