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

[21] Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays [J].

Jiao, Shiyu ;

Shen, Hao ;

Wei, Yunliang ;

Huang, Xia ;

Wang, Zhen .

APPLIED MATHEMATICS AND COMPUTATION, 2018, 336 :338-350

[22] Global dissipativity and exponential synchronization of mixed time-varying delays neural networks with discontinuous activations [J].

Fei, Kaifang ;

Jiang, Minghui ;

Yan, Meng ;

Liu, Weizhen .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (7-8) :693-704

[23] Stability and Synchronization of Nonautonomous Reaction-Diffusion Neural Networks With General Time-Varying Delays [J].

Zhang, Hao ;

Zeng, Zhigang .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (10) :5804-5817

[24] Global exponential stability and dissipativity of generalized neural networks with time-varying delay signals [J].

Manivannan, R. ;

Samidurai, R. ;

Cao, Jinde ;

Alsaedi, Ahmed ;

Alsaadi, Fuad E. .

NEURAL NETWORKS, 2017, 87 :149-159

[25] Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays [J].

Shao, Yuanfu ;

Xu, Changjin ;

Zhang, Qianhong .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[26] MEAN SQUARE EXPONENTIAL STABILITY OF GENERALIZED STOCHASTIC NEURAL NETWORKS WITH TIME-VARYING DELAYS [J].

Yu, Jianjiang ;

Zhang, Kanjian ;

Fei, Shumin .

ASIAN JOURNAL OF CONTROL, 2009, 11 (06) :633-642

[27] Exponential Stability Results of Discrete-Time Stochastic Neural Networks with Time-Varying Delays [J].

Li, Yajun .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013

[28] Global exponential stability of impulsive discrete-time neural networks with time-varying delays [J].

Xu, Honglei ;

Chen, Yuanqiang ;

Teo, Kok Lay .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :537-544

[29] Relaxed dissipativity criteria for memristive neural networks with leakage and time-varying delays [J].

Xiao, Jianying ;

Zhong, Shouming ;

Li, Yongtao .

NEUROCOMPUTING, 2016, 171 :708-718

[30] Stability for Neural Networks With Time-Varying Delays via Some New Approaches [J].

Kwon, Oh-Min ;

Park, Myeong-Jin ;

Lee, Sang-Moon ;

Park, Ju H. ;

Cha, Eun-Jong .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (02) :181-193

← 1 2 3 4 5 →