文章基本信息

标题：Stability analysis for stochastic Cohen-Grossberg neural network with distributed delays and reaction diffusion terms
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作者：Kun Hu, Qiankun Song
期刊名称：International Journal of Computer Science and Network Security
印刷版ISSN：1738-7906
出版年度：2008
卷号：8
期号：7
页码：144-152
出版社：International Journal of Computer Science and Network Security
摘要：This paper mainly deals with the almost surely exponential stability and exponential p-th moment stability for a class of stochastic Cohen?Grossberg neural networks with distributed delays and reaction?diffusion term. By constructing suitable Lyapunov functional, employing the nonnegative semi-martingale convergence theorem and applying matrix theory and stochastic analysis technique, two delay-independent and easily verifiable sufficient conditions are obtained to ensure the existence, uniqueness, almost surely exponential stability and exponential p-th moment stability of the equilibrium point for the addressed stochastic Cohen-Grossberg neural network with distributed delays and reaction-diffusion terms.
关键词：Cohen?Grossberg neural network; almost surely exponential stability; exponential p-th moment stability.