Impulsive synchronization of chaotic systems via linear matrix inequalities

International Journal of Bifurcation and Chaos

Volumn 16, Issue 1, 2006, Pages 221-227

  Ji, Y ^a   Wen, C Y ^a   Li, Z G ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b INSTITUTE FOR INFOCOMM RESEARCH   (Singapore)

Author keywords

Chaotic systems; Impulsive synchronization; Linear matrix inequalities

Indexed keywords

BANDWIDTH; MATRIX ALGEBRA; SPREAD SPECTRUM COMMUNICATION; SYNCHRONIZATION;

CHAOTIC SYSTEMS; IMPULSIVE SYNCHRONIZATION; LINEAR MATRIX INEQUALITIES;

CHAOS THEORY;

EID: 33644932164     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127406014757     Document Type: Article

References (15)

1. Boyd, S., El Ghaoui, L., Feron, E. & Balakrishnam, V. [1994] Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia).
2. Cuomo, K. M., Oppenheim, A. V. & Strogatz, S. H. [1993] "Synchronization of Lorenz-based chaotic circuits with application to communication," IEEE Trans. Circuits Syst.-I 40, 626-633.
3. Dedieu, H., Kennedy, M. P. & Hasler, M. [1993] "Chaos shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits," IEEE Trans. Circuits Syst.-II 40, 634-642.
4. Khadra, A., Liu, X. & Shen, X. [2003] "Application of impulsive synchronization to communication security," IEEE Trans. Circuits Syst.-I 50, 341-351.
5. Lakshmikantham, V., Bainov, D. D. & Simenov, P. S. [1989] Theory of Impulsive Differential Equations (World Scientific, Singapore).
6. Li, Z. G., Wen, C. Y. & Soh, Y. C. [2001] "The stabilization and synchronization of Chua's oscillators via impulsive control," IEEE Trans. Circuit Syst.-I 48, 1351-1355.
7. Li, Z. G., Li, K., Wen, C. Y. & Soh, Y. C. [2003] "A new chaotic secure communication system," IEEE Trans. Commun. 51, 1306-1312.
8. Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141.
9. Madan, R. N. [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
10. Parlitz, U., Chua, L. O., Kocarev, L., Halle, K. S. & Shang, A. [1993] "Transmission of digital signals by chaotic synchronization," Int. J. Bifurcation and Chaos 2, 973-977.
11. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
12. Suykens, J. A. K., Yang, T. & Chua, L. O. [1998] "Impulsive synchronization of chaotic Lur'e systems by measurement feedback," Int. J. Bifurcation and Chaos 8, 1371-1381.
13. Xie, W. X., Wen, C. Y. & Li, Z. G. [2000] "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A 275, 67-72.
14. Yang, T. & Chua, L. O. [1997] "Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. Circuits Syst.-I 44, 976-988.
15. Yang, T. [1999] "Chaotic secure communication systems: History and new results," Telecommun. Rev. 9, 597-634.