Geodesic
Extreme strategies in game-theory problems for linear integral differential Volterra systems, I
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 33-42
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Game situations for the systems, defined by linear integral differential Volterra equations with control actions beyond the integral are studied. To solve these problems a modification of a familiar extreme construction of academician N. N. Krasovsky is given.
Keywords: game-theory problem, integral differential system, control action, program maximin.
Mots-clés : game positions 
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V. L. Pasikov. Extreme strategies in game-theory problems for linear integral differential Volterra systems, I. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 33-42. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a4/

[1] Krasovskii N. N., Motion game problems, Nauka, M., 1970, 420 pp. (in Russ.) | MR | Zbl

[2] Krasovskii N. N., Subbotin A. I., Position differential games, Nauka, M., 1974, 456 pp. (in Russ.) | MR | Zbl

[3] Subbotin A. I., Chentsov A. G., Guarantee optimization in control problems, Nauka, M., 1981, 287 pp. (in Russ.) | MR

[4] Krasovskii N. N., Dynamic system control, Nauka, M., 1985, 518 pp. (in Russ.) | MR

[5] Osipov Yu. S., DAN SSSR, 196:4 (1971), 779–782 (in Russ.) | MR | Zbl

[6] Osipov Yu. S., DAN SSSR, 197:5 (1971), 1023–1025 (in Russ.)

[7] Subbotin A. I., DAN SSSR, 206:3 (1972), 211–213 (in Russ.)

[8] Subbotin A. I., Ekstremal'nye strategii v pozitsionnykh differentsial'nykh igrakh, 8, IMM UNTs AN SSSR, Sverdlovsk, 1974, 211–223 (in Russ.)

[9] Lando Yu. K., Elements of a mathematical motion control theory, Study guide, Prosveshchenie, M., 1984, 88 pp. (in Russ.)

[10] Tsaliuk Z. B., Itogi nauki i tekhniki. Ser. Matematicheskii analiz, 15, VINITI, M., 1977, 199–266 | MR | Zbl

[11] Pasikov V. L., Differentsial'nye uravneniia, 22:5 (1986), 907–909 (in Russ.)

[12] Krasnov M. L., Integral equations, Nauka, M., 1975, 303 pp. (in Russ.) | MR | Zbl