Global Asymptotic Robust Stability and Global Exponential Robust Stability of Neural Networks with Time-Varying Delays

被引：0
|
作者：
Jin-Liang Shao
Ting-Zhu Huang
Sheng Zhou
机构：
[1] University of Electronic Science and Technology of China,School of Applied Mathematics
来源：
Neural Processing Letters | 2009年 / 30卷
关键词：
Neural networks; Time-varying delays; Global robust stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, based on nonnegative matrix theory, the Halanay’s inequality and Lyapunov functional, some novel sufficient conditions for global asymptotic robust stability and global exponential robust stability of neural networks with time-varying delays are presented. It is shown that our results improve and generalize several previous results derived in the literatures. From the obtained results, some linear matrix inequality criteria are derived. Finally, a simulation is given to show the effectiveness of the results.
引用
收藏
页码：229 / 241
页数：12
相关论文
共 50 条
  • [21] Global asymptotic stability for a class of neural networks with time-varying delays
    Guo, Yingxin
    Xu, Chao
    2014 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC), 2014, : 72 - 76
  • [22] New results of global robust exponential stability of neural networks with delays
    Zhao, Weirui
    Zhu, Qing
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 1190 - 1197
  • [23] New criteria on global robust stability of Cohen-Grossberg neural networks with time-varying delays
    Feng, Jun-e
    Xu, Shengyuan
    NEUROCOMPUTING, 2008, 72 (1-3) : 445 - 457
  • [24] Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
    Huang, H
    Ho, DWC
    Cao, JD
    NEURAL NETWORKS, 2005, 18 (02) : 161 - 170
  • [25] On global exponential stability of delayed cellular neural networks with time-varying delays
    Zhang, Q
    Wei, XP
    Xu, J
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (02) : 679 - 686
  • [26] Novel Criterions for Global Asymptotic Stability of Static Neural Networks with Time-Varying Delays
    Wang, Li
    Yu, Xiaopeng
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 1115 - 1119
  • [27] Global exponential stability of a general class of recurrent neural networks with time-varying delays
    Zeng, ZG
    Wang, J
    Liao, XX
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (10) : 1353 - 1358
  • [28] New results on robust exponential stability for discrete recurrent neural networks with time-varying delays
    Wu, Zhengguang
    Su, Hongye
    Chu, Jian
    Zhou, Wuneng
    NEUROCOMPUTING, 2009, 72 (13-15) : 3337 - 3342
  • [29] Exponential Robust Stability of Stochastic Interval Hopfield Neural Networks with Time-Varying Delays
    Li Xiaolin
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 6, 2008, : 701 - 704
  • [30] Delay - dependent Robust Stability of Neural Networks with Time-varying Delays
    Wang, Liyan
    Wang, Yang
    Liu, Jianxia
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 3875 - 3878
12345