A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays

LUO Yi-ping; XIA Wen-hua; LIU Guo-rong; DENG Fei-qi

您当前的位置：

首页 >

文章列表页 >

A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays

更新时间：2025-07-16

- A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
- Acta Electronica Sinica Vol. 36, Issue 4, Pages: 609-613(2008)
- 作者机构：
  
  1. 湖南工程学院,湖南,湘潭,411101
  2. 华南理工大学系统工程研究所,广东,广州,510640
  3. 湖南工程学院湖南湘潭,411101
  4. 华南理工大学系统工程研究所广东广州,510640
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published Online：25 April 2008，
  
  Published：2008
- 稿件说明：
移动端阅览
LUO Yi-ping, XIA Wen-hua, LIU Guo-rong, et al. A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays[J]. Acta Electronica Sinica, 2008, 36(4): 609-613.
DOI：

LUO Yi-ping, XIA Wen-hua, LIU Guo-rong, et al. A New Criterion on the Global Exponential Stability for Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays[J]. Acta Electronica Sinica, 2008, 36(4): 609-613. DOI：

摘要

针对一类具反应扩散项的变时滞细胞神经网络模型

利用Poincare不等式与Hanalay不等式等知识

获得了该系统的指数稳定性条件

该稳定性条件包含了扩散算子项

与以往结果比较

获得的指数稳定性条件更强

且降低了已有结论的保守性.最后

通过实例说明该方法的有效性.

Abstract

Based on extended Hanalay inequality

the exponential asymptotic stability for a class of cellular neural networks with delays and reaction-diffusion terms is investigated by using Poincare inequality. The obtained criteria have a distinguished feature from previous studies

and our results contain diffusion operator terms. The new results are less conservative than the existing ones. Finally

an illustrative example is give to verify the effectiveness of the method.

关键词

Keywords

references

Views

943

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Exponential Stability of Stochastic Cellular Neural Networks

Design of a VLSI Implementation Oriented Off Line Handwritten Digit Classification System

Related Author

SHEN Yi

ZHANG Yu-min

LIAO Xiao-xin

XIAO Dong-mei

LIU Chang-shu

LIU Feng

Xie Xue-zhi

Related Institution

Department of Control Science and Engineering,HUST

Department of Control Science and Engineering,Huazhong University of Science and Technology

Department of Mathematics,Huazhong Normal University

Department of Control Science and EngineeringHuazhong University of Science and Technology Wuhan 430074China

Department of MathematicsHuazhong Normal UniversityWuhan 430074China

⁰