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Title of Article

THE PROBLEM OF PURSUIT OF ONE EVADER BY TWO PURSUERS


Issue
4
Date
2011

Article type
scientific article
UDC
517.977.8
Pages
276-277
Keywords
 


Authors
Patsko Valeriy Semenovich
nstitut matematiki i mekhaniki UrO RAN, Ekaterinburg

Ganebnyy Sergey Aleksandrovich
nstitut matematiki i mekhaniki UrO RAN, Ekaterinburg

Kumkov Sergey Sergeevich
nstitut matematiki i mekhaniki UrO RAN, Ekaterinburg

Le Menek Stefan
EADS / MBDA France, Parizh (Frantsiya)


Abstract
Results of the numerical investigation of an antagonistic linear differential game, where the payoff function is computed at two instants using the operation of minimum are presented. From the practical point of view, the problem is get after linearization of a pursuit-evasion problem, where two pursuing objects attack another evading one on collision courses. The difficulty of the solution is connected to the fact that the payoff function (and, therefore, the value function) is not convex.

File (in Russian)