Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms

Chaos, Solitons and Fractals

Volumn 40, Issue 2, 2009, Pages 930-939

  Sheng, Li ^a   Yang, Huizhong ^a   Lou, Xuyang ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; DIFFUSION IN LIQUIDS; SYNCHRONIZATION;

ADAPTIVE EXPONENTIAL SYNCHRONIZATIONS; ADAPTIVE SYNCHRONIZATIONS; DELAYED NEURAL NETWORKS; DISTRIBUTED DELAYS; EXPONENTIAL SYNCHRONIZATION; LYAPUNOV STABILITY THEORY; PARAMETERS UNKNOWN; REACTION-DIFFUSION TERMS;

NEURAL NETWORKS;

EID: 64949086912     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.08.047     Document Type: Article

References (32)

1. Pecora L.M., and Carrol T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-823
2. Pecora L.M., Carrol T.L., and Johnson G.A. Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos 7 4 (1998) 520-543
3. Liu B., Liu X., Chen G., and Wang H. Robust impulsive synchronization of uncertain dynamical networks. IEEE Trans Circuits Syst I 52 (2005) 1431-1441
4. Khadra A., Liu X., and Shen X. Impulsively synchronizing chaotic systems with delay and applications to secure communication. Automatica 41 (2005) 1491-1502
5. Wang Y., Guan Z., and Xiao J. Impulsive control for synchronization of a class of continuous systems. Chaos 14 (2004) 199-203
6. Hu J., Chen S., and Chen L. Adaptive control for anti-synchronization of chua's chaotic system. Phys Lett A 339 (2005) 455-460
7. Sun Y., and Cao J. Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. Phys Lett A 364 (2007) 277-285
8. Xiong W., Xie W., and Cao J. Adaptive exponential synchronization of delayed chaotic networks. Physica A 370 (2006) 832-842
9. Sun J. Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control. Chaos, Solitons & Fractals 21 (2004) 143-150
10. Cheng C., Liao T., Yan J., and Hwang C. Exponential synchronization of a class of neural networks with time-varying delays. IEEE Tran. Syst Man Cybern Part B: Cybern 36 1 (2006) 209-215
11. Cao J., Li H., and Daniel W. Synchronization criteria of Lure systems with time-delay feedback control. Chaos, Solitons & Fractals 23 4 (2005) 1285-1298
12. Park J. A novel criterion for delayed feedback control of time-delay chaotic systems. Chaos, Solitons & Fractals 23 2 (2005) 495-501
13. Lou X., and Cui B. Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters. J Math Anal Appl 328 (2007) 316-326
14. Zou F., and Nossek J.A. Bifurcation and chaos in cellular neural networks. IEEE Trans Circuit Syst I 40 3 (1993) 166-173
15. Gilli M. Strange attractors in delayed cellular neural networks. IEEE Trans Circuit Syst I 40 11 (1993) 849-853
16. Lou X., and Cui B. Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays. IEEE Trans Syst Man Cybernet - Part B 37 3 (2007) 713-719
17. Lu H.T. Chaotic attractors in delayed neural networks. Phys Lett A 298 (2002) 109-116
18. Lou X., and Cui B. Absolute exponential stability analysis of delayed bi-directional associative memory neural networks. Chaos, Solitons & Fractals 31 3 (2007) 695-701
19. Chen G., Zhou J., and Liu Z. Global synchronization of coupled delayed neural networks with application to chaotic CNN models. Int J Bifurcat Chaos 14 (2004) 2229-2240
20. Lu W., and Chen T. Synchronization of coupled connected neural networks with delays. IEEE Trans Circuit Syst I 51 (2004) 2491-2503
21. Lu H.T., and Van Leeuwen C. Synchronization of chaotic neural networks via output or state coupling. Chaos, Solitons & Fractals 30 (2006) 166-176
22. Wang Y., and Cao J. Synchronization of a class of delayed neural networks with reaction-diffusion terms. Phys Lett A 369 3 (2007) 201-211
23. Song Q.K., Zhao Z.J., and Li Y.M. Global exponential stability of BAM with distributed delays and reaction-diffusion terms. Phys Lett A 335 (2005) 213-225
24. Lou X., and Cui B. Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms. Chaos, Solitons & Fractals 33 2 (2007) 653-662
25. Yuan K., Cao J., and Li H. Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Trans Syst Man Cybernet - Part B 36 6 (2006) 1356-1363
26. Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Phys Lett A 345 4-6 (2005) 299-308
27. Chen S.H., Hu J., Wang C.P., and Lü J.H. Adaptive synchronization of uncertain Rössler hyperchaotic system based on parameter identification. Phys Lett A 321 (2004) 50-55
28. Huang D.B. Synchronization-based estimation of all parameters of chaotic systems from time series. Phys Rev E 69 (2004) 067201
29. Zhou J., Chen T., and Xiang L. Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos, Solitons & Fractals 27 (2006) 905-913
30. Zhou F., and Nossek J. Bifurcation and chaos in cellular neural networks. IEEE Trans Circuit Syst I 40 3 (1993) 166-173
31. Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys Lett A 307 (2003) 136-147
32. Kuang Y. Delay differential equations with application in population dynamics (1993), Academic Press Inc., New York