Exponential stability analysis of neural networks with multiple time varying delays

被引：0
|
作者：
Wang Zhanshan [1 ]
Mang Huaguang
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Shenyang Ligong Univ, Dept Informat Engn, Shenyang 110168, Peoples R China
来源：
CHINESE JOURNAL OF ELECTRONICS | 2006年 / 15卷 / 04期
关键词：
recurrent neural networks; multiple time delays; exponential stability; linear matrix inequality (LMI);
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Without assuming the boundedness, strict monotonicity and differentiability of the activation function, global exponential stability was investigated for a class of neural networks with multiple time varying delays. A new sufficient condition is derived to guarantee the uniqueness and global exponential stability of the equilibrium point via linear matrix inequality technique. The proposed stability criterion imposes constraints on the self-feedback matrix and interconnected matrices, which can be conveniently verified. Comparisons are made with some previous results, which shows the effectiveness of the obtained result.
引用
收藏
页码：649 / 653
页数：5
相关论文
共 50 条
  • [21] Lp stability analysis of neural networks with multiple time-varying delays
    Liang, Xue
    Wang, Xin
    Zhang, Xian
    Liu, Chunyan
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (13): : 10386 - 10408
  • [22] Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays
    Suntonsinsoungvon, E.
    Udpin, S.
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 171 : 233 - 245
  • [23] 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
  • [24] Global robust exponential stability analysis for interval neural networks with time-varying delays
    Li, CD
    Liao, XF
    Zhang, R
    Prasad, A
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 25 (03) : 751 - 757
  • [25] Exponential stability analysis of Cohen-Grossberg neural networks with time-varying delays
    Yi-min Meng
    Li-hong Huang
    Zhao-hui Yuan
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2012, 28 : 181 - 192
  • [26] Novel Global Exponential Stability Analysis for BAM Neural Networks with Time-Varying Delays
    Chen, Yonggang
    Huang, Shoujia
    Yin, Jingben
    Li, Qingbo
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4355 - +
  • [27] Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
    Huang, H
    Ho, DWC
    Cao, JD
    [J]. NEURAL NETWORKS, 2005, 18 (02) : 161 - 170
  • [28] Further analysis on global robust exponential stability of neural networks with time-varying delays
    Shao, Jin-Liang
    Huang, Ting-Zhu
    Wang, Xiao-Ping
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1117 - 1124
  • [29] On exponential stability analysis for neural networks with time-varying delays and general activation functions
    Wang, Yijing
    Yang, Cuili
    Zuo, Zhiqiang
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1447 - 1459
  • [30] Exponential Stability Analysis of Cohen-Grossberg Neural Networks with Time-varying Delays
    Yi-min MENG
    [J]. Acta Mathematicae Applicatae Sinica, 2012, (01) : 181 - 192
12345