Problems of stability with respect to part of the variables

Journal of Applied Mathematics and Mechanics

Volumn 63, Issue 5, 1999, Pages 695-703

  Vorotnikov, V I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033233733     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(99)00088-X     Document Type: Article

References (33)

1. Lyapunov, A. M., Investigation of one of the special cases of the problem of stability of motion. In Collected Papers, Vol. 2, Izd. Akad. Nauk SSSR, Moscow, 1956, 272-331.
2. Rumyantsev, V. V., The stability of motion with respect to part of the variables. Vestnik Moskov. Gos. Univ., Ser. Mat., Mekh., Astron., Fiz., Khim., 1957, 4, 9-16.
3. Rumyantsev, V. V. and Oziraner, A. S., Stability and Stabilization of Motion with Respect to Part of the Variables. Nauka, Moscow, 1987.
4. Hatvani, L., On the stability of the solutions of ordinary differential equations with mechanical applications. Alkalm. Mat. Lap., 1990/1991, 15, 1/2, 1-90.
5. Andreyev, A. S., The investigation of partial asymptotic stability. Prikl. Mat. Mekh., 1991, 55, 4, 539-547.
6. Vorotnikov, V. I., Stability of Dynamical Systems with Respect to Part of the Variables. Nauka, Moscow, 1991.
7. Vorotnikov, V. I., Problems and methods for investigating stability and stabilization of motion with respect to part of the variables: Research trends, results and special features. Avtomatika i Telemekhanika, 1993, 3, 3-62.
8. Vorotnikov, V. I., Partial Stability and Control. Birkhauser, Boston, 1998.
9. Movchan, A. A., Stability of processes with respect to two metrics. Prikl. Mat. Mekh., 1960, 24, 6, 988-1001.
10. Sirazetdinov, T. K., Stability of Systems with Distributed Parameters. Nauka, Novosibirsk, 1987.
11. Lakshikantham, V., Leela, S. and Martynyuk, A. A., Stability Analysis of Nonlinear Systems. Dekker, New York, 1989.
12. Vujicic, V. A. and Kozlov, V. V., Lyapunov's problem of stability relative to given state functions. Prikl. Mat. Mekh., 1991, 55, 4, 555-559.
13. Aminov, A. B. and Sirazetdinov, T. K., The Lyapunov function method in problems of polystability of motion. Prikl. Mat. Mekh., 1987, 51, 5, 709-716.
14. Martynyuk A. A., Polystability - A new direction in the analysis of non-linear systems (a survey). Prikl. Mekh., 1994, 30, 5, 3-17.
15. Oziraner, A. S., The stability of motion in critical cases. Prikl. Mat. Mekh., 1975, 39, 415-421.
16. Oziraner, A. S., The stability of unsteady motions in the first approximation. Prikl. Mat. Mekh., 1976, 40, 3, 424-430.
17. Malkin, I. G., Theory of Stability of Motion. Nauka, Moscow, 1966.
18. Vorotnikov, V. I., The theory of stability with respect to part of the variables. Prikl. Mat. Mekh., 1995, 59, 4, 553-561.
19. Salvadori, L., Sul problema della stabilita asintotica. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis., Mat. E Natur., 1972, 53, 1-2, 35-38.
20. Salvadori, L., Some contributions to asymptotic stability theory. Ann. Soc. Sci., Bruxelle, Ser. I, 1974, 88, 2, 183-194.
21. Marachkov, V. P., On a stability theorem. Izv. Fiz.-mat. Obshch. I Nauch.-issl. Inst. Mat. Mekh. Pri Kazan. Univ., Ser. 3, 1940, 12, 171-174.
22. Corduneanu, C., Some problems concerning partial stability. In Symp. Math., 6, Meccanica Non-lineare e Stabilita. Academic Press, London, 1971, 141-154.
23. Perron, O., Die Stabilitätsfrage bei Differentialgleichungen. Math. Z., 1930, 32, 5, 703-728.
24. Rumyantsev, V. V., The Stability of Steady Motions of Space Satellites. Vychisl. Tsentr Akad. Nauk SSSR, Moscow, 1967.
25. Zubov, V. I., Lectures on Control Theory. Nauka, Moscow, 1975.
26. Krementulo, V. V., Stabilization of the Steady Motions of a Rigid Body by Means of Rotating Masses. Nauka, Moscow, 1977.
27. Kalman, R. E., Falb, P. L. and Arbib, M. A., Topics in Mathematical System Theory. McGraw-Hill, New York, 1969.
28. Raushenbakh, B. V. and Tokar', Ye. N., Control of Spacecraft Orientations. Nauka, Moscow, 1974.
29. Corduneanu, C., Sur la Stabilité Partielle. Rev. Roum. Math. Pure et Appl., 1964, 9, 3, 229-236.
30. Pfeiffer, K. and Rouchen, N., Liapounov's second method applied to partial stability. J. Mech., 1969, 8, 2, 323-334.
31. Vorotnikov, V. I., Theorems of the Barbashin-Krasovskii type in problems of stability with respect to part of the variables. Dokl. Ross. Akad. Nauk., 1997, 354, 4, 481-484.
32. Risito, C., Sulla Stabilità Asintotica Parziale. Am. Math. Pura Ed Appl., 1970, 84, 279-292.
33. Krasovskii, N. N., Some Problems of the Theory of the Stability of Motion. Fizmatgiz, Moscow, 1959.