Geodesic
One problem of pulse persuit
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 79-87 Cet article a éte moissonné depuis la source Math-Net.Ru

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Optimum time is found in second order linear differential game with pulse control. Optimum control has been developed for players.
Keywords: differential game; pulse control; pursuit time. 
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V. I. Ukhobotov; A. A. Troitsky. One problem of pulse persuit. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 79-87. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a10/

[1] Krasovskii N. N., The Theory of Motion Control, Nauka, M., 1970, 420 pp. (in Russ.) | Zbl

[2] Krasovskii N. N., Prikladnaya matematika i mekhanika, 32:2 (1968), 177–184 (in Russ.) | MR | Zbl

[3] Pozharitskiy G. K., Prikladnaya matematika i mekhanika, 30:5 (1966), 897–907 (in Russ.) | Zbl

[4] Subbotina N. N., Subbotin A. N., Prikladnaya matematika i mekhanika, 39:3 (1975), 397–406 (in Russ.) | MR | Zbl

[5] Petrov N. N., Izvestiya RAN. Teoriya i sistemy upravleniya, 2009, no. 2, 38–44 (in Russ.)

[6] Ukhobotov V. I., Method of one-dimensional design in linear differential games with integral constraints, Study guide, Chelyabinskiy gosudarstvennyy universitet, Chelyabinsk, 2005, 124 pp. (in Russ.)

[7] Ukhobotov V. I., “Modification of the isotropic rockets game”, Multi-criterion systems in indeterminedness and its applications, Interuniversity collection of scientific papers, Chelyabinsk State University, Izd-vo Bashkirskogo universiteta, Chelyabinsk, 1988, 123–130 (in Russ.)

[8] Ukhobotov V. I., Zaytseva O. V., “About one Problem of Impulse Pursuit at the Limited Velocity of the Escaping”, Vestnik YuUrGU. Seriya «Komp'yuternye tekhnologii, upravlenie, radioelektronika», 2(178):11 (2010), 29–32 (in Russ.) | MR

[9] Ljusternik L. A., Sobolev V. I., Elements of functional analysis, Nauka, M., 1965, 520 pp. (in Russ.) | MR

[10] Filippov A. F., Differential equations with diffuse right member, Nauka, M., 1985, 224 pp. (in Russ.) | MR