Analysis on delay-dependent stability for neural networks with time-varying delays

被引:98
|
作者
Kwon, O. M. [1 ]
Park, Ju H. [2 ]
Lee, S. M. [3 ]
Cha, E. J. [4 ]
机构
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea
[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea
[4] Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Cheongju 361763, South Korea
基金
新加坡国家研究基金会;
关键词
Neural networks; Time-varying delays; Stability; Lyapunov method; ROBUST STABILITY; EXPONENTIAL STABILITY; REACTION-DIFFUSION; CRITERIA; DISCRETE; SYNCHRONIZATION; ARRAYS;
D O I
10.1016/j.neucom.2012.09.012
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper considers the problem of delay-dependent stability criteria for neural networks with time-varying delays. First, by constructing a newly augmented Lyapunov-Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities (LMIs). Second, by proposing a novel activation function condition which has not been considered, a further improved result is proposed. Finally, two numerical examples utilized in other literature are given to show the improvements over the existing ones and the effectiveness of the proposed idea. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:114 / 120
页数:7
相关论文
共 50 条
  • [1] Delay-Dependent Stability of Neural Networks with Time-Varying Delays
    Xiong, Jing-Jing
    Zhang, Guobao
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 4024 - 4028
  • [2] Improved delay-dependent stability analysis for neural networks with time-varying delays
    Xie, Xiangjun
    Ren, Zerong
    [J]. ISA TRANSACTIONS, 2014, 53 (04) : 1000 - 1005
  • [3] Delay-Dependent Stability Analysis for Recurrent Neural Networks with Time-Varying Delays
    Lv, Shu
    Tian, Junkang
    Zhong, Shouming
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [4] Delay-dependent asymptotic stability for neural networks with time-varying delays
    Liao, Xiaofeng
    Yang, Xiaofan
    Zhang, Wei
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
  • [5] Delay-dependent stability for recurrent neural networks with time-varying delays
    Shao, Hanyong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (09): : 1647 - 1651
  • [6] Delay-dependent asymptotic stability of neural networks with time-varying delays
    Xu, Shengyuan
    Lam, James
    Ho, Daniel W. C.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (01): : 245 - 250
  • [7] Delay-Dependent Criterion for Exponential Stability Analysis of Neural Networks with Time-Varying Delays
    Farnam, Arash
    Esfanjani, Reza Mahboobi
    Ahmadi, Aghil
    [J]. IFAC PAPERSONLINE, 2016, 49 (10): : 130 - 135
  • [8] Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays
    Li, Kelin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) : 2088 - 2099
  • [9] Improved Delay-Dependent Stability Analysis for Neural Networks with Interval Time-Varying Delays
    Tian, Jun-kang
    Liu, Yan-min
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [10] Novel Delay-Dependent Stability Results for Neural Networks with Time-Varying Delays
    Hanyong Shao
    [J]. Circuits, Systems and Signal Processing, 2010, 29 : 637 - 647