Modified impulsive synchronization of hyperchaotic systems

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 3, 2010, Pages 728-740

  Haeri, Mohammad ^a   Dehghani, Mahsa ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Hyperchaotic systems; Modified impulsive synchronization; Noise; Stability; Uncertainty

Indexed keywords

CHAOTIC SYSTEMS; SYNCHRONIZATION;

% REDUCTIONS; CONTROL COSTS; HYPER-CHAOTIC SYSTEMS; IMPULSIVE SYNCHRONIZATION; INTEGRAL TERMS; MODIFIED IMPULSIVE SYNCHRONIZATION; NOISE; SYNCHRONIZATION PERFORMANCE; SYNCHRONIZATION TECHNIQUE; UNCERTAINTY;

ERRORS;

EID: 70349820735     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.04.023     Document Type: Article

References (29)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824
2. Agiza H.N., and Yassen M.T. Synchronization of Rössler and Chen chaotic dynamical systems using active control. Phys. Lett. A 278 (2001) 191-197
3. Bai E.W., and Lonngren K.E. Synchronization of two Lorenz systems using active control. Chaos Soliton. Fract. 8 (1997) 51-58
4. Zhang H., Ma X.K., and Liu W.Z. Synchronization of chaotic systems with parametric uncertainty using active sliding mode control. Chaos Soliton. Fract. 21 (2004) 1249-1257
5. Huang L., Feng R., and Wang M. Synchronization of chaotic systems via nonlinear control. Phys. Lett. A 320 (2004) 271-275
6. Wang C.C., and Su J.P. A new adaptive variable structure control for chaotic synchronization and secure communication. Chaos Soliton. Fract. 20 (2004) 967-977
7. Yau H.T. Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Chaos Soliton. Fract. 22 (2004) 341-347
8. Li Z.G., Wen C.Y., Soh Y.C., and Xie W.X. The stabilization and synchronization of Chua's oscillators via impulsive control. IEEE Trans. Circuits Syst. I 48 11 (2001) 1351-1355
9. Itoh M., Yang T., and Chua L.O. Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Int. J. Bifurcat. Chaos 11 (2001) 551-560
10. Li C., and Liao X. Impulsive synchronization of nonlinear coupled chaotic systems. Phys. Lett. A 328 (2004) 47-50
11. Haeri M., and Dehghani M. Impulsive synchronization of Chen's hyperchaotic system. Phys. Lett. A 356 3 (2006) 226-230
12. Chen D., Sun J., and Huang C. Impulsive control and synchronization of general chaotic system. Chaos Soliton. Fract. 28 (2006) 213-218
13. Parlitz U., Kocarev L., Stojanovski T., and Junge L. Chaos synchronization using sporadic driving. Physica D 109 (1997) 139-152
14. Stojanovski T., Kocarev L., Parlitz U., and Harris R. Sporadic driving of dynamical systems. Phys. Rev. E 55 4 (1997) 4035-4048
15. Haeri M., and Dehghani M. Robust stability of impulsive synchronization in hyperchaotic systems. Commun. Nonlinear Sci. Numer. Simul. 14 3 (2009) 880-891
16. Haeri M., and Dehghani M. Impulsive synchronization of different hyperchaotic systems. Chaos Soliton. Fract. 38 1 (2008) 120-131
17. Cafagna D., and Grassi G. Synchronizing hyperchaos using a scalar signal: a unified framework for systems with one or several nonlinearities. Asia-Pacific Conf. Circuits Syst. APCCAS'02 28-31 (2002) 575-580
18. Grassi G., and Miller D.A. Experimental realization of observer-based hyperchaos synchronization. IEEE Trans. Circuits Syst. I 48 3 (2001) 366-374
19. Tamasevicius A., Cenys A., Mykolaitis G., Namajunas A., and Lindberg E. Synchronization of hyperchaotic oscillators. Electron Lett. 33 (1997) 2025-2026
20. Yang T. Impulsive Control Theory (2001), Springer, Berlin
21. Liu X. Impulsive stabilization and control of chaotic system. Nonlinear Anal. Theory Methods Appl. 47 2 (2001) 1081-1092
22. Li C., and Liao X. Complete and lag synchronization of chaotic systems via small pulses. Chaos Soliton. Fract. 22 (2004) 857-867
23. Sun J., Zhang Y., Qiao F., and Wu Q. Some impulsive synchronization criterions for coupled chaotic systems via unidirectional linear error feedback approach. Chaos Soliton. Fract. 19 5 (2004) 1049-1055
24. Li C., Chen G., and Liao X. Chaos quasi-synchronization induced by impulsive control and parameter mismatches. Chaos 16 2 (2006) 023102
25. Li C., Liao X., Yang X., and Huang T. Impulsive stabilization and synchronization of delayed chaotic systems. Chaos 15 4 (2005) 043103
26. Zhang Y., and Sun J. Controlling chaotic Lu systems using impulsive control. Phys. Lett. A 342 3 (2005) 256-262
27. Sun J., Zhang Y., and Wu Q. Impulsive control for the stabilization and synchronization of Lorenz systems. Phys. Lett. A 298 2-3 (2002) 153-160
28. Yang T., Yang L.B., and Yang C.M. Impulsive control of Lorenz system. Physica D 110 1-2 (1997) 18-24
29. Li C., Liao X., and Zhang X. Impulsive synchronization of chaotic systems. Chaos 15 2 (2005) 023104