含反应扩散项和混合时滞的随机Hopfield神经网络的时滞相关全局指数稳定性分析

摘要

In this paper, the stability of stochastic Hopfield neural networks model with diffusion and mixed delays is studied. By constructing Lyapunov functional and using inequality techniques, some delay-dependent stability conditions are obtained. The results derived in the paper improve and generalize some earlier works reported in the lierature. An example is given to illustrate the effectiveness of the results.%研究一类含反应扩散项和混合时滞的随机Hopfield神经网络的稳定性,通过构造恰当的Lyapunov泛函和运用不等式分析得到了该网络平凡解时滞相关的全局均方指数稳定性条件,推广了已有的结果.利用一个例子,说明结果的有效性.