Global Exponential Stability of High-Order Hopfield Neural Networks with Time Delays

被引：0
|
作者：
Qiu, Jianlong [1 ,2 ]
Cheng, Quanxin [3 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
[2] Linyi Normal Univ, Dept Math, Linyi 276005, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009) | 2009年 / 56卷
基金：
中国国家自然科学基金;
关键词：
ASYMPTOTIC STABILITY;
D O I：
暂无
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, the global exponential stability is studied for a class of high-order Hopfield neural networks (HHNNs) with time delays by employing Lyapunov method and linear matrix inequality (LMI) technique. Simple sufficient conditions are given ensuring global exponential stability of HHNNs. The proposed results improve some previous works and do not require the symmetry of weight matrix. In addition, the proposed conditions are easily checked by using the Matlab LMI Control Toolbox.
引用
下载
收藏
页码：39 / +
页数：2
相关论文
共 50 条
  • [41] Global exponential stability of Hopfield neural networks with continuously distributed delays
    Zhang, Q
    Wei, XP
    Xu, J
    PHYSICS LETTERS A, 2003, 315 (06) : 431 - 436
  • [42] New Criteria for Global Exponential Stability of Discrete-Time High-Order Neural Networks with Time-Varying Delays
    Dong, Zeyu
    Yang, Xin
    Zhang, Xian
    Wang, Xin
    2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 944 - 949
  • [43] Exponential Stability of High-Order Fuzzy Cellular Neural Networks with Time-Varying Delays
    Jiang, Haijun
    Guo, Bianjing
    Teng, Zhidong
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 413 - 422
  • [44] Exponential stability of impulsive high-order cellular neural networks with time-varying delays
    Huang, Zaitang
    Yang, Qi-Gui
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 592 - 600
  • [45] Exponential stability of stochastic high-order BAM neural networks with time delays and impulsive effects
    Lu, Danjie
    Li, Chaojie
    NEURAL COMPUTING & APPLICATIONS, 2013, 23 (01): : 1 - 8
  • [46] Global exponential stability of high-order bidirectional associative memory (BAM) neural networks with time delays in leakage terms
    Wang, Fen
    Liu, Meichun
    NEUROCOMPUTING, 2016, 177 : 515 - 528
  • [47] Novel Exponential Stability Criteria of High-Order Neural Networks With Time-Varying Delays
    Zheng, Cheng-De
    Zhang, Huaguang
    Wang, Zhanshan
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (02): : 486 - 496
  • [48] Exponential stability of stochastic high-order BAM neural networks with time delays and impulsive effects
    Danjie Lu
    Chaojie Li
    Neural Computing and Applications, 2013, 23 : 1 - 8
  • [49] Existence and Global Exponential Stability of Almost Periodic Solution for High-Order BAM Neural Networks with Delays on Time Scales
    Li, Yongkun
    Wang, Chao
    Li, Xia
    NEURAL PROCESSING LETTERS, 2014, 39 (03) : 247 - 268
  • [50] Existence and Global Exponential Stability of Almost Periodic Solution for High-Order BAM Neural Networks with Delays on Time Scales
    Yongkun Li
    Chao Wang
    Xia Li
    Neural Processing Letters, 2014, 39 : 247 - 268
12345