Master-slave synchronization of general lur'e systems with time-varying delay and parameter uncertainty

International Journal of Bifurcation and Chaos

Volumn 16, Issue 2, 2006, Pages 281-294

  Huang, H ^a,b   Li, Han Xiong ^a,b   Zhong, Jue ^c  

^a SOUTHEAST UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Lur'e systems; Matrix inequalities; Parametric uncertainty; Robust; Synchronization; Time varying delay

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; SYNCHRONIZATION;

LUR'E SYSTEMS; MATRIX INEQUALITIES; PARAMETRIC UNCERTAINTY; ROBUST; TIME-VARYING DELAY;

FEEDBACK CONTROL;

EID: 33645694260     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127406014800     Document Type: Article

References (23)

1. Boyd, S., El Ghaoui, L., Feron, E. & Balakrishnan, V. [1994] Linear Matrix Inequalities in System and Control Theory (SIAM, Philadelphia, PA).
2. Brown, R. & Kocarev, L. [2000] "A unifying definition of synchronization for dynamical systems," Chaos 10, 344-349.
3. Cao, J., Li, H. X. & Ho, D. W. C. [2005] "Synchronization criteria of Lur'e systems with time-delay feedback control," Chaos Solit. Fract. 23, 1285-1298.
4. Chen, G. & Dong, X. [1998] From Chaos to Order-Perspectives, Methodologies, and Applications (World Scientific, Singapore).
5. Chen, H. F. & Liu, J. M. [2000] "Open-loop chaotic synchronization of injection-locked semiconductor lasers with Gigahertz range modulation," IEEE J. Quant. Electron. 36, 27-34.
6. Curran, P. F. & Chua, L. O. [1997] "Absolute stability theory and the synchronization problem," Int. J. Bifurcation and Chaos 7, 1375-1382.
7. Curran, P. F., Suykens, J. A. K. & Chua, L. O. [1997] "Absolute stability theory and master-slave synchronization," Int. J. Bifurcation and Chaos 7, 2891-2896.
8. Hasler, M. [1994] "Synchronization principles and applications," in Circuits and Systems: Tutorials IEEE-ISCAS'94, pp. 314-326.
9. Konishi, K. & Kokame, H. [1999] "Robust stability of Lur'e systems with time-varying uncertainties: A linear matrix inequality approach," Int. J. Syst. Sci. 30, 3-9.
10. Liao, X. & Chen, G. [2003] "Chaos synchronization of general Lur'e systems via time-delay feedback control," Int. J. Bifurcation and Chaos 13, 207-213.
11. Madan, R. N. (ed.) [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
12. Moon, Y. S., Park, P., Kwon, W. H. & Lee, Y. S. [2001] "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Contr. 74, 1447-1455.
13. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
14. Suykens, J. A. K. & Vandewalle, J. [1997] "Master-slave synchronization of Lur'e systems," Int. J. Bifurcation and Chaos 7, 665-669.
15. ∞ synchronization of chaotic Lur'e systems," IEEE Trans. Circuits Syst.-I 44, 891-904.
16. ∞ synchronization of Lur'e systems: Dynamic output feedback case" IEEE Trans. Circuits Syst.-144, 1089-1092.
17. Suykens, J. A. K., Vandewalle, J. & Chua, L. O. [1997c] "Nonlinear HOC synchronization of chaotic Lur'e systems," Int. J. Bifurcation and Chaos 7, 1323-1335.
18. Suykens, J. A. K., Curran, P. F. & Chua, L. O. [1999] "Robust synthesis for master-slave synchronization of Lur'e systems," IEEE Trans. Circuits Syst.-I 46, 841-850.
19. Vidyasagar, M. [1993] Nonlinear Systems Analysis (Prentice-Hall, Englewood Cliffs, NJ).
20. Wu, C. W. & Chua, L. O. [1994] "A unified framework for synchronization and control of dynamical systems," Int. J. Bifurcation and Chaos 4, 979-998.
21. Yalçin, M. E., Suykens, J. A. K. & Vandewalle, J. [2001] "Master-slave synchronization of Lur'e systems with time-delay," Int. J. Bifurcation and Chaos 11, 1707-1722.
22. Zhang, H. & Ma, X. [2004] "Synchronization of uncertain chaotic systems with parameters perturbation via active control," Chaos Solit. Fract. 21, 39-47.
23. Zhang, H., Ma, X. & Liu, W. [2004] "Synchronization of chaotic systems with parametric uncertainty using active sliding mode control," Chaos Solit. Fract. 21, 1249-1257.