Observer-based impulsive chaotic synchronization of discrete-time switched systems

Nonlinear Dynamics

Volumn 62, Issue 4, 2010, Pages 781-789

  Zhang, Zhigang ^a,b   Liu, Xinzhi ^b  

^a HUBEI UNIVERSITY OF ECONOMICS   (China)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Exponential stability; Impulsive chaotic synchronization; Parameter dependent Lyapunov function; Switched systems

Indexed keywords

CHAOTIC SYNCHRONIZATION; DISCRETE-TIME SWITCHED SYSTEM; EXPONENTIAL STABILITY; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; STATE-DEPENDENT; SUFFICIENT CONDITIONS; SWITCHED SYSTEM; SWITCHING STRATEGIES;

DIFFERENTIAL EQUATIONS; EXPONENTIAL FUNCTIONS; FILTER BANKS; LYAPUNOV FUNCTIONS; STABILITY CRITERIA; SWITCHING SYSTEMS; SYNCHRONIZATION; SYSTEM STABILITY;

CHAOTIC SYSTEMS;

EID: 78049472393     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9762-y     Document Type: Article

References (25)

1. Lakshmanan, M., Murali, K.: Chaos in Nonlinear Oscillators: Controlling and Synchronization. World Scientific, Singapore (1996)
2. S.K. Han C. Kurrer Y. Kuramoto 1995 Dephasing and bursting in coupled neural oscillators Phys. Rev. Lett. 75 17 3190 3193 10.1103/PhysRevLett.75.3190
3. B. Blasius A. Huppert L. Stone 1999 Complex dynamics and phase synchronization in spatially extended ecological systems Nature 399 6734 354 358 10.1038/20676 (Pubitemid 29318132)
4. L. Kocarev K.S. Halle K. Eckert L.O. Chua U. Parlitz 1992 Experimental demonstration of secure communications via chaotic synchronization Int. J. Bifurc. Chaos 2 3 709 713 0875.94134 10.1142/S0218127492000823
5. A. Khadra X.Z. Liu X.M. Shen 2003 Application of impulsive synchronization to communication security IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50 3 341 351 10.1109/TCSI.2003.808839 1984762
6. A. Khadra X.Z. Liu X.M. Shen 2005 Impulsively synchronizing chaotic systems with delay and applications to secure communication Automatica 41 9 1491 1502 1086.93051 10.1016/j.automatica.2005.04.012 2161112 (Pubitemid 41000117)
7. L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 8 821 824 10.1103/PhysRevLett.64.821 1038263
8. E. Ott C. Grebogi J.A. Yorke 1990 Controlling chaos Phys. Rev. Lett. 64 11 1196 1199 0964.37501 10.1103/PhysRevLett.64.1196 1041523
9. J.F. Heagy T.L. Carroll L.M. Pecora 1994 Synchronous chaos in coupled oscillator systems Phys. Rev. E 50 3 1874 1885 10.1103/PhysRevE.50.1874
10. H.N. Agiza A.E. Matouk 2006 Adaptive synchronization of Chua circuits with fully unknown parameters Chaos Solitons Fractals 28 1 219 227 1089.94048 10.1016/j.chaos.2005.05.055 2175556 (Pubitemid 41491988)
11. J.H. Park S.M. Lee O.M. Kwon 2007 Adaptive synchronization of genesio-tesi chaotic system via a novel feedback control Phys. Lett. A 371 4 263 270 10.1016/j.physleta.2007.06.020 2287792
12. M.T. Yassen 2005 Controlling chaos and synchronization for new chaotic system using linear feedback control Chaos Solitons Fractals 26 3 913 920 1093.93539 10.1016/j.chaos.2005.01.047 2145427 (Pubitemid 40682522)
13. H.B. Zhang X.F. Liao J.B. Yu 2005 Fuzzy modeling and synchronization of hyperchaotic systems Chaos Solitons Fractals 26 3 835 843 1093.93540 10.1016/j.chaos.2005.01.023 (Pubitemid 40682514)
14. O. Morguo E. Solak 1996 Observer based synchronization of chaotic systems Phys. Rev. E 54 5 4803 4811 10.1103/PhysRevE.54.4803
15. M.Y. Chen D.H. Zhou Y. Shang 2005 A new observer-based synchronization scheme for private communication Chaos Solitons Fractals 24 4 1025 1030 1069.94508 10.1016/j.chaos.2004.09.096 2132357 (Pubitemid 40146206)
16. S.H. Chen Q.J. Zhang J. Xie C.P. Wang 2004 A stable-manifold-based method for chaos control and synchronization Chaos Solitons Fractals 20 5 947 954 1050.93032 10.1016/j.chaos.2003.09.021 2029368
17. T. Yang L.O. Chua 1997 Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 44 10 976 988 10.1109/81.633887 1488197 (Pubitemid 127768200)
18. M.S. Branicky 1998 Multiple Lyapunov functions and other analysis tools for switchedand hybrid systems IEEE Trans. Autom. Control 43 4 475 482 0904.93036 10.1109/9.664150 1617575
19. V. Lakshmikantham X.Z. Liu 1998 Impulsive hybrid systems and stability theory Dyn. Syst. Appl. 7 1 1 10 0901.34018 1612017
20. Liberzon, D.: Switching in Systems and Control. Springer, Berlin (2003)
21. J.H. Lu T.S. Zhou G.R. Chen X.S. Yang 2002 Generating chaos with a switching piecewise-linear controller Chaos: Interdiscip. J. Nonlinear Sci. 12 2 344 349 10.1063/1.1478079
22. X.Z. Liu K.L. Teo H.T. Zhang G.R. Chen 2006 Switching control of linear systems for generating chaos Chaos Solitons Fractals 30 3 725 733 1143.93322 10.1016/j.chaos.2005.03.020 2238696 (Pubitemid 43903169)
23. G. Millerioux J. Daafouz 2003 An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50 10 1270 1279 10.1109/TCSI.2003.816301 2014468
24. X.Z. Liu 1993 Impulsive stabilization of nonlinear systems IMA J. Math. Control Inf. 10 1 11 19 0789.93101 10.1093/imamci/10.1.11
25. J. Daafouz J. Bernussou 2001 Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties Syst. Control Lett. 43 5 355 359 0978.93070 10.1016/S0167-6911(01)00118-9 2008018 (Pubitemid 32663764)