Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 9-10, 2009, Pages 3645-3659

  Xia, Yonghui ^a   Yang, Zijiang ^b   Han, Maoan ^c  

^a ZHEJIANG NORMAL UNIVERSITY   (China)

^b YORK UNIVERSITY   (Canada)

^c SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Delays; Fuzzy; Neural networks; Synchronization

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CELLULAR NEURAL NETWORKS; DIFFERENTIAL EQUATIONS; FUZZY INFERENCE; FUZZY NEURAL NETWORKS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

ADAPTIVE CONTROLLERS; ADAPTIVE PROCEDURE; CONDITION; DELAY; FUZZY; FUZZY CELLULAR NEURAL NETWORKS; NEURAL-NETWORKS; SIMPLE ADAPTIVE; SYNCHRONIZATION SCHEME; TIME-VARYING DELAY;

SYNCHRONIZATION;

EID: 63449119883     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.01.028     Document Type: Article

References (34)

1. Chua L.O., and Yang L. Cellular neural networks: applications. IEEE Trans Circ Syst 35 (1988) 1273-1290
2. Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci 81 (1984) 3088-3092
3. Cao J. Global stability conditions for delayed CNNs. IEEE Trans Circ Syst I 48 (2001) 1330-1333
4. Cao J., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans Circ Syst I 52 (2005) 920-931
5. Xia Y.H., Cao J., and Lin M. New results on the existence and uniqueness of almost periodic solutions for BAM neural networks with continuously distributed delays. Chaos, Solitons & Fractals 31 (2007) 928-936
6. Xia Y.H., Cao J., and Huang Z. Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses. Chaos, Solitons & Fractals 34 (2007) 1599-1607
7. Xia Y.H., Cao J., and Cheng S.S. Global exponential stability of delayed cellular neural networks with impulses. Neurocomputing 70 (2007) 2495-2501
8. Yang T., and Yang L.B. The global stability of fuzzy cellular neural networks. IEEE Trans Circ Syst I 43 (1996) 880-883
9. Yang T., and Yang L.B. Application of fuzzy cellular neural network to morphological grey-scale reconstruction. Int Circ Theory Appl 25 (1997) 153C165
10. Yang T., and Yang L.B. Application of fuzzy cellular neural networks to Euclidean distance transformation. IEEE Trans Circ Syst I 44 (1997) 242-246
11. Liu Y., and Tang W. Exponential stability of fuzzy neural networks with constant and time-varying delays. Phys Lett A 323 (2004) 224-233
12. Yuan K., Cao J., and Deng J. Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing 69 (2006) 1619-1627
13. Song Q., and Cao J. Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays. IEEE Trans Syst Man Cybernet B 37 (2007) 733-741
14. Zou F., and Nossek J.A. Bifurcation and chaos in cellular neural networks. IEEE Trans Circ Syst I 40 (1993) 166-173
15. Lu H.T. Chaotic attractors in delayed neural networks. Phys Lett A 298 (2002) 109-116
16. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
17. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys Rev Lett 64 (1990) 1196-1199
18. Cao J, Lu J. Adaptive synchronization of neural networks with or without time-varying delays. Chaos 2006;16, art. no. 013133.
19. Huang X., and Cao J. Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme. Nonlinearity 19 (2006) 2797-2811
20. Sun Y., and Cao J. Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. Phys Lett A 364 (2007) 277-285
21. Chen G., Zhou J., and Liu Z. Global synchronization of coupled delayed neural networks and applications to chaotic CNN model. Int J Bifurc Chaos 14 (2004) 2229-2240
22. Zhou J., and Chen T. Synchronization in general complex delayed dynamical networks. IEEE Trans Circ Syst I 53 (2006) 733-744
23. Wu C.W. Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems. Phys Lett A 319 (2003) 495-503
24. Hale J.K. Theory of functional differential equations (1977), Springer, Berlin
25. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia
26. Wu H., and Xue X. Stability analysis for neural networks with inverse Lipschitzian neuron activations and impulses. Appl Math Model 32 (2008) 2347-2359
27. Wu H., Sun J., and Zhong X. Analysis of dynamical behaviour for delayed neural networks with inverse Lipschitzian neuron activations and impulses. Int J Innovative Comput Inform Control 4 (2008) 705-715
28. Singh V. Robust stability of cellular neural networks with delay: linear matrix inequality approach. IEE Proc Contr Theory Appl 151 (2004) 125-129
29. Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Trans Circ Syst II 52 (2005) 33-36
30. Singh V. On global robust stability of interval Hopfield neural networks with delay. Chaos, Solitons & Fractals 33 (2007) 1183-1188
31. Huang Z.T., Yang Q.G., and Luo X. Exponential stability of impulsive neural networks with time-varying delays. Chaos, Solitons & Fractals 35 (2008) 770-780
32. Ding W., et al. Synchronization of fuzzy cellular neural networks based on adaptive control. Phys Lett A 372 (2008) 4674-4681
33. Arik S., and Tavsanoglu V. Equilibrium analysis of delayed CNN's. IEEE Trans Circ Syst I 45 (1998) 168-171
34. Arik S. Global asymptotic stability of a larger class of neural networks with constant time delays. Phys Lett A 311 (2003) 504-511