Global stability in Lagrange sense for BAM-type Cohen-Grossberg neural networks with time-varying delays

被引：21
|
作者：
Jian, Jigui [1 ]
Zhao, Zhihua [1 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2015年 / 3卷 / 01期
基金：
中国国家自然科学基金;
关键词：
BAM-type Cohen-Grossberg neural networks; Lagrange stability; globally attractive set; inequality;
D O I：
10.1080/21642583.2014.881729
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the positive invariant sets and global exponential attractive sets for a class of bidirectional associative memory (BAM)-type Cohen-Grossberg neural networks with multiple time-varying delays. By applying inequality techniques, some easily verifiable delay-independent criteria for the ultimate boundedness and global exponential attractive sets of BAM-type Cohen-Grossberg neural networks are obtained by constructing appropriate Lyapunov functions. Finally, one example with numerical simulations is given to illustrate the results obtained in this paper.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 50 条
  • [31] Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    Shi, Kaibo
    Cheng, Jun
    Neurocomputing, 2014, 127 : 144 - 151
  • [32] Multiple ψ-Type Stability of Cohen-Grossberg Neural Networks with Unbounded Time-Varying Delays
    Zhang, Fanghai
    Zeng, Zhigang
    IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021, 51 (01) : 521 - 531
  • [33] Exponential stability for stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    Shi, Kaibo
    Cheng, Jun
    NEUROCOMPUTING, 2014, 127 : 144 - 151
  • [34] Multiple ψ-Type Stability of Cohen-Grossberg Neural Networks With Unbounded Time-Varying Delays
    Zhang, Fanghai
    Zeng, Zhigang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (01): : 521 - 531
  • [35] Asymptotic Stability of Cohen-Grossberg BAM Neutral Type Neural Networks with Distributed Time Varying Delays
    Ali, M. Syed
    Saravanan, S.
    Rani, M. Esther
    Elakkia, S.
    Cao, Jinde
    Alsaedi, Ahmed
    Hayat, Tasawar
    NEURAL PROCESSING LETTERS, 2017, 46 (03) : 991 - 1007
  • [36] Existence of Periodic Solutions of Cohen-Grossberg type BAM Neural Networks with Time-Varying Delays and impulses
    Wu, Chunxue
    Shi, Bao
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 744 - 751
  • [37] Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 932 - 940
  • [38] Global exponential stability of Cohen-Grossberg neural networks with time-varying delays and continuously distributed delays
    Shen, Y
    Jiang, MH
    Liao, XX
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 156 - 161
  • [39] Exponential Stability of BAM Type Cohen-Grossberg Neural Networks with Delays On Time Scales
    Zhang, Chaolong
    Wang, Qiru
    Yang, Fengjian
    Yang, Jianfu
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2406 - +
  • [40] 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
12345