Global exponential stability of periodic neural networks with time-varying delays

被引:39
|
作者
Jiang, Haijun [1 ]
Cao, Jinde
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
neural networks; variable coefficients; time-varying delays; global exponential stability; periodic solution;
D O I
10.1016/j.neucom.2006.01.021
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we consider the periodic neural networks with variable coefficients and time-varying delays, and investigate the existence of periodic solution and its global exponential stability. Various sufficient conditions ensuring the existence of periodic and its global exponential stability are given. The results obtained in this paper extend and generalize those given in previous literature. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:343 / 350
页数:8
相关论文
共 50 条
  • [1] 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
  • [2] Global exponential convergence of periodic neural networks with time-varying delays
    Wu, Ailong
    Zeng, Zhigang
    Zhang, Jine
    [J]. NEUROCOMPUTING, 2012, 78 (01) : 149 - 154
  • [3] Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays
    Liu, ZG
    Liao, LS
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) : 247 - 262
  • [4] Global Exponential Stability of Almost Periodic Solution of Cellular Neural Networks with Time-Varying Delays
    Jing Liu and Pei-Yong Zhu School of Applied Mathematics
    [J]. Journal of Electronic Science and Technology, 2007, (03) : 238 - 242
  • [5] Global exponential stability of cellular neural networks with time-varying delays
    Zhang, Q
    Zhou, DS
    Wang, HJ
    Wei, XP
    [J]. ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 405 - 410
  • [6] Global exponential stability of cellular neural networks with time-varying delays
    Luo, YP
    Deng, FQ
    Yao, HZ
    [J]. 2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 638 - 642
  • [7] Global exponential stability of generalized neural networks with time-varying delays
    Wang, Gang
    Zhang, Huaguang
    Liu, Derong
    [J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 743 - 746
  • [8] Global exponential stability for BAM neural networks with time-varying delays
    Zong, Guangdeng
    Wu, Yanfeng
    Hou, Linlin
    [J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2500 - 2505
  • [9] Exponential stability of periodic neural networks with impulsive effects and time-varying delays
    Shao, Yuanfu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6893 - 6899
  • [10] Periodic Solutions and Exponential Stability of a Class of Neural Networks with Time-Varying Delays
    Guo, Yingxin
    Xue, Mingzhi
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009