Impulsive synchronization of chaotic systems

Chaos

Volumn 15, Issue 2, 2005, Pages

  Li, Chuandong ^a   Liao, Xiaofeng ^a   Zhang, Xingyou ^a,b  

^a CHONGQING UNIVERSITY   (China)

^b MASSEY UNIVERSITY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144431645     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1899823     Document Type: Article

References (17)

1. S. Hayes, C. Grebogi, and E. Ott, "Communicating with chaos," Phys. Rev. Lett. 70, 3031 (1993).
2. L. Kocarev and U. Parlitz, "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028 (1995).
3. N. J. Corron and D. W. Hahs, "A new approach to communications using chaotic signals," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 373-382 (1997).
4. K. M. Cuomo, A. V. Oppenheim, and S. H. Strogatz, "Synchronization of Lorenz-based chaotic circuits with applications to communications," IEEE Trans. Circuits Syst., II: Analog Digital Signal Process. 40, 626-633 (1993).
5. T. Yang and L. O. Chua, "Secure communication via chaotic parameter modulation," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 43, 817-819 (1996).
6. T. Yang, C. Wu, and L. Chua, "Cryptography based on chaotic systems," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 469-472 (1997).
7. L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824 (1990).
8. L. M. Pecora and T. L. Carroll, "Driving systems with chaotic signals," Phys. Rev. A 44, 2374-2383 (1991).
9. S. Boccaletti, J. Kurths, G. Osipov, D. L. Vallares, and C. S. Zhou, "The synchronization of chaotic systems," Phys. Rep. 366, 1-101 (2002).
10. T. Yang, Impulsive Control Theory (Springer, Berlin, 2001).
11. T. Yang and L. O. Chua, "Impulsive stability for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 976-988 (1997).
12. T. Yang, "Impulsive control," IEEE Trans. Autom. Control 44, 1081-1083 (1999).
13. Z. G. Li, C. Y. Wen, and Y. C. Soh, "Analysis and design of impulsive control systems," IEEE Trans. Autom. Control 46, 894-903 (2001).
14. J. T. Sun, Y. P. Zhang, and Q. D. Wu, "Less conservative conditions for asymptotic stability of impulsive control systems," IEEE Trans. Autom. Control 48, 829-831 (2003).
15. J. T. Sun and Y. P. Zhang, et al. "Some simple impulsive synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach," Chaos, Solitons Fractals 19, 1049-4055 (2004).
16. J. T. Sun, "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A 298, 153-160 (2002).
17. L. P. Shil'nikov, "Chua's circuit: Rigorous results and future problems," Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 489-519 (1999).