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

[31] Impulsive Stabilization of Nonautonomous Timescale-Type Neural Networks With Constant and Unbounded Time-Varying Delays [J].

Wan, Peng ;

Zeng, Zhigang .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (01) :542-554

[32] Exponential stability and extended dissipativity criteria for generalized discrete-time neural networks with additive time-varying delays [J].

Shan, Yaonan ;

She, Kun ;

Zhong, Shouming ;

Zhong, Qishui ;

Shi, Kaibo ;

Zhao, Can .

APPLIED MATHEMATICS AND COMPUTATION, 2018, 333 :145-168

[33] Globally exponential stabilization of neural networks with mixed time delays via impulsive control [J].

Wei, Linna ;

Chen, Wu-Hua ;

Huang, Ganji .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 :10-26

[34] Global exponential stability of fuzzy BAM neural networks with time-varying delays [J].

Zhang, Qianhong ;

Luo, Wei .

CHAOS SOLITONS & FRACTALS, 2009, 42 (04) :2239-2245

[35] Robust dissipativity control for uncertain neural networks with time-varying delays [J].

Qin, Xiaoyan .

PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, :3972-3976

[36] Exponential passivity of memristive neural networks with mixed time-varying delays [J].

Wu, Huaiqin ;

Han, Xiaoming ;

Wang, Lifei ;

Wang, Yu ;

Fang, Bolin .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (03) :688-712

[37] Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations [J].

Yan, Meng ;

Jiang, Minghui ;

Fei, Kaifang .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (3-4) :345-364

[38] Improved Extended Dissipativity Results for T-S Fuzzy Generalized Neural Networks With Mixed Interval Time-Varying Delays [J].

Luemsai, Sunisa ;

Botmart, Thongchai .

IEEE ACCESS, 2022, 10 :2480-2496

[39] Lagrange Exponential Stability of Complex-Valued BAM Neural Networks With Time-Varying Delays [J].

Zhang, Ziye ;

Guo, Runan ;

Liu, Xiaoping ;

Lin, Chong .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (08) :3072-3085

[40] Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays [J].

Liu, Yang ;

Zhang, Dandan ;

Lu, Jianquan .

NONLINEAR DYNAMICS, 2017, 87 (01) :553-565

← 1 2 3 4 5 →