Geodesic
Method of Lyapunov functions for problems of stability for system with aftereffect
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 37 (2006) no. 3, pp. 73-74.

Voir la notice de l'article provenant de la source Math-Net.Ru

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N. N. Krasovskii; A. N. Kotel'nikova. Method of Lyapunov functions for problems of stability for system with aftereffect. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 37 (2006) no. 3, pp. 73-74. http://geodesic.mathdoc.fr/item/IIMI_2006_37_3_a32/

[1] Lyapunov A. M., Obschaya zadacha ob ustoichivosti dvizheniya, Gostekhizdat, M.–L., 1950 | Zbl

[2] Ito K., Nisio M., “On stationary solutions of stochastic differential equations”, J. Math. Kyoto Univ., 4:1 (1964), 1–79 | MR

[3] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov, Glavnaya redaktsiya fiziko-matematicheskoi literatury izd-va «Nauka», M., 1974 | MR

[4] Harold J., Kushner Stochastic Stability and Control, Academic Press, New York–London, 1967 | MR | Zbl

[5] Khasminskii R. Z., Ustoichivost sistem differentsialnykh uravnenii pri sluchainykh vozmuscheniyakh ikh parametrov, Glavnaya redaktsiya fiziko-matematicheskoi literatury, M., 1969

[6] Kolmanovskii V. B., Nosov V. R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981 | MR

[7] Kats I. Ya., Krasovskii N. N., “Ob ustoichivosti sistem so sluchainymi parametrami”, Prikladnaya matematika i mekhanika, 24:5 (1960)

[8] Myshkis A. D., “Obschaya teoriya differentsialnykh uravnenii s zapazdyvayuschim argumentom”, Uspekhi matem. nauk, 1949, no. 5, 99–141 | Zbl

[9] Yoshizawa T., “Stability theory by Liapunov's Second Method”, Math. Soc. Japan, 1966 | MR

[10] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Per. s angl., Mir, M., 1984 | MR

[11] Krasovskii N. N., Nekotorye zadachi teorii ustoichivosti dvizheniya, Fizmatgiz, M., 1959 | MR

[12] Dynkin E. B., Markovskie protsessy, Fizmatgiz, M., 1963 | MR | Zbl

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

[14] Osipov Yu. S., “K teorii differentsialnykh igr sistem s posledeistviem”, PMM, 35:5 (1971)

[15] Razumikhin B. S., “Ob ustoichivosti sistem s zapazdyvaniem”, PMM, 20:3 (1956), 500–512