Adaptive control and function projective synchronization in 2d discrete-time chaotic systems

Communications in Theoretical Physics

Volumn 51, Issue 2, 2009, Pages 270-278

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

^a NINGBO UNIVERSITY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Adaptive control; Adaptive function projective synchronization; Backstepping design; Discrete time chaotic system

Indexed keywords

EID: 65749111918     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/51/2/17     Document Type: Article

References (54)

1. Wang Y, Z Guan and H O Wang 2003 Phys. Lett. A 34 312
2. Chen G and X Dong 1998 From Chaos to Order: Perspectives, Methodologies and Applications (World Scientific, Singapore)
3. Wu X and J Lu 2003 Chaos, Solitons Fractals 18 721
4. Lü J, J Lu and S Chen 2002 Chaotic Time Series Analysis and its Application (Wuhan Univ. Press, Wuhan)
5. Hübler A W 1989 Helv. Phys. Acta 62 343
6. Ott E, C Grebogi and J A Yorke 1990 Phys. Rev. Lett. 64 1196
7. Pecora L M and T L Carroll 1990 Phys. Rev. Lett. 64 821
8. Fujisaka H and T Yamada 1983 Prog. Theor. Phys. 69 32
9. Pecora L M and T L Caroll 1990 Phys. Rev. Lett. 64 821
10. Caroll T L and L M Pecora 1991 IEEE Trans. Circuits Syst., I: Fundam. Theor. Appl. 38 453
11. Pyragas K 1992 Phys. Lett. A 170 421
12. Pyragas K 1993 Phys. Lett. A 181 203
13. Ott E, C Grebogi and J A Yorke 1990 Phys. Rev. Lett. 64 1196
14. Boccaletti S, J Kurth, G Osipov, D L Valladares and C S Zhou 2002 Phys. Rep. 366 1
15. Kocarev L and U Parlitz 1996 Phys. Rev. Lett. 76 1816
16. Brown R and L Kocarev 2000 Chaos 10 344
17. Boccaletti S, L M Pecora and A Pelaez 2001 Phys. Rev. E 63 066219
18. Kapitaniak T 1994 Phys. Rev. E 50 1642
19. Kapitaniak T, L O Chua and G Q Zhong 1996 Int. J. Bifur. Chaos 6 211
20. Chen G and X Dong 1933 IEEE Trans. Circ. Syst. I 40 59
21. Yan Z Y 2005 Chaos 15 023902
22. Yan Z Y 2005 Phys. Lett. A 334 406
23. Mainieri R and J Rehacek 1999 Phys. Rev. Lett. 82 3042
24. Yan J and C Li 2005 Chaos, Solitons Fractals 26 1119
25. Wen G and D Xu 2005 Chaos, Solitons Fractals 26 71
26. Li G H 2007 Chaos, Solitons Fractals 8 62
27. Chen Y and X Li 2007 Z. Naturforsch 62a 176
28. Wang X Y 2003 Chaos in Complex Nonlinear Systems (Publishing House of Electronics Industry, Beijing)
29. Yamakawa T, et al 1992 Proc. 2nd Int. Conf. on Fuzzy Logic and Neural Networks p 563-566
30. Henon M 1976 Commun. Math. Phys. 50 69
31. Stefanski K 1998 Chaos, Solitons Fractals 9 93
32. Baier G and M Klain 1990 Phys. Lett. A 151 281
33. Rulkov N F 2001 Phys. Rev. Lett. 86 183
34. Itoh M, T Yang and L O Chua 2001 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11 551
35. Konishi K and H Kokame 1998 Phys. Lett. A 248 359
36. Itoh M and L O Chua 2003 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13 1055
37. Douglass J, L Wilkens, E Pantazelou and F Moss 1993 Nature (London) 365 337
38. Zaslavsky G M, M Edelman and B A Niyazov 1997 Chaos 7 159
39. Becker A and P Eckelt 1993 Chaos 3 487
40. Itoh M, et al 1994 IEICE Trans. Fundamentals E 77 2092
41. Yan Z Y 2006 Chaos 16 013119
42. Yan Z Y 2005 Phys. Lett. A 342 309
43. Kanellakopoulos I, P V Kokotovic and A S Morse 1991 IEEE Trans. Autom. Control 36 1241
44. Krstic M, et al 1995 Nonlinear Adaptive Control Design (Wiley, New York)
45. Wang C and S S Ge 2001 Chaos, Solitons Fractals 12 1199
46. Wang Q and Y Chen 2006 Appl. Math. Comp. 181 48
47. Wang C and S S Ge 2001 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11 1115
48. Chen S H, D Wang, L Chen, Q Zhang and C Wang 2004 Chaos 14 539
49. Yeh P C and P V Kokotovic 1995 Int. J. Control 62 303
50. Lu J, et al 2001 IEEE Trans. Circuits Syst., I: Fundam. Theor. Appl. 48 1359
51. Ge S S, G Y Li and T H Lee 2003 Automatica 39 807
52. Huang L, M Wang and R Feng 2005 Chaos, Solitons Fractals 23 617
53. Rulkov N F 2001 Phys. Rev. Lett. 86 183
54. Zaslavsky G M and M Edelman 1997 Chaos 7 159