随机细胞神经网络平衡点均方指数稳定性分析  

Analysis of Stability for Equilibriumpoint Mean Square Exponential in Stochestic Celluler Neural Networks

作　　者：李毓[1] 

机构地区：[1]信阳师范学院经济与管理学院,信阳464000

出　　处：《模式识别与人工智能》2010年第3期357-361,共5页Pattern Recognition and Artificial Intelligence

基　　金：教育部人文社会科学研究规划基金资助项目(No.09YJA790174)

摘　　要：主要利用Lyapunov泛函方法研究带脉冲的随机时滞神经网络平衡点的均方指数稳定性.主要借助于不等式,随机分析理论给出主要结果.最后给出一数值算例证明结果的有效性.The mean square exponential stability research on equilibriumpoint of stochastic delay cellular neural networks with pulse is mainly concerned by utilizing Lyapurov function. The primary theorems are deduced majorly by virtue of inequality and stochastic analysis theory. Finally one numerical example is presented to demonstrate its validity.

关 键 词：细胞神经网络 BROWNIAN运动 It公式 LYAPUNOV泛函方法 随机指数稳定性 

分 类 号：O175.13[理学—数学] O175.14[理学—基础数学]