A general method for chaos synchronization and parameters estimation between different systems

Journal of Sound and Vibration

Volumn 302, Issue 4-5, 2007, Pages 777-788

  Li, Shuang ^a   Xu, Wei ^a   Li, Ruihong ^a,b   Zhao, Xiaoshan ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b XIDIAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; PARAMETER ESTIMATION; SYNCHRONIZATION;

INVARIANCE PRINCIPLES; LORENZ SYSTEMS; MATHEMATICAL EXPRESSION; RESPONSE SYSTEMS;

CHAOTIC SYSTEMS;

EID: 33947251306     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.12.012     Document Type: Article

References (20)

1. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. The synchronization of chaotic systems. Physics Reports 366 (2002) 1-101
2. Fotsin H.B., and Daafouz J. Adaptive synchronization of uncertain chaotic colpitts oscillators based on parameter identification. Physical Letters A 339 (2005) 304-315
3. Mahboobi S.H., Shahrokhi M., and Pishkenari H.N. Observer-based control design for three well-known chaotic systems. Chaos, Solitons and Fractals 29 (2006) 381-392
4. Wang C.-C., and Su J.-P. A new adaptive variable structure control for chaotic synchronization and secure communication. Chaos, Solitons and Fractals 20 (2004) 967-977
5. Park J.H. Synchronization of Genesio chaotic system via backstepping approach. Chaos, Solitons and Fractals 27 (2006) 1369-1375
6. Lei Y., Xu W., and Zheng H. Synchronization of two chaotic nonlinear gyros using active control. Physics Letters A 343 (2005) 153-158
7. Huang L., Feng R., and Wang M. Synchronization of chaotic systems via nonlinear control. Physics Letters A 320 (2004) 271-275
8. Huang D., and Guo R. Identifying parameters by identical synchronization between different systems. Chaos 14 (2004) 152-159
9. Zhang H., Huang W., Wang Z., and Chai T. Adaptive synchronization between two different chaotic systems with unknown parameters. Physics Letters A 350 (2006) 363-366
10. Huang L., Wang M., and Feng R. Parameters identification and adaptive synchronization of chaotic systems with unknown parameters. Physics Letters A 342 (2005) 299-304
11. Chen S., Hu J., Wang C., and Lü J. Adaptive synchronization of uncertain Rössler hyperchaotic system based on parameter identification. Physics Letters A 321 (2004) 50-55
12. Li L., Peng H., Wang X., and Yang Y. Comment on two papers of chaotic synchronization. Physics Letters A 333 (2004) 269-270
13. Yu D., and Wu A. Comment on "Estimating model parameters from time series by autosynchronization". Physical Review Letters 94 (2005) 219401
14. Huang D. Adaptive-feedback control algorithm. Physical Review E 73 (2006) 066204
15. Lasalle J.P. The extent of asymptotic stability. Proceedings of the National Academy of Sciences USA 46 (1960) 363-365
16. Wang Y.-W., Wen C., Soh Y.C., and Xiao J.-W. Adaptive control and synchronization for a class of nonlinear chaotic systems using partial system states. Physics Letters A 351 (2006) 79-84
17. Park J.H. Chaos synchronization between two different chaotic dynamical systems. Chaos, Solitons and Fractals 27 (2006) 549-554
18. Ho M.-C., and Hung Y.-C. Synchronization of two different systems by using generalized active control. Physics Letters A 301 (2002) 424-428
19. Liu C., Liu T., Liu L., and Liu K. A new chaotic attractor. Chaos, Solitons and Fractals 22 (2004) 1031-1038
20. Wang J.-Z., Chen Z.-Q., and Yuan Z.-Z. The generation of a hyperchaotic system based on a three-dimensional autonomous chaotic system. Chinese Physics 15 (2006) 1216-1225