Robust stability of impulsive synchronization in hyperchaotic systems

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 3, 2009, Pages 880-891

  Haeri, Mohammad ^a   Dehghani, Mahsa ^b  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Hyperchaotic systems; Impulsive synchronization; Noise; Stability; Uncertainty

Indexed keywords

CHAOTIC SYSTEMS; IMPULSE NOISE; SYNCHRONIZATION; SYSTEM STABILITY;

CHANNEL NOISE; CHAOTICS; CONDITION; HYPER-CHAOTIC SYSTEMS; IMPULSIVE SYNCHRONIZATION; NOISE; ROBUST STABILITY; SYNCHRONIZATION METHOD; SYSTEM DYNAMICS; UNCERTAINTY;

NUMERICAL METHODS;

EID: 50249090982     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.11.019     Document Type: Article

References (26)

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. Wang C.C., and Su J.P. A new adaptive variable structure control for chaotic synchronization and secure communication. Chaos, Solitons & Fractals 20 (2004) 967-977
4. Pecora L.M., Carroll T.L., Johnson G.A., Mar D.J., and Heagy J.F. Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos 7 (1997) 520-543
5. Sun J. Some global synchronization criteria for coupled delay-systems via unidirectional linear error feedback approach. Chaos, Solitons & Fractals 19 (2004) 789-794
6. Lu J., and Cao J. Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Chaos 15 (2005) 043901
7. Grassi G., and Mascolo S. Synchronizing hyperchaotic systems by observer design. IEEE Trans Circuit Syst I 46 4 (1999) 478-483
8. Li C., and Liao X. Complete and lag synchronization of hyperchaotic systems using small impulses. Chaos, Solitons & Fractals 22 (2004) 857-867
9. Cafagna D, Grassi G. Synchronizing hyperchaos using a scalar signal: a unified framework for systems with one or several nonlinearities. In: Asia-Pacific Conference on Circuit and Systems APCCAS'02, vols. 28-31; 2002. p. 575-80.
10. Grassi G., and Miller D.A. Experimental realization of observer-based hyperchaos synchronization. IEEE Trans Circuit Syst I 48 3 (2001) 366-374
11. Tamasevicius A., Cenys A., Mykolaitis G., Namajunas A., and Lindberg E. Synchronization of hyperchaotic oscillators. Electron Lett 33 (1997) 2025-2026
12. Huang X., and Cao J. Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme. Nonlinearity 19 12 (2006) 2797-2811
13. Cao J., and Lu J. Adaptive synchronization of neural networks with or without time-varying delays. Chaos 16 (2006) 013133
14. Cao J., Li P., and Wang W. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys Lett A 353 4 (2006) 318-325
15. Li P., Cao J., and Wang Z. Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Physica A 373 (2007) 261-272
16. Li C., and Liao X. Impulsive synchronization of nonlinear coupled chaotic systems. Phys Lett A 328 (2004) 47-50
17. Chen D., Sun J., and Huang C. Impulsive control and synchronization of general chaotic system. Chaos, Solitons & Fractals 28 (2006) 213-218
18. Itoh M., Yang T., and Chua L.O. Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Int J Bifurcat Chaos 11 (2001) 551
19. Stojanovski T., Kocarev L., Parlitz U., and Harris R. Sporadic driving of dynamical systems. Phys Rev E 55 4 (1997) 4035-4048
20. Parlitz U., Kocarev L., Stojanovski T., and Junge L. Chaos synchronization using sporadic driving. Physica D 109 (1997) 139-152
21. 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 Circuit Syst I 48 11 (2001) 1351-1355
22. Wang Y., Guan Z., and Xiao J. Impulsive control for synchronization of a class of continuous systems. Chaos 14 (2004) 199-203
23. Yang T., Yang L.B., and Yang C.M. Impulsive control of Lorenz system. Physica D 110 (1997) 18-24
24. Yang T., and Chua L.O. Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuit Syst I: Fundam Theory Appl 44 (1997) 976-988
25. Xie W., Wen C., and Li Z. Impulsive control for the stabilization and synchronization of Lorenz systems. Phys Lett A 275 (2000) 67-72
26. Ren Q., and Zhao J. Impulsive synchronization of coupled chaotic systems via adaptive feedback approach. Phys Lett A 355 (2006) 342-347