Generalization on the chaos control of 4-D chaotic systems using recursive backstepping nonlinear controller

Chaos, Solitons and Fractals

Volumn 41, Issue 5, 2009, Pages 2371-2376

  Njah, A N ^a   Sunday, O D ^a  

^a FEDERAL UNIVERSITY OF AGRICULTURE   (Nigeria)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; CONTROLLERS;

CHAOS CONTROL; CROSS PRODUCT; DESIRED TRAJECTORIES; LOW-FREQUENCY; NON-LINEAR CONTROLLERS; NONLINEAR TECHNIQUES; SHORT WAVELENGTHS;

BACKSTEPPING;

EID: 67649311974     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.09.008     Document Type: Article

References (36)

1. Chen G., and Dong X. From chaos to order: methodologies, perspectives and applications (1998), World Scientific, Singapore
2. Kapitaniak T. Controlling chaos: theoretical and practical methods in nonlinear dynamics (1996), Academic Press, London
3. Lakshmanan M., and Murali K. Chaos in nonlinear oscillators: controlling and synchronization (1996), World Scientific, Singapore
4. Boccaletti S., Grebogi C., Lai Y.-C., Mancini H., and Maza D. Phys Rep 329 (2000) 103
5. Ott E., Grebogi C., and Yorke J.A. Phys Rev Lett 64 (1990) 1196
6. Pyragas K. Phys Lett A 170 (1992) 421
7. Pyragas K., and Tawagoshi A. Phys Lett A 180 (1996) 29
8. Pyragas K. Phys Rev Lett 86 (2001) 2265
9. Chen G., and Yu X. IEEE Trans Circ Syst I 46 (1999) 767
10. Guan X., Chen C., Fan Z., and Peng H. Int J Bifurc Chaos 13 (2003) 193
11. Ercan S., Omar M., and Umut E.W. Phys Lett A 279 (2001) 47
12. Ghezzi L.L., and Piccardi C. Automatica 33 (1997) 181
13. Konishi K., Hirai M., and Kokame H. Phys Lett A 245 (1998) 571
14. Jang M. Int J Bifurc Chaos 12 (2002) 1437
15. Yu X. Chaos, Solitons & Fractals 8 (1997) 1577
16. Bai E.W., and Lonngren K.E. Chaos, Solitons & Fractals 8 (1997) 51
17. Ucar A., Lonngren K.E., and Bai E.W. Chaos, Solitons & Fractals 27 (2006) 1292
18. Harb A.M. Chaos, Solitons & Fractals 19 (2004) 1217
19. Harb A.M., and Harb B.A. Chaos, Solitons & Fractals 20 (2004) 719
20. Yongguang Y., and Suochun Z. Chaos, Solitons & Fractals 15 (2003) 897
21. Ge S.S., Wang C., and Lee T.H. Int J Bifurc Chaos 10 (2000) 1149
22. Zhang H., Ma X.-K., Li M., and Zou J.-L. Chaos, Solitons & Fractals 26 (2005) 353
23. Kotkotovic P.V. IEEE Control Syst Mag 6 (1992) 7
24. Kristic M., Kanellakopoulus I., and Kokotovic P. Nonlinear and adaptive control (1995), John Wiley and Sons Inc.
25. Vincent U.E., Njah A.N., and Laoye J.A. Phys D 231 (1996) 130
26. Laoye J.A., Vincent U.E., and Kareem S.O. Chaos, Solitons & Fractals 39 1 (2009) 356-362
27. Stenflo L. Phys Scr 53 (1996) 83
28. Zhaou C., Lai C.H., and Yu M.Y. J Math Phys 38 (1997) 5225
29. Liu Z. Phys Scr 61 (2000) 526
30. Banerjee S., Saha P., and Chowdhury A.R. Phys Scr 63 (2001) 177
31. Banerjee S., Saha P., and Chowdhury A.R. Int J Nonlinear Mech 39 (2004) 25
32. Qi G., Chen Z., Du S., and Yuan Z. Chaos, Solitons & Fractals 23 (2005) 1671
33. Qi G., and Chen G. Phys Lett A 352 (2006) 386
34. Vincent U.E. Chaos, Solitons & Fractals 37 (2008) 1065
35. Njah AN, Sunday OD. Synchronization of identical and non-identical 4-D chaotic systems via Lyapunov direct method, submitted for publication.
36. Ho M.-C., Hung Y.-C., Liu Z.-Y., and Jiang I.-M. Phys Lett A 348 (2006) 251