Impulsively synchronizing chaotic systems with delay and applications to secure communication

Automatica

Volumn 41, Issue 9, 2005, Pages 1491-1502

  Khadra, Anmar ^a   Liu, X Z ^a   Shen, X ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Communication security; Equi attractivity; Hyperchaos; Impulsive delay systems; Impulsive synchronization

Indexed keywords

COMMUNICATION; COMPUTER SIMULATION; DELAY CIRCUITS; LYAPUNOV METHODS; SYNCHRONIZATION; TRANSMITTERS;

COMMUNICATION SECURITY; EQUI-ATTRACTIVITY; HYPERCHAOS; IMPULSIVE DELAY SYSTEMS; IMPULSIVE SYNCHRONIZATION;

CHAOS THEORY;

EID: 22344455493     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.04.012     Document Type: Article

References (26)

1. R.E. Amritkar, and N. Gupte Synchronization of chaotic orbits: the effect of a finite time steps Physical Review E 47 6 1993 3889 3895
2. G.H. Ballinger, and X.Z. Liu Existence and uniqueness results for impulsive delay differential equations Dynamics of Continuous, Discrete and Impulsive Systems 5 1999 579 591
3. G.H. Ballinger, and X.Z. Liu Existence, uniqueness and boundedness results for impulsive delay differential equations Applicable Analysis 74 1-2 2000 71 93
4. K.M. Cuomo, and A. Oppenheim Chaotic signals and systems for communications IEEE ICASSP 3 1993 137 140
5. G. Grassi, and S. Mascolo Non-linear observer design to synchronize hyperchaotic systems via a scalar signal IEEE Transactions on Circuits and Systems-I 44 10 1997 1011 1014
6. G. Grassi, and S. Mascolo A system theory approach for designing cryptosystems based on hyperchaos IEEE Transactions on Circuits and Systems-I 46 9 1999 1135 1138
7. G. Grassi, and S. Mascolo Synchronizing hyperchaotic systems by observer design IEEE Transactions on Circuits and Systems-II 46 4 1999 478 483
8. Z.H. Guan, C.W. Chan, Y.T. Leung, and G. Chen Robust stabilization of singular-impulsive-delayed systems with non-linear perturbations IEEE Transactions on Circuits and Systems-I 48 8 2001 1011 1019
9. K.S. Halle, C.W. Wu, M. Itoh, and L.O. Chua Spread spectrum communication through modulation of chaos International Journal of Bifurcation and Chaos 3 2 1993 469 477
10. Itoh, M., Yamamoto, N., Yang, T., & Chua, L. O. (1999). Performance analysis of impulsive synchronization. Proceedings of the 1999 european conference on circuit theory and design, Stresa, Italy (pp. 353-356).
11. M. Itoh, T. Yang, and L.O. Chua Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits International Journal of Bifurcation and Chaos 9 7 1999 1393 1424
12. M. Itoh, T. Yang, and L.O. Chua Conditions for impulsive synchronization of chaotic and hyperchaotic systems International Journal of Bifurcation and Chaos 11 2 2001 551 560
13. A. Khadra, X.Z. Liu, and X. Shen Robust impulsive synchronization and application to communication security Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms 10 2003 403 416
14. A. Khadra, X.Z. Liu, and X. Shen Application of impulsive synchronization to communication security IEEE Transactions on Circuits and Systems-I 50 3 2003 341 351
15. L. Kocarev, K.S. Halle, K. Eckert, L.O. Chua, and U. Parlitz Experimental demonstration of secure communications via chaotic synchronization International Journal of Bifurcation and Chaos 2 3 1992 709 713
16. V. Lakshmikantham, and X.Z. Liu Stability analysis in terms of two measures 1993 World Scientific Singapore
17. Z.G. Li, C.Y. Wen, and Y.C. Soh Analysis and design of impulsive control systems IEEE Transactions on Automatic Control 46 2001 894 899
18. Z.G. Li, C.Y. Wen, Y.C. Soh, and W.X. Xie The stabilization and synchronization of Chua's oscillators via impulsive control IEEE Transactions on Circuits and Systems-I 48 11 2001 1351 1355
19. T. Matsumoto, L.O. Chua, and K. Kobayashi Hyperchaos: laboratory experiment and numerical confirmation IEEE Transactions on Circuits and Systems-I 33 11 1986 1143 1147
20. L. Pecora, and T. Carroll Synchronization in chaotic systems Physical Review Letters 64 8 1990 821 824
21. J.H. Peng, E.J. Ding, M. Ding, and W. Yang Synchronizing hyperchaos with scalar transmitted signal Physical Review Letters 76 6 1996 904 907
22. T. Stojanovski, L. Kocarev, and U. Parlitz Driving and synchronizing by chaotic impulses Physical Review E 43 9 1996 782 785
23. J.A. Suykens, T. Yang, and L.O. Chua Impulsive synchronization of chaotic Lur'e systems by measurement feedback International Journal of Bifurcation and Chaos 8 6 1998 1371 1381
24. T. Yang, and L.O. Chua Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication IEEE Transactions on Circuits and Systems-I 44 10 1997 976 988
25. T. Yang, and L.O. Chua Impulsive control and synchronization of non-linear dynamical systems and application to secure communication International Journal of Bifurcation and Chaos 7 3 1997 645 664
26. T. Yang, and L.O. Chua Generalized synchronization of chaos via linear transformations International Journal of Bifurcation and Chaos 9 1 1999 215 219