Geodesic
Game problem of yacht patrol of preset area
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 74-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem about management of a yacht with a variable wind is considered. The management purpose is to keep the yacht on the set time interval in the fixed area. The problem is considered in the form of differential game. The second player operates a wind.
Keywords: control, differential game, strategy. 
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V. I. Ukhobotov; I. V. Tseunova. Game problem of yacht patrol of preset area. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 74-79. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a8/

[1] Dzh. U. Kregss, “Zadachi upravleniya dvizheniem”, Matematicheskoe modelirovanie, M., 1979, 24–26

[2] V. I. Ukhobotov, I. V. Tseunova, “Igrovaya zadacha vybora nailuchshego kursa yakhty”, Vestnik Yuzhno-Uralskogo gosudarstvennogo universiteta. Seriya matematicheskoe modelirovanie i programmirovanie, 2009, no. 3, 114–120

[3] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, M., 1972, 496 pp.

[4] B. N. Pshenichnyi, “Igra s prostym dvizheniem i vypuklym terminalnym mnozhestvom”, Teoriya optimalnykh reshenii. Trudy seminara, no. 3, Kiev, 1969, 3–16

[5] V. I. Ukhobotov, “Differentsialnaya igra uderzhaniya”, Tekhnicheskaya kibernetika, 1984, no. 2, 70–76

[6] H. Hermes, “The Generalized Differential Equation $\dot{x}\in R(t,x)$”, Advances in Mathematics, 1970, no. 4, 149–169

[7] B. N. Pshenichnyi, Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980, 320 pp.