| 随机时滞反应扩散广义细胞神经网络的均值指数稳定性 |
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| 引用本文： | 周凤燕.随机时滞反应扩散广义细胞神经网络的均值指数稳定性[J].数学的实践与认识,2012,42(3):168-179. |
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| 作者姓名： | 周凤燕 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴,312000 |
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| 基金项目： | 浙江省教育厅科研计划项目，绍兴文理学院重点资助项目 |
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| 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.
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| 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 |
Exponential Stability of Stochastic Reaction-Diffusion General Cellular Neural Network with Time-Delays |
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| ZHOU Feng-yan.Exponential Stability of Stochastic Reaction-Diffusion General Cellular Neural Network with Time-Delays[J].Mathematics in Practice and Theory,2012,42(3):168-179. |
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| Authors: | ZHOU Feng-yan |
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| Institution: | ZHOU Feng-yan (Department of Mathematics,Shaoxing University,Shaoxing 312000,China) |
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| Abstract: | 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. |
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| Keywords: | general cellular neural network with time delay stochastic perturbation noise reaction-diffusion mean value exponential stability |
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