Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system

Chaos, Solitons and Fractals

Volumn 35, Issue 2, 2008, Pages 376-382

  Zhao, Junchan ^a   Lu, Jun an ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; FEEDBACK CONTROL; PARAMETER ESTIMATION; SYNCHRONIZATION;

HYPERCHAOTIC SYSTEMS; STATE FEEDBACK CONTROL; SYSTEM PARAMETER;

CHAOTIC SYSTEMS;

EID: 34548588281     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.035     Document Type: Article

References (23)

1. Hübler A.W. Adaptive control of chaotic system. Helv Acta 62 (1989) 343-346
2. Pecora L.M., and Carrol T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
3. Carroll T.L., and Pecora L.M. Synchronizing chaotic circuits. IEEE Trans Circ Syst I 38 (1991) 453-456
4. Liu F., Ren Y., Shan X., and Qiu Z. A linear feedback synchronization theorem for a class of chaotic systems. Chaos, Solitons & Fractals 13 (2002) 723
5. Chua L.O., and Itah M. Chaos synchronization in Chua's circuits. J Circ Syst Comput 3 (1993) 93-108
6. Chua L.O., Yang T., and Zhong G. Adaptive synchronization of Chua's oscillators. Int J Bifurcat Chaos 6 (1996) 189-201
7. Chen G., and Dong X. From chaos to order: methodologies, perspectives and applications (1998), World Scientific, Singapore
8. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys Rev Lett 64 11 (1990) 1196-1199
9. Fuh C.C., and Tung P.C. Controlling chaos using differential geometric method. Phys Rev Lett 75 16 (1995) 2952-2955
10. Scanchez E.N., Perez J.P., Martinez M., et al. Chaos stabilization: an inverse optimal control approach. Latin Am Appl Res 32 1 (2002) 111-114
11. Yang T., and Chua L.O. Control of chaos using sampled-data feedback control. Int J Bifurcat Chaos 8 12 (1998) 2433-2438
12. Lu J.-A., Xie J., Lü J., and Chen S. Control chaos in transition system using sampled-data feedback. Appl Math Mech 24 11 (2003) 1157-1162
13. Chen S., and Lü J. Synchronization of an uncertain unified system via adaptive control. Chaos, Solitons & Fractals 14 (2002) 643-647
14. Lu J.-A., Huang B., and Wu X. Control of a unified chaotic system with delayed continuous periodic switch. Chaos, Solitons & Fractals 22 (2004) 229-236
15. Tan X., Zhang J., and Yang Y. Synchronizing chaotic systems using backstepping design. Chaos, Solitons & Fractals 16 (2003) 37-45
16. Rossler O.E. An equation for hyperchaos. Phys Lett A 71 (1979) 155
17. Ning C.Z., and Haken H. Detuned lasers and the complex Lorenz equations: subcritical and supercritical Hopf bifurcations. Phys Rev A 41 (1990) 3826
18. Kapitaniak T., Chua L.O., and Zhong G. experimental hyperchaos in coupled Chua's circuits. IEEE Trans Circ Syst I 41 (1994) 499-503
19. Chen A., Lu J.-A., Lü J., and Yu S. Generating hyperchaotic Lü attractor via state feedback control. Physica A 364 (2006) 103-110
20. Lü J., and Chen G. A new chaotic attractor coined. Int J Bifurcat Chaos 12 3 (2002) 659-661
21. Lü J., Chen G., Cheng D., and Cělikovsky S. Bridge the gap between the Lorenz system and Chen system. Int J Bifurcat Chaos 12 (2002) 2917-2926
22. Yan J., and Li C. On synchronization of three chaotic systems. Chaos, Solitons & Fractals 23 (2005) 1245-1251
23. Li D., Lu J.-A., and Wu X. Chaos synchronization by combining drive and feedback methods. Wuhan Univ J Nat Sci 50 3 (2004) 280-282 [in Chinese]