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含扩散项时滞模糊Cohen-Grossberg神经网络的指数稳定性
引用本文:周杰.含扩散项时滞模糊Cohen-Grossberg神经网络的指数稳定性[J].四川轻化工学院学报,2010(3):270-274.
作者姓名:周杰
作者单位:四川理工学院理学院,四川自贡643000
基金项目:四川理工学院2008年人才引进项目(2008RCYJ10)
摘    要:文章讨论了一类含扩散项的混合时滞模糊Cohen-Grossberg神经网络,通过一些基本分析手段和不等式技巧,得到了平衡点的唯一性和全局指数稳定性的充分条件,通过实例模型验证了指数稳定性。

关 键 词:时滞  扩散  Cohen-Grossberg  指数稳定性

Exponential Stability of Fuzzy Cohen-Grossberg Neural Networks with Mixed Delays and Reaction-diffusion
ZHOU Jie.Exponential Stability of Fuzzy Cohen-Grossberg Neural Networks with Mixed Delays and Reaction-diffusion[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2010(3):270-274.
Authors:ZHOU Jie
Affiliation:ZHOU Jie(School of Science,Sichuan University of Science & Engineering,Zigong 643000,China)
Abstract:A fuzzy Cohen-Grossberg neural networks with mixed delays and reaction-diffusion are discussed.By some inequality techniques,the uniqueness of equilibrium point of fuzzy Cohen-Grossberg neural networks with mixed delays and reaction-diffusion is proved.Then,a sufficient condition is given to ensure the global exponential stability of the equilibrium point for this model.An example was also worked out to demonstrate the application of our result.
Keywords:time delays  reaction-diffusion  Cohen-Grossberg  exponential stability
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