Global exponential stability of a general class of recurrent neural networks with time-varying delays

被引:249
|
作者
Zeng, ZG [1 ]
Wang, J
Liao, XX
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Hubei Normal Univ, Dept Math, Huangshi 435002, Peoples R China
[3] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
关键词
global exponential stability; neural networks; rate of exponential convergence; time-varying delays;
D O I
10.1109/TCSI.2003.817760
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
This brief presents new theoretical results on the global exponential stability of neural networks with time-varying delays and Lipschitz continuous activation functions. These results include several sufficient conditions for the global exponential stability of general neural networks with time-varying delays and without monotone, bounded, or continuously differentiable activation function. In addition to providing new criteria for neural networks with 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:1353 / 1358
页数:6
相关论文
共 50 条
  • [1] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    Cao, J
    Wang, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) : 34 - 44
  • [2] Global Exponential Stability of Recurrent Neural Networks with Pure Time-varying Delays
    Zeng, Zhigang
    Chen, Huangqiong
    Wen, Shiping
    [J]. 2008 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-8, 2008, : 887 - 892
  • [3] Global exponential stability of a class of memristive neural networks with time-varying delays
    Wang, Xin
    Li, Chuandong
    Huang, Tingwen
    Duan, Shukai
    [J]. NEURAL COMPUTING & APPLICATIONS, 2014, 24 (7-8): : 1707 - 1715
  • [4] Global exponential stability of a class of memristive neural networks with time-varying delays
    Xin Wang
    Chuandong Li
    Tingwen Huang
    Shukai Duan
    [J]. Neural Computing and Applications, 2014, 24 : 1707 - 1715
  • [5] Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays
    Zhang, Guodong
    Shen, Yi
    Sun, Junwei
    [J]. NEUROCOMPUTING, 2012, 97 : 149 - 154
  • [6] Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays
    Chen, Boshan
    Wang, Jun
    [J]. NEURAL NETWORKS, 2007, 20 (10) : 1067 - 1080
  • [7] Global robust stability of general recurrent neural networks with time-varying delays
    Xu, Jun
    Pi, Daoying
    Cao, Yong-Yan
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 179 - 184
  • [8] Improved conditions for global exponential stability of recurrent neural networks with time-varying delays
    Zeng, ZG
    Wang, J
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (03): : 623 - 635
  • [9] New results on global exponential stability of recurrent neural networks with time-varying delays
    Xu, SY
    Chu, YM
    Lu, JW
    [J]. PHYSICS LETTERS A, 2006, 352 (4-5) : 371 - 379
  • [10] Global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays
    Chen, BS
    Wang, J
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1440 - 1448