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

S. A. Ganebnyi; S. S. Kumkov; S. Le Ménec; V. S. Patsko

Geodesic

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

S. A. Ganebnyi ; S. S. Kumkov ; S. Le Ménec ; V. S. Patsko

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 32-37

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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.

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     author = {S. A. Ganebnyi and S. S. Kumkov and S. Le M\'enec and V. S. Patsko},
     title = {Game pursuit problem with two pursuers and one evader: dependence of solution on parameters},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a13/}
}

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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. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 32-37. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a13/