|
|||||
|
|
| 具分布时滞的广义Cohen-Grossberg神经网络的指数稳定性 | |
| 引用本文： | 华玉春,刘兴桂,李永昆. 具分布时滞的广义Cohen-Grossberg神经网络的指数稳定性[J]. 云南大学学报(自然科学版), 2010, 32(1): 12-17 |
| 作者姓名： | 华玉春 刘兴桂 李永昆 |
| 作者单位： | 1. 云南大学数学系, 云南昆明 650091; 2. 云南农业大学应用数学系, 云南昆明 650201 |
| 摘 要： | 研究了具分布时滞的广义Cohen-Grossberg神经网络的动态性质.运用非线性测度和构造Lyapunov函数,获得了神经网络系统存在唯一平衡点且平衡点全局指数稳定的一个充分条件.这个条件与时滞无关.最后,给出了一个实例说明所得结论的有效性. |
| 关 键 词： | 广义Cohen-Grossberg神经网络 分布时滞 Lyapunov函数 全局指数稳定性 |
| 收稿时间： | 2008-11-12 |
Exponential stability of generalized Cohen-Grossberg neural networks with distributed delays |
|
| HUA Yu-chun,LIU Xin-gui,LI Yong-kun. Exponential stability of generalized Cohen-Grossberg neural networks with distributed delays[J]. Journal of Yunnan University(Natural Sciences), 2010, 32(1): 12-17 | |
| Authors: | HUA Yu-chun LIU Xin-gui LI Yong-kun |
| Affiliation: | 1. Department of Mathematics, Yunnan University, Kunming 650091, China; 2. Department of Applied Mathematics, Yunnan Agriculture University, Kunming 650201, China |
| Abstract: | The dynamics is studied for generalized Cohen-Grossberg neural networks with distributed delays.By means of the nonlinear measure approach and constructing a Lyapunov function,a sufficient condition is obtained for the existence anduniqueness of an equilibrium point of this equations,which of the equilibrium point is global exponential stability.This condition is independent of the delays.Finally,an illustrative examples is given to show the effectiveness of the presented criteria. |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 | |
| 点击此处可从《云南大学学报(自然科学版)》下载全文 | |