随机分布参数型Hopfield时滞神经网络的稳定性

Stability of Distributed Parameter Type Stochastic Hopfield Neural Network with Time Delay

基于随机Fubini定理,利用关于空间变量平均的Lyapunov函数与Ito公式,研究了具时滞的分布参数型随机Hopfield神经网络的稳定性与镇定,获得了若干充分条件．

This paper investigates the stability and stabilization of stochastic delay Hopfield neural networks with distributed parameters. The theoretical basement is the combination of stochastic Fubini Theorem. Averaging Lyapunov function with respect to the spatial variables and ItO formula are employed. Some sufficient conditions are obtained.