Anticipated function synchronization with unknown parameters of discrete-time chaotic systems

International Journal of Modern Physics C

Volumn 20, Issue 4, 2009, Pages 597-608

  Li, Yin ^a,d   Li, Biao ^a,c   Chen, Yong ^a,b  

^a NINGBO UNIVERSITY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^d UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Anticipated function synchronization; Backstepping design; Fold maps; H non maps

Indexed keywords

EID: 67649408913     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183109013820     Document Type: Article

References (33)

1. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
2. C. C. Wang and J. P. Su, Chaos, Solitons Fractals 20, 967 (2004).
3. E. Ott, C. Grebogi and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
4. J. H. Park, Int. J. Nonlinear Sci. Numer. Simul. 6, 201 (2005).
5. Y. Wang, Z. H. Guan and H. Wang, Phys. Lett. A 312, 34 (2003).
6. X. S. Yang and G. Chen, Chaos, Solitons Fractals 13, 1303 (2002).
7. E. W. Bai and K. E. Lonngren, Chaos, Solitons Fractals 11, 1041 (2000).
8. J. H. Park and O. M. Kwon, Chaos, Solitons Fractals 23, 445 (2005).
9. X. Wu and J. Lu, Chaos, Solitons Fractals 18, 721 (2003).
10. J. Hu, S. Chen and L. Chen, Phys. Lett. A 339, 455 (2005).
11. G. Wen and D. Xu, Chaos, Solitons Fractals 26, 1 (2005).
12. G. H. Li, Chaos, Solitons Fractals 32, 1454 (2007).
13. X. Y. Wang, (Publishing House of Electronics Industry, Beijing, 2003); T. Yamakawa et al., Proc. of the 2nd International Conference on Fuzzy Logic and Neural Networks (1992), pp. 563-566.
14. G. Chen and X. Dong, From Chaos to Order (World Scientific, Singapore, 1998).
15. M. Itoh, T. Yang and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 551 (2001);
16. K. Konishi and H. Kokame, Phys. Lett. A 248, 359 (1998).
17. G. M. Zaslavsky, M. Edelman and B. A. Niyazov, Chaos 7, 159 (1997).
18. Z. Y. Yan, Chaos 16, 013119 (2006);
19. Phys. Lett. A 342, 309 (2005).
20. I. Kanellakopoulos and P. V. Kokotovic, IEEE Trans. Autom. Control 36, 1241 (1991).
21. M. Krstic and P. Kokotovic, Nonlinear Adaptive Control Design (Wiley, New York, 1995).
22. C. Wang and S. S. Ge, Chaos, Solitons Fractals 12, 1199 (2001).
23. C. Wang and S. S. Ge, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 1115 (2001).
24. S. H. Chen, D. Wang, L. Chen, Q. Zhang and C. Wang, Chaos 14, 539 (2004).
25. P. C. Yeh and P. V. Kokotovic, Int. J. Control 62, 303 (1995).
26. J. Lu et al., IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 48, 1359 (2001).
27. L. Huang, M. Wang and R. Feng, Chaos, Solitons Fractals 23, 617 (2005).
28. Y. Chen and X. Li, Z. Naturforsch 62a, 22 (2007).
29. Y. Chen and X. Li, Z. Naturforsch 63a, 7 (2008).
30. D. L. Hitzl and F. Zele, Physica D 14, 305 (1985).
31. M. Itoh, T. Yang and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 55 (2001).
32. M. F. Hu, Z. Y. Xu and R. Zhang, Commun. Nonlinear Sci. Numer. Simul. 13, 782 (2008).
33. G. H. Li, Chaos, Solitons Fractals 32, 1786 (2007).