一类具有时滞的神经网络的稳定性分析

Stability Analysis of Time-delay Hopfield Neural Networks

对具有广泛应用价值的时滞Ｈｏｐｆｉｅｌｄ神经网络系统，建立了系统平衡点存在唯一的充要条件，利用常数交易法并结合不等式分析技巧讨论了神经网络模型的全局指数稳定性，获得了系统的平衡点全局指数稳定的充分条件。

This paper studies time-delay neural networks, and establishes the necessary and sufficient condition for the existence and unique of the nerwork's equilibrium point. According to the matrix theory, the method of variations of the parameters and the method of inequality analysis, the sufficient conditions of globally exponential stability of time-delay Hopfield neural networks is established.