New delay-dependent stability criteria for neural networks with time-varying delay

被引:396
|
作者
He, Yong [1 ]
Liu, Guoping
Rees, D.
机构
[1] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[2] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[3] Chinese Acad Sci, CSIS Lab, Inst Automat, Beijing 100080, Peoples R China
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2007年 / 18卷 / 01期
关键词
delay-dependent; neural networks (NNs); time-varying delay; linear matrix inequality (LMI); stability;
D O I
10.1109/TNN.2006.888373
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 letter, a new method is proposed for stability analysis of neural networks (NNs) with a time-varying delay. Some less conservative delay-dependent stability criteria are established by considering the additional useful terms, which were ignored in previous methods, when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
引用
收藏
页码:310 / 314
页数:5
相关论文
共 50 条
  • [21] Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay
    Stojanovic, Sreten
    Stojanovic, Milan
    Stevanovic, Milos
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [22] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay
    ZHANG HuaGuang & WANG ZhanShan School of Information Science and Engineering
    Science China(Information Sciences), 2009, (06) : 942 - 948
  • [23] New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay
    HuaGuang Zhang
    ZhanShan Wang
    Science in China Series F: Information Sciences, 2009, 52 : 942 - 948
  • [24] New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays
    Wen, Wu
    Shi, Kaibo
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [25] Delay-dependent stability for uncertain stochastic neural networks with time-varying delay
    Huang, He
    Feng, Gang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (1-2) : 93 - 103
  • [26] Delay-dependent global exponential stability for neural networks with time-varying delay
    Yang, Bin
    Hao, Mengnan
    Cao, Junjun
    Zhao, Xudong
    NEUROCOMPUTING, 2019, 338 : 172 - 180
  • [27] Improved Delay-Dependent Stability Criterion on Neural Networks with Time-Varying Delay
    Zhang, Haitao
    Wang, Ting
    Fei, Shumin
    Li, Tao
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 2080 - 2084
  • [28] Delay-dependent exponential stability of delayed neural networks with time-varying delay
    He, Yong
    Wu, Min
    She, Jin-Hua
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 553 - 557
  • [29] Improved delay-dependent stability criterion for neural networks with time-varying delay
    Tian, Junkang
    Zhong, Shouming
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) : 10278 - 10288
  • [30] Delay-dependent stability criterion of a class of neural networks with time-varying delay
    Yang Bin
    Liu Shubo
    Wang Jincheng
    Jin Jing
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 3038 - +