Absolute stability theory and the synchronization problem

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 6, 1997, Pages 1375-1382

  Curran, P F ^a   Chua, L O ^b  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PECORA;

EID: 0001795716     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001096     Document Type: Article

References (12)

1. Boyd, S., El Ghaoui, L., Feron, E. & Balakrishnan, V. [1994] Linear Matrix Inequalities in System and Control theory (SIAM: Studies in Applied Mathematics), Vol. 15.
2. Chua, L. O., Wu, C. W., Huang, A. & Zhong, G. Q. [1993] "A universal circuit for studying and generating chaos, part I: Routes to chaos," IEEE Trans. Circuits Syst. - I: Fundamental Theory and Applications 10(40), 732-744, Special Issue on Chaos in Electronic Circuits, Part A.
3. Cuomo, K. M. & Oppenheim, A. V. [1993] "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. Lett. 71(1), 65-68.
4. Curran, P. F. [1993] "Proof of the circle criterion for state space systems via quadratic Lyapunov functions - Part 1," Int. J. Control 57(4), 921-955.
5. Hasler, M. [1994] "Synchronization principles and applications," Circuits and Systems: Tutorials IEEE-ISCAS'94, 314-326.
6. Khalil, H. K. [1992] Nonlinear Systems (MacMillan, New York).
7. Kocarev, L., Halle, K. S., Eckert, K., Chua, L. O. & Parlitz, U. [1992] "Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos 2(3), 709-713.
8. LaSalle, J. P. & Lefschetz, S. [1961] Stability by Liapunov's Direct Method with Applications (Academic Press, New York)
9. Pecora, L. & Carroll, T. [1991] "Driving systems with chaotic signals," Phys. Rev. A44, 2374-2383.
10. Parlitz, U., Chua, L. O., Kocarev, L., Halle, K. S. & Shang, A. [1992] "Transmission of digital signals by chaotic synchronization," Int. J. Bifurcation and Chaos 2(4), 973-977.
11. Vidyasagar, M. [1978] Nonlinear Systems Analysis (Prentice Hall, New Jersey).
12. Wu, C. W. & Chua, L. O. [1994] "A Unified framework for synchronization and control of dynamical systems," Int. J. Bifurcation and Chaos 4(4), 979-998.