控制理论与应用2005，Vol.22Issue(2)：196-200,5.
具分布参数的随机Hopfield神经网络的指数稳定
Exponential stability of stochastic Hopfield neural networks with distributed parameters
摘要
Abstract
Based on stochastic Fubini theorem,the Hopfield neural network system depicted by a stochastic partial differential equation is translated into a stochastic ordinary differential equation. By constructing a mean Lyapunov function with respect to the space variables and using Ito formula under the integral operators, the exponential stability of stochastic neutral systems with distributed parameters is investigated by deviating of the function along the trajectories of the systems. Also, the Lyapunov exponent estimate is obtained. Thus, the stability of stochastic systems with distributed parameters is studied by Lyapunov direct method.关键词
Hopfield神经网络/分布参数/Lyapunov函数Key words
Hopfield neural networks/distributed parameter/Lyapunov function分类
信息技术与安全科学引用本文复制引用
邓飞其,赵碧蓉,罗琦..具分布参数的随机Hopfield神经网络的指数稳定[J].控制理论与应用,2005,22(2):196-200,5.基金项目
Supported by the National Natural Science Foundation of China(60374023 ) （60374023 ）
Guangdong Province Natural Science Foundation (011629 ). （011629 ）
