Adaptive synchronization of Lü system with uncertain parameters

Chaos, Solitons and Fractals

Volumn 21, Issue 3, 2004, Pages 657-667

  Elabbasy, E M ^a   Agiza, H N ^a   El Dessoky, M M ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; SYNCHRONIZATION; TOPOLOGY;

ADAPTIVE SYNCHRONIZATION; LYAPUNOV STABILITY THEOREM;

CHAOS THEORY;

EID: 1342285714     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.12.028     Document Type: Article

References (30)

1. Pecora L.M., Carroll T.L. Synchronization of chaotic systems. Phys. Rev. Lett. 64(8):1990;821-830.
2. Carroll T.L., Pecora L.M. Synchronizing a chaotic systems. IEEE Trans. Circuits Systems. 38:1991;453-456.
3. Chen G. Control and Synchronization of Chaos, a Bibliography, Department of Electrical Engineering, University of Houston, TX, 1996.
4. Chen G., Xie Q. Synchronization stability analysis of the chotic Rossler system. Int. J. Bifurcat. Chaos. 6:1996;2153-2161.
5. Bai E.W., Lonngren K.E. Synchronization and control of chaotic systems. Chaos, Solitons & Fractals. 10:1997;1571-1576.
6. Alvarez J. Synchronization in the Lorenz system stability and robustness. Nonlinear Dyn. 10:1996;89-193.
7. Kapitaniak T. Continuous control and Synchronization in chaotic systems. Chaos, Solitons & Fractals. 6(3):1995;237-244.
8. Yang X., Duan C.K., Liao X.X. A note on Mathematical Aspects of drive-response type synchronization. Chaos, Solitons & Fractals. 10(9):1999;1457-1462.
9. Cuomo K.M., Oppenheim A.V. Circuit Implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 40:1993;65-71.
10. Kocarev L., Parlitz U. General approach for chaotic synchronization with applications to communications. Phys. Rev. Lett. 74(25):1995;5028-5031.
11. Murali K., Lakshmanan M. Secure communication using a compound signal from generalized synchronizable chaotic systems. Phys. Lett. A. 241:1998;303-310.
12. Bernardo M.D. An adaptive approach to the control and synchronization of continuous-time chaotic systems. Int. J. Bifurcat. Chaos. 6(3):1996;557-568.
13. Ioannou P.A., Sun J. Robust adaptive control. 1996;Prentice-Hall, New Jersey.
14. Wu C., Yang T., Chua L.O. On adaptive synchronization and control of nonlinear dynamical systems. Int. J. Bifurcat. Chaos. 6(3):1996;455-472.
15. Liao T., Lin S. Adaptive control and synchronization of Lorenz systems. J. Franklin Institute. 336:1999;925-937.
16. Zeng Y., Singh S.N. Adaptive control of chaos in Lorenz systems. Dyn. Control. 7:1996;143-154.
17. Bai E.W., Lonngren K.E. Synchronization of two Lorenz systems using active control. Chaos, Solitons & Fractals. 8:1997;51-58.
18. Bai E.W., Lonngren K.E. Sequential synchronization of two Lorenz system using active control. Chaos, Solitons & Fractals. 11:2000;1041-1044.
19. Liao T. Adaptive synchronization of two Lorenz systems. Chaos, Solitons & Fractals. 9:1998;1555-1561.
20. Agiza H.N., Yassen M.T. Synchronization of Rossler and Chen chaotic dynamical systems using active control. Phys. Lett. A. 278:2001;191-197.
21. Zhi L., Han C., Shi S. Modification for synchronization of Rossler and Chen chaotic systems. Phys. Lett. A. 301:2002;224-230.
22. Chen S., Lü J. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos, Solitons & Fractals. 14(4):2002;643-647.
23. Chen S., Lü J. Parameter identification and synchronization of chaotic systems based on adaptive control. Phys. Lett. A. 299(4):2002;353-358.
24. Lü J., Chen G. A new chaotic attractor coined. Int. J. Bifurcat. Chaos. 12:2002;659-661.
25. Lü J., Chen G., Zhang S. Dynamical analysis of a new chaotic attractor. Chaos, Solitons & Fractals. 14:2002;1001-1015.
26. Lü J., Chen G., Zhang S. The compound structure of a new chaotic attractor. Chaos, Solitons & Fractals. 14:2002;669-672.
27. Lorenze E.N. Deterministic non-periodic flows. J. Atmos. Sci. 20:1963;130-141.
28. Stewart I. The Lorenz attractor exists. Nature. 406:2000;948-949.
29. Chen G., Ueta T. Yet another chaotic attractor. Int. J. Bifurcat. Chaos. 9:1999;1465-4466.
30. Vaněček A., Čelikovsky S. Control systems: form linear analysis to synthesis of Chaos. 1996;Prentice-Hall, London.