Complete synchronization for impulsive Cohen-Grossberg neural networks with delay under noise perturbation

Chaos, Solitons and Fractals

Volumn 42, Issue 3, 2009, Pages 1664-1669

  Chen, Zhang ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

STOCHASTIC SYSTEMS; SYNCHRONIZATION;

COHEN-GROSSBERG NEURAL NETWORKS; COMPLETE SYNCHRONIZATION; HALANAY INEQUALITY; NOISE PERTURBATION;

NEURAL NETWORKS;

EID: 67650439215     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.063     Document Type: Article

References (20)

1. Hopfield J. Neural networks and physical systems with emergent collective computational abilities. Proc Nat Acad Sci USA 79 (1982) 2554-2558
2. Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybernet 13 (1983) 815-821
3. Haydar A., Rajai A., Valery C., Zlatinka C., and Eada A.-Z. Continuous-time additive Hopfield-type neural networks with impulses. J Math Anal Appl 290 (2004) 436-451
4. Chen Z., and Ruan J. Global stability analysis of impulsive Cohen-Grossberg neural networks with delay. Phys Lett A 345 (2005) 101-111
5. Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos, Solitons and Fractals 24 (2005) 279-285
6. Yang Z.G., Xu D.Y., and Xiang L. Exponential p-stability of impulsive stochastic differential equations with delays. Phys Lett A 359 (2006) 129-137
7. Chen Z., and Ruan J. Global dynamic analysis of general Cohen-Grossberg neural networks with impulse. Chaos, Solitons and Fractals 32 5 (2007) 1830-1837
8. Mohamad S., Gopalsamy K., and Haydar A. Exponential stability of artificial neural networks with distributed delays and large impulses. Nonlinear Anal Real World Appl 9 (2008) 872-888
9. Song Q.K., and Zhang J.Y. Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Nonlinear Anal Real World Appl 9 (2008) 500-510
10. Chen G.R., Zhou J., and Liu Z.R. Global synchronization of coupled delayed neural networks and applications to chaotic CNN model. Int J Bifur Chaos 14 7 (2004) 2229-2240
11. Lu W.L., and Chen T.P. Synchronization of coupled connected neural networks with delays. IEEE Trans Circuits Syst I 51 12 (2004) 2491-2503
12. Cao J.D., Li P., and Wang W.W. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys Lett A 353 4 (2006) 318-325
13. Li P., Cao J.D., and Wang Z.D. Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Physica A 373 (2007) 261-272
14. Zhang G., Liu Z.R., and Ma Z.J. Synchronization of complex dynamical networks via impulsive control. Chaos 17 (2007) 043126
15. Zhou J., Xiang L., and Liu Z.R. Synchronization in complex delayed dynamical networks with impulsive effects. Physica A 384 (2007) 684-692
16. Lin W., and He Y.B. Complete synchronization of the noise-perturbed Chua's circuits. Chaos 15 (2005) 023705
17. Chen Z., Lin W., and Zhou J. Complete and generalized synchronization in a class of noise perturbed chaotic systems. Chaos 17 (2007) 023106
18. Sun Y.H., Cao J.D., and Wang Z.D. Exponential synchronization of stochastic perturbed chaotic delayed neural networks. Neurocomputing 70 (2007) 2477-2485
19. Mao X.R. Stochastic differential equations and applications (1997), English, Horwood
20. Gopalsamy K. Stability and oscillations in delay differential equations of population dynamics (1992), Kluwer, Dordrecht