Geodesic
Difference-differencial game of approach and evasion in Hilbert space, I
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2013), pp. 33-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the dynamic guidance-to-the-functional set game for conflict controlled differential system with time delay is studied. Fulfillment of conditions of saddle point relative to the right side of the system is not supposed to be. The proof is based on Hilbert space norm.
Keywords: differential game, aftereffect, positional procedure, Hilbert space.
Mots-clés : norm 
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V. L. Pasikov. Difference-differencial game of approach and evasion in Hilbert space, I. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2013), pp. 33-41. http://geodesic.mathdoc.fr/item/VSGU_2013_3_a3/

[1] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 456 pp. | MR | Zbl

[2] Krasovskii N. N., “K zadache unifikatsii differentsialnykh igr”, DAN SSSR, 226:6 (1976), 1260–1263 | MR

[3] Krasovskii N. N., Subbotin A. I., Ushakov V. N., “Minimaksnaya differentsialnaya igra”, DAN SSSR, 206:2 (1972), 277–280 | MR

[4] Subbotin A. I., Chentsov A. G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981, 288 pp. | MR

[5] Osipov Yu. S., “Ob odnoi differentsialnoi igre sblizheniya”, Differentsialnye igry i zadachi upravleniya, AN SSSR UNTs, Sverdlovsk, 1975, 157–166 | MR

[6] Osipov Yu. S., “Alternativa v differentsialno-raznostnoi igre”, DAN SSSR, 197:5 (1971), 1022–1026 | MR

[7] Osipov Yu. S., “Differentsialnaya igra navedeniya dlya sistem s posledeistviem”, PMM, 35:1 (1971), 123–131 | MR | Zbl

[8] Osipov Yu. S., “K teorii differentsialnykh igr sistem s posledeistviem”, PMM, 35:2 (1971), 300–314 | MR

[9] Osipov Yu. S., Alesenko L. P., “O regulyarizatsii upravleniya v differentsialno-raznostnoi igre sblizheniya-ukloneniya”, Differentsialnye uravneniya, 12:6 (1976), 1000–1006 | MR

[10] Ushakov V. N., “Minimaksnoe pogloschenie v differentsialnykh igrakh”, Ekstremalnye strategii v pozitsionnykh differentsialnykh igrakh, AN SSSR UNTs, Sverdlovsk, 1977, 253–272

[11] Ushakov V. N., “Minimaksnaya differentsialnaya igra sblizheniya-ukloneniya i lokalnye usloviya razreshimosti zadach sblizheniya-ukloneniya”, Differentsialnye sistemy upravleniya, AN SSSR UNTs, Sverdlovsk, 1979, 87–93 | MR

[12] Maksimov V. I., “Alternativa v differentsialno-raznostnoi igre sblizheniya ukloneniya s funktsionalnoi tselyu”, PMM, 40:6 (1976), 987–994 | MR | Zbl

[13] Pasikov V. L., “Alternativa v minimaksnoi differentsialnoi igre dlya sistem s posledeistviem”, Izvestiya vuzov. Ser.: Matematika, 1983, no. 8, 45–50 | MR | Zbl

[14] Pasikov V. L., Minimaksnaya differentsialnaya igra sblizheniya-ukloneniya dlya sistem s posledeistviem, Dep. v VINITI, No 3582-83, 1982, 40 pp.