Chaos synchronization of general Lur'e systems via time-delay feedback control

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 1, 2003, Pages 207-213

  Liao, Xiaoxin ^a   Chen, Guanrong ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Chaos; Lur'e system; Synchronization; Time delay feedback

Indexed keywords

FEEDBACK CONTROL; LYAPUNOV METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; SYNCHRONIZATION;

TIME-DELAY FEEDBACK;

CHAOS THEORY;

EID: 0037246535     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403006455     Document Type: Article

References (10)

1. Brown, R. & Kocarev, L. [2000] "A unified definition of synchronization for dynamical systems," Chaos 10, 344-349.
2. Chen, G. & Dong, X. [1998] From Chaos to Order: Methodologies, Perspectives and Applications (World Scientific, Singapore).
3. Curran, P. F. & Chua, L. O. [1997] "Absolute stability theory and the synchronization problem," Int. J. Bifurcation and Chaos 7, 1375-1383.
4. Liao, X. X. [1993] Absolute Stability of Nonlinear Control Systems (Kluwer Academic, China Science Press, China).
5. Liao, X. X. & Chen, G. [2002a] "On feedback-controlled synchronization of chaotic systems," Dynamics of Continuous, Discrete and Impulsive Systems, to appear.
6. Liao, X. X. & Chen, G. [2002b] "Some new results on chaos synchronization," Contr. Th. Appli., to appear.
7. Liao, X. X., Chen, G. & Wang, H. O. [2002] "On global synchronization of chaotic systems," Proc. Amer. Contr. Conf., Anchorage, Alaska, USA, 8-10 May, 2002, pp. 2255-2259.
8. Suykens, J. A. K., Curran, P. F. & Chua, L. O. [1997] "Master-slave synchronization using dynamic output feedback," Int. J. Bifurcation and Chaos 7, 671-679.
9. 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. 46, 841-850.
10. 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.