Improved stability criteria for a class of neural networks with variable delays and impulsive perturbations

被引：17
|
作者：
Yang, Chang-Bo [1 ,2 ]
Huang, Ting-Zhu [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Kunming Univ, Inst Nonlinear Anal, Kunming 650214, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷
关键词：
Neural networks; Exponential stability; M-matrix; Variable delays; Impulses; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DEPENDENT STABILITY; DIFFERENTIAL-EQUATIONS; DISTRIBUTED DELAYS; DISCRETE; OPTIMIZATION;
D O I：
10.1016/j.amc.2014.06.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper further investigates the problem of stability analysis for a kind of neural networks with variable delays and nonlinear impulses. With the help of M-matrix, the homeomorphism theory, some effective inequalities and analysis techniques, certain novel criteria on the existence, uniqueness and exponential stability of the equilibrium point have been established. Moreover, these criteria possess adjustable real parameters, which extend and improve many existing results in the literature. In the end, two numerical examples are provided to illustrate the validation of the theoretical results. (C) 2014 Elsevier Inc. All rights reserved.
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页码：923 / 935
页数：13
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