Impulsive delay differential inequality and stability of neural networks

被引：227

作者：

Xu, DY ^{[1
]}

Yang, ZC ^{[1
]}

机构：

[1] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 305卷 / 01期

基金：

中国国家自然科学基金;

关键词：

impulse; delay; differential inequality; neural networks; stability;

D O I：

10.1016/j.jmaa.2004.10.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a generalized model of neural networks involving time-varying delays and impulses is considered. By establishing the delay differential inequality with impulsive initial conditions and using the properties of M-cone and eigenspace of the spectral radius of nonnegative matrices, some new sufficient conditions for global exponential stability of impulsive delay model are obtained. The results extend and improve the earlier publications. An example is given to illustrate the theory. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：107 / 120

页数：14

共 50 条

[1] Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
Li, Chunxiang
Shi, Junping
Sun, Jitao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (10) : 3099 - 3111
[2] Stability analysis of delay neural networks with impulsive effects
Yang, Zhichun
Xu, Daoyi
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (05): : 563 - 573
[3] Stability analysis of delay neural networks with impulsive effects
Yang, ZC
Xu, DY
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (08) : 517 - 521
[4] An impulsive delay differential inequality and applications
Li, Xiaodi
Bohner, Martin
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) : 1875 - 1881
[5] New conditions for exponential stability of delay impulsive neural networks
Yang, ZC
Xu, DY
Deng, J
Niu, JR
[J]. ICECS 2004: 11TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, 2004, : 226 - 229
[6] The Stability of Impulsive Stochastic Delay Neural Networks with Markovian Switching
Xi F.-B.
Xu C.
[J]. Xu, Chang (692961142@qq.com), 1600, Beijing Institute of Technology (40): : 1133 - 1137
[7] Potential Effects of Delay on the Stability of a Class of Impulsive Neural Networks
Zhan, Nan
Wu, Ailong
[J]. COMPLEXITY, 2022, 2022
[8] Potential Effects of Delay on the Stability of a Class of Impulsive Neural Networks
Zhan, Nan
Wu, Ailong
[J]. COMPLEXITY, 2022, 2022
[9] Potential Effects of Delay on the Stability of a Class of Impulsive Neural Networks
Zhan, Nan
Wu, Ailong
[J]. Complexity, 2022, 2022
[10] Stability condition for impulsive hopfield neural networks with time delay
Zhang, Qiang
Wei, Xiaopeng
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 35 - 38

← 1 2 3 4 5 →