Stability analysis of reaction-diffusion Cohen-Grossberg neural networks under impulsive control

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• 作者：Jin-Liang WangAuthor Vitae ; Huai-Ning Wu ; ^{whn@buaa.edu.cn}Author Vitae ; Lei GuoAuthor Vitae
• 关键词：Cohen&ndash ; Grossberg neural networks ; Reaction&ndash ; diffusion ; Global exponential stability ; Impulsive control
• 刊名：Neurocomputing
• 出版年：2013
• 出版时间：15 April, 2013
• 年：2013
• 卷：106
• 期：Complete
• 页码：21-30
• 全文大小：569 K

文摘

The impulsive control method is developed to stabilize a class of Cohen-Grossberg neural networks (CGNNs) with reaction-diffusion terms and Dirichlet boundary conditions. With the help of Lyapunov functionals, impulsive delay differential inequality and comparison principle, some sufficient conditions ensuring global exponential stability (GES) of equilibrium point are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, time delays and impulsive interval. Numerical simulations are presented finally to demonstrate the effectiveness of proposed results.