随机时滞反应扩散广义细胞神经网络的均值指数稳定性  

Exponential Stability of Stochastic Reaction-Diffusion General Cellular Neural Network with Time-Delays

作　　者：周凤燕[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《数学的实践与认识》2012年第3期168-179,共12页Mathematics in Practice and Theory

基　　金：浙江省教育厅科研计划项目(Y201019247;Y201018696;Y200805543);绍兴文理学院重点资助项目[08LG1002]

摘　　要：研究了一类反应扩散广义时滞细胞神经网络在噪声干扰下的指数稳定性.利用Ito公式,Holder不等式,M矩阵性质和微分不等式技巧,给出了系统均值指数稳定的充分条件,并且判断方法简单易操作.最后给出了主要定理的两个应用实例,表明结论的有效性.The exponential stability of a class of reaction-diffusion general cellular neural network with time delay and noise perturbation is studied. Using the Ito formula, Holder inequality, M-matric properties and a skill of differential inequality, some sufficient conditions are given to guarantee the mean value exponential stability of the equilibrium for the stochastic reaction-diffusion general cellular neural network with time delay and the sufficient conditions are easier to operate. In the end, two examples are given to illustrate the main theoretical results.

关 键 词：广义时滞细胞神经网络 随机扰动 噪声 反应扩散 均值指数稳定 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] O242.1[自动化与计算机技术—控制科学与工程]