Delay-dependent exponential stability analysis for discrete-time switched neural networks with time-varying delay

被引：59

作者：

Wu, Zheng-Guang ^{[1
]}

Shi, Peng ^{[2
,3
]}

Su, Hongye ^{[1
]}

Chu, Jian ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China

[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales

[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

来源：

NEUROCOMPUTING | 2011年 / 74卷 / 10期

基金：

国家高技术研究发展计划(863计划); 英国工程与自然科学研究理事会;

关键词：

Switched neural networks; Time-varying delays; Exponential stability; Average dwell time; Linear matrix inequality (LMI); ROBUST STABILITY; ASYMPTOTIC STABILITY; MODEL-REDUCTION; SYSTEMS; CRITERIA;

D O I：

10.1016/j.neucom.2011.01.015

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, we focus on the stability problem for discrete-time switched neural networks with time-varying delay resorting to the average dwell time method. In terms of linear matrix inequality approach, a delay-dependent sufficient condition of exponential stability is developed for a kind of switching signal with average dwell time. A numerical example is given to show the validness of the established result. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1626 / 1631

页数：6

共 29 条

[1] Global asymptotic stability of a class of dynamical neural networks
Arik, S
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04): : 568 - 571
[2] Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays
Cao, Jinde
Yuan, Kun
Li, Han-Xiong
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06): : 1646 - 1651
[3] Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[4] Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty's
Huang, H
Qu, YZ
Li, HX
[J]. PHYSICS LETTERS A, 2005, 345 (4-6) : 345 - 354
[5] Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure
Li, Ping
Cao, Jinde
[J]. NONLINEAR DYNAMICS, 2007, 49 (1-2) : 295 - 305
[6] Exponential stability for switched Cohen-Grossberg neural networks with average dwell time
Lian, Jie
Zhang, Kai
[J]. NONLINEAR DYNAMICS, 2011, 63 (03) : 331 - 343
[7] Liberzon D., 2003, SYS CON FDN, P190, DOI 10.1007/978-1-4612-0017-8
[8] Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis
Liu, Yurong
Wang, Zidong
Serrano, Alan
Liu, Xiaohui
[J]. PHYSICS LETTERS A, 2007, 362 (5-6) : 480 - 488
[9] Delay-dependent criteria for global robust periodicity of uncertain switched recurrent neural networks with time-varying delay
Lou, Xuyang
Cui, Baotong
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (04): : 549 - 557
[10] Supervisory control of families of linear set-point controllers .1. Exact matching
Morse, AS
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (10) : 1413 - 1431

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