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Zbl 1239.93110
Gan, Qintao; Xu, Rui; Yang, Pinghua
Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1862-1870 (2012). ISSN 1007-5704

Summary: Separate studies have been published on the stability of fuzzy cellular neural networks with time delay in the leakage term and synchronization issue of coupled chaotic neural networks with stochastic perturbation and reaction-diffusion effects. However, no studies that integrate the two fields are existing. Motivated by the achievements from both fields, this paper considers the exponential synchronization problem of coupled chaotic fuzzy cellular neural networks with stochastic noise perturbation, time delay in the leakage term and reaction-diffusion effects using linear feedback control. The Lyapunov stability theory combining with stochastic analysis approaches are employed to derive sufficient criteria ensuring the coupled chaotic fuzzy neural networks to be exponentially synchronized. This paper also presents an illustrative example and uses simulated results of this example to show the feasibility and effectiveness of the proposed scheme.

MSC 2000:: *93E03 General theory of stochastic systems
93C42 Fuzzy control
93C73 Perturbations in control systems
60H10 Stochastic ordinary differential equations

Keywords: synchronization; fuzzy cellular neural networks; reaction-diffusion; stochastic perturbation; leakage delay

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