Chaos synchronization of different chaotic systems subjected to input nonlinearity

Applied Mathematics and Computation

Volumn 197, Issue 2, 2008, Pages 775-788

  Yau, Her Terng ^a   Yan, Jun Juh ^b  

^a FAR EAST UNIVERSITY   (Taiwan)

^b SHU TE UNIVERSITY   (Taiwan)

Author keywords

Chaos synchronization; Chaotic system; Input nonlinearity; Sliding mode control

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; PROBLEM SOLVING; SLIDING MODE CONTROL; SYNCHRONIZATION;

CHAOS SYNCHRONIZATION; INPUT NONLINEARITY;

CHAOTIC SYSTEMS;

EID: 39549105622     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.014     Document Type: Article

References (28)

1. Chen G., and Dong X. From Chaos to Order: Methodologies, Perspectives and Applications (1998), World Scientific, Singapore
2. Kocarev L., and Parlitz U. General approach for chaotic synchronization with application to communication. Phys. Rev. Lett. 74 (1995) 5028-5031
3. Murali K., and Lakshmanan M. Secure communication using a compound signal from generalized synchronizable chaotic systems. Phys. Lett. A 241 6 (1998) 303-310
4. Carroll T.-L., and Pecora L.-M. Synchronizing chaotic circuits. IEEE Trans. Circ. Syst. 38 (1991) 453-456
5. Carroll T.-L., and Pecora L.-M. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824
6. Yassen M.-T. Adaptive control and synchronization of a modified Chua's system. Appl. Math. Comput. 135 (2003) 113-128
7. Chen H.-H. Global synchronization of chaotic systems via linear balanced feedback control. Appl. Math. Comput. 186 (2007) 923-931
8. Yang X.-S., Duan C.-K., and Liao X.-X. A note on mathematical aspects of drive-response type synchronization. Chaos Soliton Fract. 10 (1999) 1457-1462
9. Wang Y., Guan Z.-H., and Wen X. Adaptive synchronization for Chen chaotic system with fully unknown parameters. Chaos Soliton Fract. 19 (2004) 899-903
10. Chua L.-O., Yang T., Zhong G.-Q., and Wu C.-W. Adaptive synchronization of Chua's oscillators. Int. J. Bifurcat. Chaos 6 1 (1996) 189-201
11. Liao T.-L. Adaptive synchronization of two Lorenz systems. Chaos Soliton Fract. 9 (1998) 1555-1561
12. Lian K.-Y., Liu P., Chiang T.-S., and Chiu C.-S. Adaptive synchronization design for chaotic systems via a scalar driving signal. IEEE Trans. Circ. Syst., I 49 1 (2002) 17-27
13. Wu C.-W., Yang T., and Chua L.-O. On adaptive synchronization and control of nonlinear dynamical systems. Int. J. Bifurcat. Chaos 6 (1996) 455-471
14. Fang J.-Q., Hong Y., and Chen G. Switching manifold approach to chaos synchronization. Phys. Rev. E 59 (1999) 2523-2526
15. Yin X., Ren Y., and Shan X. Synchronization of discrete spatiotemporal chaos by using variable structure control. Chaos Soliton Fract. 14 (2002) 1077-1082
16. Yu X., and Song Y. Chaos synchronization via controlling partial state of chaotic systems. Int. J. Bifurcat. Chaos 11 6 (2001) 1737-1741
17. Wang C., and Ge S.-S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos Soliton Fract. 12 (2001) 199-206
18. Ge Z.-M., and Lee J.-K. Chaos synchronization and parameter identification for gyroscope system. Appl. Math. Comput. 163 (2005) 667-682
19. Yau H.-T., Lin J.-S., and Yan J.-J. Synchronization control for a class of chaotic systems with uncertainties. Int. J. Bifurcat. Chaos 15 7 (2005) 1-12
20. Yau H.-T. Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Chaos Soliton Fract. 22 (2004) 341-347
21. Yau H.-T., Kuo C.-L., and Yan J.-J. Fuzzy sliding mode control for a class of chaos. Int. J. Nonlinear Sci. Numer. Simulat. 17 3 (2006) 333-338
22. Lin J.-S., Yan J.-J., and Liao T.-L. Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity. Chaos Soliton Fract. 24 (2005) 371-381
23. Ho M.-Ch., and Hung Y.-Ch. Synchronization of two different systems by using generalized active control. Phys. Lett. A 301 (2002) 424-428
24. Yassen M.-T. Chaos synchronization between two different chaotic systems using active control. Chaos Soliton Fract. 23 (2005) 131-140
25. Zhang H., Huang W., Wang Z., and Chai T. Adaptive synchronization between two different chaotic systems with unknown parameters. Phys. Lett. A 350 (2006) 363-366
26. Yassen M.-T. Controlling, synchronization and tracking chaotic Liu system using active backstepping design. Phys. Lett. A 360 (2007) 582-587
27. 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
28. Slotine J.-E., and Li W. Applied Nonlinear Control (1991), Prentice-Hall, Englewood Cliffs, NJ