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 17 条
  • [1] Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks
    Dong, Hongli
    Wang, Zidong
    Gao, Huijun
    [J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (10) : 4665 - 4672
  • [2] H?8? sliding mode observer design for a class of nonlinear discrete time-delay systems: A delay-fractioning approach
    Hu, Jun
    Wang, Zidong
    Niu, Yugang
    Stergioulas, Lampros K.
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (16) : 1806 - 1826
  • [3] BAM-type Cohen-Grossberg neural networks with time delays
    Jiang, Haijun
    Cao, Jinde
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (1-2) : 92 - 103
  • [4] Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
    Li, Kelin
    Zhang, Liping
    Zhang, Xinhua
    Li, Zuoan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3970 - 3984
  • [5] Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
    Li, Xiaodi
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 292 - 307
  • [6] Positive invariant and global exponential attractive sets of neural networks with time-varying delays
    Liao, Xiaoxin
    Luo, Qi
    Zeng, Zhigang
    [J]. NEUROCOMPUTING, 2008, 71 (4-6) : 513 - 518
  • [7] New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type
    Liu, Jia
    Zong, Guangdeng
    [J]. NEUROCOMPUTING, 2009, 72 (10-12) : 2549 - 2555
  • [8] On Attracting Basins of Multiple Equilibria of a Class of Cellular Neural Networks
    Lu, Wenlian
    Wang, Lili
    Chen, Tianping
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (03): : 381 - 394
  • [9] Global exponential stability in Lagrange sense for neutral type recurrent neural networks
    Luo, Qi
    Zeng, Zhigang
    Liao, Xiaoxin
    [J]. NEUROCOMPUTING, 2011, 74 (04) : 638 - 645
  • [10] Global dissipativity of neural networks with both variable and unbounded delays
    Song, QK
    Zhao, ZJ
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 25 (02) : 393 - 401