Novel delay-dependent stability criteria of neural networks with time-varying delay

被引:35
|
作者
Chen, Yonggang [1 ]
Wu, Yuanyuan [2 ]
机构
[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Peoples R China
[2] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China
关键词
Stability; Neural networks; Time-varying delay; Linear matrix inequalities (LMIs); GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; EXPONENTIAL STABILITY; UNCERTAINTIES;
D O I
10.1016/j.neucom.2008.03.006
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 delay-dependent stability is investigated for neural networks with a time-varying delay. By using the augmented Lyapunov functional method and by resorting to the novel method for estimating the upper bound of the derivative of augmented Lyapunov functionals, the less conservative asymptotic stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the effectiveness and the less conservativeness of the proposed method. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1065 / 1070
页数:6
相关论文
共 50 条
  • [1] Novel delay-dependent stability criteria for neural networks with interval time-varying delay
    Wang Jian-An
    [J]. CHINESE PHYSICS B, 2011, 20 (12)
  • [3] New delay-dependent stability criteria for neural networks with time-varying delay
    He, Yong
    Liu, Guoping
    Rees, D.
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01): : 310 - 314
  • [4] Improved Delay-Dependent Stability Criteria for Neural Networks with Time-Varying Delay
    Yu, Jianjiang
    Li, Tao
    Sun, Changyin
    [J]. 2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 213 - +
  • [5] Novel Delay-dependent Robust Stability Criteria of Hopfield Neural Networks with Time-varying Delay
    Liu, Fang
    He, Yong
    Li, Yong
    Dong, Mi
    [J]. PROCEEDINGS OF THE 2017 12TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2017, : 757 - 761
  • [6] Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay
    Stojanovic, Sreten
    Stojanovic, Milan
    Stevanovic, Milos
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [7] Delay-dependent stability for neural networks with time-varying delay
    Liu, Hailin
    Chen, Guohua
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (01) : 171 - 177
  • [8] Delay-dependent stability criteria for time-varying delay neural networks in the delta domain
    Yuan, Yuan
    Sun, Fuchun
    [J]. NEUROCOMPUTING, 2014, 125 : 17 - 21
  • [9] New delay-dependent stability criteria for neural networks with time-varying interval delay
    Chen, Jie
    Sun, Jian
    Liu, G. P.
    Rees, D.
    [J]. PHYSICS LETTERS A, 2010, 374 (43) : 4397 - 4405
  • [10] An Improved Delay-dependent Stability Criteria for Recurrent Neural Networks with Time-varying Delay
    Wang, Zhuo
    Wang, Chenghong
    Song, Su
    [J]. PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2008, : 132 - +