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@article{TIMM_2004_10_2_a4,
author = {A. N. Kotel'nikova},
title = {A~problem of game stochastic stabilization of a~controlled object},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {69--82},
year = {2004},
volume = {10},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2004_10_2_a4/}
}
A. N. Kotel'nikova. A problem of game stochastic stabilization of a controlled object. Trudy Instituta matematiki i mehaniki, Mathematical control theory, differential games, Tome 10 (2004) no. 2, pp. 69-82. http://geodesic.mathdoc.fr/item/TIMM_2004_10_2_a4/
[1] Kurzhanskii A. B., Upravlenie i nablyudenie v usloviyakh neopredelennosti, Nauka, M., 1977 | MR | Zbl
[2] Osipov Yu. S., Kryazhimskii A. V., Inverse problem of ordinary differential equations: Dynamical solutions, Gordon Breach, London, 1995 | MR | Zbl
[3] Subbotin A. I., Chentsov A. G., Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981 | MR
[4] Kleimenov A. F., Neantagonisticheskie pozitsionnye differentsialnye igry, Nauka, UrO RAN, Ekaterinburg, 1993 | MR
[5] Krasovskii N. N., Subbotin A. I., Game-Theoretical Control Problems, Springer, New York etc., 1988 | MR | Zbl
[6] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Per. s angl., Mir, M., 1984 | MR
[7] Osipov Yu. S., “O stabilizatsii upravlyaemykh sistem s zapazdyvaniem”, Differents. uravneniya, 1:5 (1965), 605–618 | MR | Zbl
[8] Shimanov S. N., “K teorii lineinykh differentsialnykh uravnenii s posledeistviem”, Differents. uravneniya, 1:1 (1965), 102–116 | Zbl
[9] Kim A. V., $i$-gladkii analiz i funktsionalno-differentsialnye uravneniya, UrO RAN, Ekaterinburg, 1996
[10] Yoshizawa T., Stability theory by Liapunov's Second Method, Publications of the Mathematical Society of Japan, 9, Math. Soc. Japan, Tokyo, 1966 | MR
[11] Krasovskii H. H., Nekotorye zadachi teorii ustoichivosti dvizheniya, Fizmatgiz, M., 1959 | MR
[12] Neiman Dzh. fon, Morgenshtern O., Teoriya igr i ekonomicheskoe povedenie, Per. s angl., Nauka, M., 1970 | MR
[13] Kantorovich L. V., Akilov G. P., Functional Analysis, Pergamon Press, Oxford, 1982 | MR | Zbl
[14] Parthasarathy T., Raghavan T., Some Topics in Two-Person Games, Amer. Elsevier, New York, 1971 | MR | Zbl
[15] Fan K., “Minimax theorems”, Proc. Nat. Acad. Sci. USA, 39:1 (1953), 42–47 | DOI | MR
[16] Gnedenko B. V., Kurs teorii veroyatnostei, Nauka, M., 1965 | MR
[17] Kats I. Ya., Metod funktsii Lyapunova v zadachakh ustoichivosti i stabilizatsii sistem sluchainoi struktury, Izd-vo Ural. gos. akad. putei soobsch., Ekaterinburg, 1998
[18] Kolmanovskii V. V., Nosov V. R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981 | MR
[19] Kushner G. Dzh., Stokhasticheskaya ustoichivost i upravlenie, Per. s angl., Mir, M., 1969
[20] Khasminskii R. Z., Ustoichivost sistem differentsialnykh uravnenii pri sluchainykh vozmuscheniyakh ikh parametrov, Gl. red. fiz.-mat. lit., M., 1969
[21] Razumikhin B. S., “Ob ustoichivosti sistem s zapazdyvaniem”, Prikl. matematika i mekhanika, 20:4 (1956), 500–512