变时滞高阶Hopfield神经网络的全局指数稳定性

Global Exponential Stability of High-order Cellular Neural Networks with Time-varying Delays

文章首先利用Brouwer不动点定理得到了平衡点存在性的充分条件,然后利用不等式分析技巧得到平衡点的唯一性及全局指数稳定性的一个新的判据.

This paper studies the existence and global exponential stability of equilibrium for high-order neural networks with time-varying delays. First, by using Brouwer＇s fixed point theorem, we presented some sufficient conditions for checking the existence of equilibrium. Later, by using the inequality analysis technique, we obtained a new criterion on the unique and global stability of equilibrium.