Global Exponential Stability of Recurrent Neural Networks with Pure Time-varying Delays

被引:0
|
作者
Zeng, Zhigang [1 ]
Chen, Huangqiong [1 ]
Wen, Shiping [1 ]
机构
[1] Wuhan Univ Technol, Sch Automat, Wuhan 430070, Hubei, Peoples R China
关键词
D O I
10.1109/IJCNN.2008.4633903
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 presents some theoretical results on the global exponential stability of recurrent neural networks with pure time-varying delays. It is shown that the recurrent neural network is globally exponentially stable, if the pure time-varying delays satisfy some limitations. In addition to providing new criteria for recurrent neural networks with pure time-varying delays, these stability conditions also improve upon the existing ones with constant time delays and without time delays. Furthermore, it is convenient to estimate the exponential convergence rates of the neural networks by using the results.
引用
收藏
页码:887 / 892
页数:6
相关论文
共 50 条
  • [21] Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays
    Zeng, ZG
    Wang, J
    Liao, XX
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (03) : 168 - 173
  • [22] Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimuli
    Zeng, Zhigang
    Wang, Jun
    NEURAL NETWORKS, 2006, 19 (10) : 1528 - 1537
  • [23] Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays
    Zhang, Guodong
    Shen, Yi
    Sun, Junwei
    NEUROCOMPUTING, 2012, 97 : 149 - 154
  • [24] GLOBAL EXPONENTIAL STABILITY FOR REACTION-DIFFUSION RECURRENT NEURAL NETWORKS WITH MULTIPLE TIME-VARYING DELAYS
    Lou, Xuyang
    Cui, Baotong
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2008, 33 (2B) : 487 - 501
  • [25] A note of "Global Exponential Stability of Reaction-diffusion Recurrent Neural Networks with Time-varying Delays"
    Yang, Fengjian
    Zhang, Chaolong
    Yang, Jianfu
    Wu, Dongqing
    Chen, Xinming
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 106 - 110
  • [26] Global exponential stability of a class of memristive neural networks with time-varying delays
    Wang, Xin
    Li, Chuandong
    Huang, Tingwen
    Duan, Shukai
    NEURAL COMPUTING & APPLICATIONS, 2014, 24 (7-8): : 1707 - 1715
  • [27] Global exponential stability of fuzzy BAM neural networks with time-varying delays
    Zhang, Qianhong
    Luo, Wei
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2239 - 2245
  • [28] Global exponential stability of cellular neural networks with time-varying delays and impulses
    Fu, Chaojin
    Chen, Boshan
    ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 230 - 235
  • [29] 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
  • [30] Global exponential stability for switched memristive neural networks with time-varying delays
    Xin, Youming
    Li, Yuxia
    Cheng, Zunshui
    Huang, Xia
    NEURAL NETWORKS, 2016, 80 : 34 - 42