S. A. Ganebnyi, S. S. Kumkov, S. Le Ménec, V. S. Patsko, “Game pursuit problem with two pursuers and one evader: dependence of solution on parameters”, Izv. IMI UdGU, 2012, Issue 1(39),Pages <nobr>32

Game pursuit problem with two pursuers and one evader: dependence of solution on parameters

S. A. Ganebnyi^a, S. S. Kumkov^a, S. Le Ménec^b, V. S. Patsko^a

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b EADS / MBDA, France

Abstract: A model linear differential game with two pursuers and one evader is considered. Results of numerical study of structure of level sets of the value function for different variants of the game parameters are given.

Keywords: multiple person pursuit-evasion games, linear dynamics, value function.

UDC: 517.977.8

MSC: 49N75, 49M30

Received: 26.02.2012