Synchronization of a class of chaotic systems via a nonlinear observer approach

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2002, Pages 3895-3900

  Čelikovský, Sergej ^a   Chen, Guanrong ^b  

^a INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; THEOREM PROVING;

CHAOS SYNCHRONIZATION; CHAOTIC OSCILLATION; GENERALIZED LORENZ SYSTEM; SOFTWARE PACKAGE MATLAB-SIMULINK;

SYNCHRONIZATION;

EID: 0036991719     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Agiza, H.N. and M.T. Yassen, "Synchronization of Rössler and Chen chaotic dynamical systems using active control", Phys. Lett. A, vol. 278 (2000), pp. 191-197.
2. Čelikovský, S. and A. Vaněček (1994). Bilinear systems and chaos. Kybernetika, vol. 30, pp. 403-424.
3. Čelikovský, S. and G. Chen, "On a generalized Lorenz canonical form of chaotic systems" Int. J. of Bifur. Chaos, to appear in vol. 12 (2002), No. 8, in press.
4. Chen, G. and X. Dong, From Chaos to Order: Methodologies, Perspectives, and Applications, World Scientific Pub. Co., Singapore 1998.
5. Chen, G. and T. Ueta, "Yet another chaotic attractor" Int. J. of Bifur. Chaos, vol. 9 (1999), pp. 1465-1466.
6. Guan, X.-P., Z.-P. Fan, H.-P. Peng and Y.-Q. Wang, The Adaptive control of Chen's chaotic systems. ACTA Physica Sinica, vol. 50 (2001), pp. 2108-2111.
7. Guan, Z.-H., R.-Q. Liao, F. Zhou and H. O. Wang, "On impulsive control and its application to Chen's chaotic systems", Int. J. of Bifur. Chaos, to appear.
8. Lian, L. and P. Liu, "Synchronization with Message Embedded for Generalized Lorenz Chaotic Circuits and Its Error Analysis", IEEE Trans. Circ. Syst.-I, vol. 47 (2000), pp. 1418-1424.
9. Lü, J., G. Chen, S. Zhang and S. Čelikovský, "Bridge the gap between the Lorenz system and the Chen system" Int. J. of Bifur. Chaos, to appear.
10. Lü, J. and S. Zhang, "Controlling Chen's chaotic attractor using backstepping design based on parameters identification", Physics Letters A, vol. 286 (2001), pp. 148-152.
11. Lü, J., T. Zhou and S. Zhang, "Controlling Chen's chaotic attractor using feedback function based on parameters identification", Chinese Physics, vol. 11 (2002), pp. 12-16.
12. Ueta, T. and G. Chen, "Bifurcation analysis of Chen's equation", Int. J. of Bifur. Chaos, vol. 10 (2000), pp. 1917-1931.
13. Vaněček, A. and S. Čelikovský, Control Systems: From Linear Analysis to Synthesis of Chaos. Prentice Hall, London 1996.
14. Wang, X., "Chen's attractor - A new chaotic attractor", (in Chinese) Control Theory and Applications, vol. 16 (1999), p. 779.
15. Wiggins, S., Global Bifurcation and Chaos: Analytical Methods, Springer Verlag, New York 1988.
16. Yang, L.-B. and T. Yang, "Sampled-data feedback control for Chen's chaotic system" (in Chinese), ACTA Physica Sinica, vol. 49 (2000), pp. 1039-1042.
17. Yu, X. and Y. Xia, "Detecting unstable periodic orbits in Chen's chaotic attractor", Int. J. of Bifur. Chaos, vol. 10 (2000), pp. 1987-1991.
18. Zhong, G.-Q. and K. S. Tang, "Circuit implementation and synchronization of Chen's attractor", Int. J. of Bifur. Chaos, vol. 12 (2002), pp. 1423-1427.