Exponential stability of the neural networks with time-varying discrete and distributed delays

被引：0
|
作者：
Li, Qingbo [1 ]
Wang, Shujuan [1 ]
Wu, Yuanyuan [2 ]
机构：
[1] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
来源：
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年
关键词：
Neural networks; Time-varying delay; Exponential stability; linear matrix inequalities; GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; CRITERIA;
D O I：
10.1109/CCDC.2010.5498783
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For a class of generalized neural networks(NNs) with discrete and distributed time-varying delays, this paper is concerned with the problems of determining the global exponential stability and estimating the exponential convergence rate. By introducing a novel Lyapunov-Krasovskii functional and some appropriate free-weighting matrices, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Finally, a numerical examples is given to show the superiority of the obtained results.
引用
收藏
页码：2453 / +
页数：2
相关论文
共 50 条
  • [1] Exponential Stability of the Neural Networks with Discrete and Distributed Time-Varying Delays
    Li, Qingbo
    Xing, Peixu
    Wu, Yuanyuan
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 569 - +
  • [2] Exponential stability of recurrent neural networks with time-varying discrete and distributed delays
    Li, Tao
    Luo, Qi
    Sun, Changyin
    Zhang, Baoyong
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2581 - 2589
  • [3] Global Exponential Stability for Impulsive Neural Networks With Discrete and Distributed Time-varying Delays
    Wu, Liang
    Zhao, Lei
    Zhao, Yingfeng
    Ma, Baolin
    [J]. PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND INDUSTRIAL ENGINEERING, VOLS I AND II, 2010, : 660 - 664
  • [4] Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays
    Kwon, O. M.
    Park, Ju H.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 813 - 823
  • [5] Global exponential stability of cellular neural networks with time-varying discrete and distributed delays
    Ma, Keyun
    Yu, Li
    Zhang, Wen-an
    [J]. NEUROCOMPUTING, 2009, 72 (10-12) : 2705 - 2709
  • [6] Exponential stability of competitive neural networks with time-varying and distributed delays
    Nie, X.
    Cao, J.
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2008, 222 (I6) : 583 - 594
  • [7] Delay-dependent exponential stability for neural networks with discrete and distributed time-varying delays
    Zhu, Xunlin
    Wang, Youyi
    [J]. PHYSICS LETTERS A, 2009, 373 (44) : 4066 - 4072
  • [8] Simplified exponential stability analysis for recurrent neural networks with discrete and distributed time-varying delays
    Yu, Jianjiang
    Zhang, Kanjian
    Fei, Shumin
    Li, Tao
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) : 465 - 474
  • [9] Global exponential stability of reaction diffusion neural networks with discrete and distributed time-varying delays
    张为元
    李俊民
    [J]. Chinese Physics B, 2011, 20 (03) : 119 - 124
  • [10] Global Exponential Stability for Uncertain Dynamic Neural Networks with Discrete and Distributed Time-varying Delays
    Wu, Liang
    Ma, Baolin
    Cheng, Jianfeng
    Yin, Jingben
    [J]. 2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1273 - +
12345