On nonlinear control and synchronization design for autonomous chaotic systems

Nonlinear Dynamics and Systems Theory

Volumn 8, Issue 2, 2008, Pages 151-167

  Boukabou, A ^a  

^a UNIVERSITY OF JIJEL   (Algeria)

Author keywords

Autonomous systems; Chaos; Control; Synchronization

Indexed keywords

EID: 44849112139     PISSN: 15628353     EISSN: 18137385     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. Agiza, H.N. and Yassen, M.T. Synchronization of Rossler and Chen chaotic dynamical systems using active control. Phys. Lett. A 278 (2001) 191-197.
2. Bai, E.-W., Lonngren, K. E. and Sprott, J. C. On the synchronization of a class of electronic circuits that exibit chaos. Chaos Solit. & Fract. 13 (2002) 1515-1521.
3. Boccaletti, S., Kurths, J., Osipov, G., Valladares, D.L. and Zhou, C.S. The synchronization of chaotic systems. Phys. Rep. 366 (2002) 1-101.
4. Boukabou, A. and Mansouri, N. Controlling chaos in higher-order dynamical systems. Int. J. Bifurcation & Chaos 14(12)(2004) 4019-4025.
5. Chen, G. and Dong, X. From Chaos to Order: Methodologies, Perspectives and Applications. World Scientific, Singapore, 1998.
6. Chen, G. and Lü, J. A new chaotic attractor coined. Int. J. Bifurcation & Chaos 12(3) (2002) 659-661.
7. Chen, M.-Y., Han, Z.-Z. and Shang, Y. General synchronization of Genesio-Tesi systems. Int. J. Bifurcation & Chaos 14(1) (2004) 347-354.
8. Cruz, C. and Nijmeijer, H. Synchronization through filtering. Int. J. Bifurcation & Chaos 10(4) (2000) 763-775.
9. Cruz-Hernández, C., López-Mancilla, D., García, V., Serrano, H. and Núñez, R. Experimental realization of binary signal transmission using chaos. J. Circ. Syst. Computers 14(3) (2005) 453-468.
10. Cuomo, K.M., Oppenheim, A.V. and Strogratz, S.H. Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans. Circuits & Syst. II 40(10) (1993) 626-633.
11. Dedieu, H., Kennedy, M.P., Hasler, M. Chaotic shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits. IEEE Trans. Circuits & Syst. II 40(10) (1993) 634-642.
12. Ding, M., Yang, W., In, V., Ditto, W.L., Spano, M.L. and Gluckman, B. Controlling chaos in high dimensions: Theory and experiment. Phys. Rev. E 53 (1996) 4334-4344.
13. Fradkov, A.L. and Pogromsky, Yu., A. Introduction to control of oscillations and chaos. World Scientific, Singapore, 1998.
14. Feldmann, U., Hasler, M. and Schwarz, W. Communication by chaotic signals: the inverse system approach. Int. J. Circuits Theory & Applications 24 (1996) 551-579.
15. Hegazi, A., Agiza, H.N. and El-Dessoky, M.M. Controlling chaotic behaviour for spin generator and Rossler dynamical systems with feedback control. Chaos Solit. & Fract. 12(4) (2001) 631-658.
16. Lai, Y.C. and Grebogi, C. Synchronization of chaotic trajectories using control. Phys. Rev. E 47 (1993) 2357-2360.
17. López-Mancilla, D. and Cruz-Hernández, C. Output synchronization of chaotic systems: Model-matching approach with application to secure communication. Nonlinear Dynamics & Systems Theory 5(2) (2005) 141-156.
18. Matias, M.A. and Güémez, J. Chaos suppression in flows using proportional pulses in the system variables. Phys. Rev. E 54 (1996) 189-209.
19. Nijmeijer, H. and Mareels, I.M.Y. An observer looks at synchronization. IEEE Trans. Circuits & Syst.-I 44(10) (1997) 882-890.
20. Nijmeijer, H. A dynamical control view on synchronization. Physica D 154 (2001) 219-228.
21. Ogorzalek, M.J. Taming chaos - Part I: Synchronization; Part II: Control. IEEE Trans. Circuits & Syst.-I 40 (1993) 693-706.
22. Ott, E., Grebogi, C. and Yorke, J.A. Controlling chaos. Phys. Rev. Lett. 64 (1990) 1196-1199.
23. Parlitz, U., Chua, L.O., Kocarev, L.J., Halle, K.S. and Shang, A. Transmission of digital signals by chaotic synchronization. Int. J. Bifurcation & Chaos 2(4) (1992) 973-977.
24. Pecora, L.M., Carroll, T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824.
25. Pecora, L.M., Carroll, T.L., Johnson, G.A. and Mar, D.J. Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos 7 (1997) 520-543.
26. Pyragas, K. Continuous control of chaos by self-controlling feedback. Phys. Lett. A 170 (1992) 421-428.
27. Sarasola, C., Torrealdea, F. J., D'anjou, A., Moujahid, A. and Grana, M. Feedback synchronization of chaotic systems. Int. J. Bifurcation & Chaos 13(1) (2003) 177-191.
28. Sira-Ramírez, H. and Cruz, C. Synchronization of Chaotic Systems: A Generalized Hamiltonian Systems Approach. Int. J. Bifurcation & Chaos 11(5) (2001) 1381-1395. And in Procs. of American Control Conference (ACC'2000), Chicago, USA, 769-773.
29. Yang, T. and Chua, L.O. Secure communication via chaotic parameter modulation. IEEE Trans. Circuits & Syst. I 43(9) (1996) 817-819.
30. Yang, T. and Chua, L.O. Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Int. J. Bifurcation & Chaos 7(3) (1997) 645-664.
31. Yang, X. S. A framework for synchronization theory. Chaos Solit. & Fract. 11 (2000) 1365-1368.
32. Zhou, T., Lü, J., Chen, G. and Tang, Y. Synchronization stability of three chaotic systems with linear coupling. Phys. Lett. A 301 (2002) 231-240.