Global exponential stability for a class of generalized delayed neural networks with impulses

被引：6
|
作者：
Xi, Qiang [1 ]
机构：
[1] Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 11期
关键词：
global exponential stability; generalized neural networks; equilibrium; impulses; delays; TIME-VARYING DELAYS; ASYMPTOTIC STABILITY; PERIODIC-SOLUTION; CRITERIA; EXISTENCE; SYSTEMS;
D O I：
10.1002/mma.1451
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by utilizing Lyapunov functional method, the quality of negative definite matrix and the linear matrix inequality approach, the global exponential stability of the equilibrium point for a class of generalized delayed neural networks with impulses is investigated. A new criterion on global exponential stability is obtained. The result is related to the size of delays and impulses. An example is given to illustrate the effectiveness of our result. Copyright (C) 2011 John Wiley & Sons, Ltd.
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页码：1414 / 1420
页数：7
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