具有反应扩散项和脉冲的随机模糊Cohen-Grossberg神经网络的指数同步

Exponential synchronization of stochastic fuzzy Cohen-Grossberg neural networks with reaction diffusion term and impulsive effect

  • 摘要: 研究了具有随机扰动项和反应扩散效应的脉冲模糊Cohen-Grossberg型神经网络的指数同步问题: 通过李雅普诺夫泛函理论、随机微分方程理论、\rm It\hato^'公式和不等式方法, 基于p-范数下得到了该神经网络模型指数同步的新的充分条件, 并发现随机扰动项的存在对该神经网络模型同步有抑制作用,而反应扩散项的存在对该神经网络模型同步有促进作用.

     

    Abstract: The exponential synchronization of stochastic fuzzy Cohen-Grossberg neural networks with reaction diffusion term and impulsive effect is investigated. Using Lyapunov functional theory, stochastic differential equation theory, \rm It\hato^'formula and inequality methods, some new sufficient conditions for the addressed neural network model is obtained based on the p-norm. It is also found that the existence of the stochastic perturbation term can restrain the synchronization of the addressed neural network model. However, the existence of the reaction diffusion term can promote the synchronization of the addressed neural network model.

     

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