多时滞神经网络的全局指数稳定性

Global Exponential Stability of Neural Networks with Multi-Delay

多时滞神经网络是一种特殊结构的动力系统 ,其全局指数稳定性在实际应用中起着非常重要的作用 .本文通过构建Lyapunov函数的方法 ,对一类一般多时滞神经网络的全局指数稳定进行了分析 ,得到了多时滞神经网络全局指数稳定性的几个充分条件 ,本文的结果涵盖并推广了最近文献的结论 。

The global exponential stability of multi-delay neural networks with a special structure dynamic system is very important on application. In this paper, the global exponential stability for a class of multi-delay neural networks is investigated by the method of constructing suitable Lyapunov functions. Some sufficient conditions on global exponential stability of multi-delay neural networks are obtained. The results of the paper contain and extend the conclusion of the article[l]. An numerical simulation is given to verify the validity of the results.