Globally exponential stability and dissipativity for nonautonomous neural networks with mixed time-varying delays

被引：14

作者：

Jiang, Minghui ^{[1
]}

Mu, Juan ^{[1
]}

Huang, Dasong ^{[1
]}

机构：

[1] China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 205卷

基金：

中国国家自然科学基金;

关键词：

Existence; Dissipativity; Halanay inequality; Matrix measure; Stability; Nonautonomous neural networks; DEPENDENT STABILITY; DISTRIBUTED DELAYS; ASYMPTOTIC STABILITY; DISCRETE; SYSTEMS; PASSIVITY; CRITERIA; SYNCHRONIZATION; INEQUALITY; INTERVAL;

D O I：

10.1016/j.neucom.2016.04.025

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the problems of globally exponential stability, dissipativity and solutions' existence are investigated for nonautonomous neural networks with mixed time-varying delays as well as general activation functions. The mixed time-varying delays consist of both discrete and distributed delays. First, we give a Halanay inequality and combine matrix measure function inequality, sufficient conditions are established to ensure the dissipativity and globally exponential stability of the solutions of the considered neural networks in the end, then a criterion are obtained to guarantee the existence of the solutions of system. Finally, numerical examples are given to show the effectiveness of our theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：421 / 429

页数：9

共 50 条

[41] Global exponential stability of periodic neural networks with time-varying delays
Jiang, Haijun
Cao, Jinde
NEUROCOMPUTING, 2006, 70 (1-3) : 343 - 350
[42] LMI conditions for exponential stability of neural networks with time-varying delays
Yang, HF
Chu, TG
Zhang, CS
2005 International Conference on Control and Automation (ICCA), Vols 1 and 2, 2005, : 576 - 580
[43] Global robust point dissipativity of interval neural networks with mixed time-varying delays
Wang, Lan
Cao, Jinde
NONLINEAR DYNAMICS, 2009, 55 (1-2) : 169 - 178
[44] Dissipativity Analysis of Stochastic Neural Networks with Time-Varying Delays
Zhou, Jianting
Song, Qiankun
Yang, Jianxi
ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 619 - +
[45] Global robust point dissipativity of interval neural networks with mixed time-varying delays
Lan Wang
Jinde Cao
Nonlinear Dynamics, 2009, 55 : 169 - 178
[46] Global Robust Exponential Dissipativity of Uncertain Second-Order BAM Neural Networks With Mixed Time-Varying Delays
Wu, Kai
Jian, Jigui
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (12) : 5675 - 5687
[47] Global exponential stability and dissipativity of generalized neural networks with time-varying delay signals
Manivannan, R.
Samidurai, R.
Cao, Jinde
Alsaedi, Ahmed
Alsaadi, Fuad E.
NEURAL NETWORKS, 2017, 87 : 149 - 159
[48] Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
Hu, Weiyi
Li, Kelin
COMPLEXITY, 2021, 2021
[49] Adaptive exponential synchronization of memristive neural networks with mixed time-varying delays
Han, Xiaoming
Wu, Huaiqin
Fang, Bolin
NEUROCOMPUTING, 2016, 201 : 40 - 50
[50] Exponential Stability of Impulsive Timescale-Type Nonautonomous Neural Networks With Discrete Time-Varying and Infinite Distributed Delays
Wan, Peng
Zeng, Zhigang
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2024, 35 (01) : 1292 - 1304

← 1 2 3 4 5 →