On the coordinate synchronization problem for dynamical systems

Differential Equations

Volumn 40, Issue 1, 2004, Pages 14-22

  Vorotnikov, V I ^a  

^a URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043067161     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:DIEQ.0000028709.33842.43     Document Type: Article

References (33)

1. Huygens, C., Horologium oscillatorium, Paris, 1673.
2. Blekhman, I.I., Sinkhronizatsiya dinamicheskikh sistem (Synchronization of Dynamical Systems), Moscow, 1971.
3. Blekhman, I.I., Synchronization in Science and Technology, New York, 1988.
4. Cuomo, K., Oppenheim, A., and Strogatz, S., Int. J. Bifurc. Chaos, 1993, vol. 3, pp. 1629-1638.
5. Blekhman, I.I., Landa, P.S., and Rosenblum, M.G., Appl. Mech. Rev., part 1, 1995, vol. 48, no. 11, pp. 733-752.
6. Blekhman, I.I., Fradkov, A.L., Nijmeijer, H., and Pogromsky, A.Yu., Systems and Control Letters, 1997, vol. 31, pp. 299-305.
7. Pecora, L.M. and Carroll, T.L., Phys. Rev. Lett., 1990, vol. 64, no. 8, pp. 821-824.
8. Lyapunov, A.M., Sobr. soch. (Collected Works), Moscow, 1956, vol. 2.
9. Rumyantsev, V.V., Vestn. MGU. Matematika, Mekhanika, Fizika, Astronomiya, Khimiya, 1957, no. 4, pp. 9-16.
10. Zubov, V.I., Matematicheskie metody issledovaniya sistem avtomaticheskogo regulirovaniya (Mathematical Methods for Investigation of Control Systems), Leningrad, 1959.
11. Corduneanu, C., Rev. Roum. Math. Pure et Appl., 1964, vol. 9, no. 3, pp. 229-236.
12. Matrosov, V.M., Trudy II Vsesoyuz. s'ezda po teoret. i prikl. mekhanike (Proc. II All-Union Conf. on Theor. and Appl. Mechanics), Moscow, 1965, pp. 112-115.
13. Halanay, A., Differential Equations: Stability, Oscillations, Time Lags, New York, 1966.
14. Peiffer, K. and Rouche, N., J. Mec., 1969, vol. 8, no. 2, pp. 323-334.
15. Risito, S., Ann. Math. Pura Appl., 1970, vol. 84, pp. 279-292.
16. Khapaev, M.M., Usrednenie v teorii ustoichivosti (Averaging in Stability Theory), Moscow, 1986.
17. Rumyantsev, V.V. and Oziraner, A.S., Ustoichivost' i stabilizatsiya dvizheniya po otnosheniyu k chasti peremennykh (Stability and Stabilization of Motion with Respect to Part of the Variables), Moscow, 1987.
18. Savchenko, A.Ya. and Ignat'ev, A.O., Nekotorye zadachi ustoichivosti neavtonomnykh sistem (Some Problems in the Stability of Nonautonomous Dynamical Systems), Kiev, 1989.
19. Hatvani, L., Alkalmaz. Mat. Lapok., 1990/1991, vol. 15, no. 1/2, pp. 1-90.
20. Andreev, A.S., Prikl. Mat. Mekh., 1991, vol. 54, no. 4, pp. 539-547.
21. Vorotnikov, V.I., Ustoichivost' dinamicheskikh sistem po otnosheniyu k chasti peremennykh (Stability of Dynamical Systems with Respect to Some of the Variables), Moscow, 1991.
22. Vorotnikov, V.I., Avtomat. Telemekh., 1993, no. 3, pp. 3-62.
23. Vorotnikov, V.I., Partial Stability and Control, Boston etc., 1998.
24. Fradkov, A.L., Miroshnik, I.V., and Nikiforov, V.O., Nonlinear and Adaptive Control of Complex Systems, Dordrecht, 1999.
25. Vorotnikov, V.I. and Rumyantsev, V.V., Ustoichivost' i upravlenie po chasti koordinat fazovogo vektora dinamicheskikh sistem: teoriya, metody i prilozheniya (Stability and Control with Respect to Some of the Coordinates of the Phase Vector of Dynamical Systems: Theory, Methods, and Applications), Moscow, 2001.
26. Vorotnikov, V.I., Dokl. RAN, 2002, vol. 384, no. 1, pp. 47-51.
27. Vorotnikov, V.I., Prikl. Mat. Mekh., 1995, vol. 59, no. 4, pp. 553-561.
28. Vorotnikov, V.I., Prikl. Mat. Mekh., 1999, vol. 63, no. 5, pp. 736-745.
29. Salvadori, L., Ann. Soc. Sci. Bruxelles Ser. I, 1974, vol. 88, no. 2, pp. 183-194.
30. Marachkov, V.P., Izv. Fiz.-Mat. Obshch. i NII Matematiki i Mekhaniki pri Kazanskom Univ. Ser. 3, 1940, vol. 12, pp. 171-174.
31. Yoshizawa, T., Stability Theory by Liapunov's Second Method, Tokyo, 1966.
32. Hahn, W., Stability of Motion, Berlin etc., 1967.
33. Wu, C.W. and Chua, L.O., Int. J. Bifurc. Chaos, 1994, vol. 4, no. 4, pp. 979-998.