Synchronization for delayed non-autonomous reaction-diffusion fuzzy cellular neural networks

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 1, 2012, Pages 170-182

  Wang, Linghai ^a   Ding, Wei ^a  

^a SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Adaptive control; Dirichlet boundary conditions; Fuzzy cellular neural networks; Reaction diffusion; Synchronization

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; BOUNDARY CONDITIONS; CELLULAR NEURAL NETWORKS; DIFFUSION IN LIQUIDS; FUZZY INFERENCE; FUZZY NEURAL NETWORKS;

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; ASYMPTOTIC BEHAVIOUR; CONDITION; DIRICHLET BOUNDARY CONDITION; FUZZY CELLULAR NEURAL NETWORKS; NONAUTONOMOUS; REACTION-DIFFUSION; SIMPLE ADAPTIVE; SYNCHRONIZATION SCHEME;

SYNCHRONIZATION;

EID: 79961027867     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.02.019     Document Type: Article

References (22)

1. Lorenz E.N. Deterministic nonperiodic flow. J Atmos Sci 1963, 20:130-141.
2. Carrol L.M., Pecora TL. Synchronization in chaotic systems. Phys Rev Lett 1990, 64:821-823.
3. Liu B., Chen G., Teo K.L., Liu X. Robust global exponential synchronization of general Lure chaotic systems subject to impulsive disturbances and time delays. Chaos Solitons Fract 2005, 23(5):1629-1641.
4. Liao X., Yu P. Analysis on the global exponent synchronization of Chuas circuit using absolute stability theory. Int J Bifur Chaos 2005, 15(12):3687-3881.
5. Jiang G., Zheng W., Tang W.K.S., Chen G.R. Integral observer approach for chaos synchronization with transmission disturbances. Int Symp Circ Syst 2005, 6:6038-6041.
6. Cao, J., Lu, J. Adaptive synchronization of neural networks with or without time-varying delays. Chaos 2006;16, art. no. 013133.
7. Huang X., Cao J. Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme. Nonlinearity 2006, 19:2797-2811.
8. Sun Y., Cao J. Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. Phys Lett A 2007, 364:277-285.
9. Liu P., Yi F., Guo Q., Yang J., Wu W. Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays. Physica D 2008, 237:475-485.
10. Lou X., Cui B., Wu W. On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction-diffusion terms. Chaos Solitons Fract 2008, 36:1044-1054.
11. Lu J. Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos Solitions Fract 2008, 35:116-125.
12. Song Q., Cao J. Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos Solitons Fract 2005, 23:421-430.
13. Song Q., Cao J. Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms. J Frank Inst 2006, 343:705-719.
14. Song Q., Zhao Z., Li Y. Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms. Phys Lett A 2005, 335:213-225.
15. Wang L., Gao Y. Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays. Phys Lett A 2006, 350:342-348.
16. Li S., Yang H., Lou X. Adaptive exponential synchronization of delayed neural networks with reaction-diffusion terms. Chaos Solitons Fract 2009, 40:930-939.
17. Lou X., Cui B. Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays. Comput Math Appl 2006, 52:897-904.
18. Wang Y., Cao J. Synchronization of a class of delayed neural networks with reaction-diffusion terms. Phys Lett A 2007, 369:201-211.
19. Yang T., Yang LB. The global stability of fuzzy cellular neural networks. IEEE Trans Circ Syst I 1996, 43:880-883.
20. Lu J.G. Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions. Chaos Solitons Fract 2009, 39(4):1538-1549.
21. Hopfield JJ. Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci 1984, 81:3088-3092.
22. Xiaoyi Fu, Wei Ding, Synchronization of reaction-diffusion delayed non-autonomous Fuzzy Cellular Neural Networks, 2009, in: 2nd International Conference on Biomedical Engineering and Informatics, 2009, pp. 2240-2244.