Geodesic
On a numerical method of solving conflict control problems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 67-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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Linear-convex positional differential games with quality indices that evaluate deviations of the motion trajectory at the given instants from the given targets are considered. A numerical method of computing the game value and optimal control laws is discussed. The method is based on a recurrent construction of upper convex hulls of appropriate auxiliary functions.
Keywords: differential games, game value, saddle point, minmax-maxmin strategies. 
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D. V. Kornev. On a numerical method of solving conflict control problems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 67-68. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a29/

[1] Krasovskii N.N., Upravlenie dinamicheskoi sistemoi. Zadacha o minimume garantirovannogo rezultata, Nauka, M., 1985, 520 pp.

[2] Krasovskii A.N., “Postroenie smeshannykh strategii na osnove stokhasticheskikh programm”, Prikladnaya matematika i mekhanika, 51:2 (1987), 186–192 | MR | Zbl

[3] Krasovskii A.N., Krasovskii N.N., Control under Lack of Information, Birkhäuser, Berlin etc., 1995, 322 pp. | MR

[4] Lukoyanov N.Yu., “K voprosu vychisleniya tseny differentsialnoi igry dlya pozitsionnogo funktsionala”, Prikladnaya matematika i mekhanika, 62:2 (1998), 188–198 | MR | Zbl