数学物理学报 ›› 2004, Vol. 4 ›› Issue (6): 694-698.

• 论文 • 上一篇    下一篇

时滞细胞神经网络的时滞相关指数稳定性

 张强, 马润年   

  1. 大连大学先进设计技术中心 大连 116622

    西安交通大学管理学院 西安 710049
  • 出版日期:2004-12-25 发布日期:2004-12-25

Delay dependent Stability of Cellular Neural Networks with Delays

 ZHANG Qiang, MA Run-Nian   

  • Online:2004-12-25 Published:2004-12-25

摘要:

应用Lyapunov泛函法研究了具有时滞的细胞神经网络(DCNNs)的平衡点的全局指数稳定性,获得了一个指数稳定性的判定准则。这个准则与时滞的大小有关,即DCNNs是指数稳定的只要系统所含时滞不超过一个界。

关键词: Lyapunov泛函法;具有时滞的细胞神经网络;全局指数稳定性.

Abstract:

A new sufficient condition which guarantees global exponential stability of the equilibrium point of cellular neural networks with delays is obtained by utilizing Lyapunov functional method. The condition presented here involves delays. Some existing results in the literature are included as the  special cases. An example is also given to show the efficiency of the method.

Key words: Global exponential stability, Cellular neural networks with delays, Lyapunov functional method.

中图分类号: 

  • 92B20