Exponential stability of Cohen-Grossberg neural networks with delays and impulses

被引：0

作者：

Tang, Qing ^{[1
]}

Liu, Anping ^{[1
]}

Li, Huijuan ^{[2
]}

Zou, Min ^{[2
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[2] China Univ Geosci, State Key Lab Geol Proc & Mineral Resources, Beijing, Peoples R China

来源：

2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL II, PROCEEDINGS | 2009年

基金：

中国国家自然科学基金;

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; TIME-VARYING DELAYS; ASYMPTOTIC STABILITY;

D O I：

10.1109/AICI.2009.379

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

As an important tool to study practical problems of biology, engineering and image processing, the neural networks has caused more and more attention. Some interesting results on the stability have been obtained. In this paper, the exponential stability of the equilibrium point of a group of Cohen-Grossberg neural networks is obtained by using Lyapunov method and Razumikhin technique.

引用

页码：535 / +

页数：2

共 12 条

[1] Global exponential stability for impulsive cellular neural networks with time-varying delays
Ahmad, Shair
Stamova, Ivanka M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (03) : 786 - 795
[2] Bainov D., 1993, IMPULSIVE DIFFERENTI, DOI [10.1201/9780203751206, DOI 10.1201/9780203751206]
[3] Asymptotic stability for impulsive functional differential equation
Chen, Fulai
Wen, Xianzhang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) : 1149 - 1160
[4] STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS
GOPALSAMY, K
HE, XZ
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) : 344 - 358
[5] On global asymptotic stability of recurrent neural networks with time-varying delays
Huang, H
Cao, JD
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (01) : 143 - 154
[6] Lakshmikantham V., 1989, World scientific, V6
[7] Exponential stability of Cohen-Grossberg neural networks with delays
Liao, Xiaofeng
Yang, Jiyun
Guo, Songtao
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) : 1767 - 1775
[8] LIU AP, 2007, J BIOMATHEMATICS, V22, P872
[9] Stability of functional differential equations with impulses
Liu, Kaien
Fu, Xilin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) : 830 - 841
[10] RAZUMIKHIN BS, 1988, STABILITY SYSTEMS RE

← 1 2 →