Controlled synchronization of chaotic systems with uncertainties via a sliding mode control design

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 70, Issue 6, 2004, Pages 10-

  Bowong, Samuel ^a   Moukam Kakmeni, F M ^b   Tchawoua, Clement ^b  

^a INRIA   (France)

^b UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85036188520     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066217     Document Type: Article

References (22)

1. H. G. Schuster, Deterministic Chaos (Physik-Verlag, Berlin, 1984).
2. Y. I. Neimark and P. S. Landa, Stochastic and Chaotic Oscillations (Kluwer Academic Press, Dordrecht, 1987).
3. L. M. Pecora and L. M. Caroll, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.64.821 64, 821 (1990).
4. K. Pyragas, Phys. Lett. APYLAAG0375-960110.1016/0375-9601(92)90745-8 170, 421 (1992).
5. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.71.65 71, 65 (1993).
6. L. O. Chua, T. Yang, G. Q. Zhong, and C. W. Wu, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE40218-1274 6, 189 (1996).10.1142/S0218127496001946
7. R. Femat, J. Alvarez-Ramirez, and G. Fermandez-Anaya, Physica DPDNPDT0167-278910.1016/S0167-2789(99)00226-2 139, 231 (2000).
8. C. W. Wu and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE40218-1274 3, 1619 (1993).10.1142/S0218127493001288
9. J. J. Collins and I. Stewart, J. Nonlinear Sci.JNSCEK0938-8794 3, 349 (1995).
10. F. Mossayebi, H. K. Qammar, and T. T. Hartley, Phys. Lett. APYLAAG0375-960110.1016/0375-9601(91)90013-X 161, 255 (1991).
11. C. W. Wu, Y. Tao, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE40218-1274 6, 211 (1996).10.1142/S021812749600196X
12. H. Nijmeiher and I. M. Y. Marceels, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.ITCAEX1057-712210.1109/81.633877 44, 882 (1997).
13. M. di Bernado, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE40218-1274 6, 557 (1996).10.1142/S0218127496000254
14. D. Cheng and Y. Hong, Stability of Ideal Sliding Dynamics, in Control Theory, Stochastic Analysis and Applications, edited by G. Cheng (World Scientific, Singapore, 1991).
15. G. Nicolis and I. Prigogine, Self-organization in Non-equilibrium Systems (Wiley, New York, 1993).
16. C. Edwards and P. C. Tung, Sliding Mode Control: Theory and Applications (Taylor & Francis, London, 1992).
17. H. Yua, L. O. Chua, and C. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng.IJBEE40218-1274 5, 1139 (2000).
18. T. Liao and N. Huang, Phys. Lett. APYLAAG0375-960110.1016/S0375-9601(97)00472-6 234, 262 (1997).
19. T. Yang and H. H. Shao, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.65.046210 65, 046210 (2002).
20. A. Teel and L. Praly, SIAM J. Control Optim.SJCODC0363-0129 33, 1443 (1995).10.1137/S0363012992241430
21. A. Isidori, Nonlinear Control Systems (Springer, London, 1995).
22. H. J. Sussman and P. V. Kokotovic, IEEE Trans. Autom. ControlIETAA90018-9286 36, 461 (1991).