Global exponential stability in Lagrange sense for recurrent neural networks with time delays

被引：87
|
作者：
Liao, Xiaoxin [3 ]
Luo, Qi [4 ]
Zeng, Zhigang [1 ]
Guo, Yunxia [2 ]
机构：
[1] Wuhan Univ Technol, Sch Automat, Wuhan 430070, Peoples R China
[2] Zhuhai Radio & TV Univ, Zhuhai 519000, Guangdong, Peoples R China
[3] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Hubei, Peoples R China
[4] Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 04期
关键词：
recurrent neural networks; Lagrange stability; global exponential attractivity; delays;
D O I：
10.1016/j.nonrwa.2007.03.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the global exponential stability in Lagrange sense for continuous recurrent neural networks (RNNs) with multiple time delays. Three different types of activation functions are considered, which include both bounded and unbounded activation functions. By constructing appropriate Lyapunov-like functions, we provide easily verifiable criteria for the boundedness and global exponential attractivity of RNNs. These results can be applied to analyze monostable as well as multistable neural networks. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1535 / 1557
页数：23
相关论文
共 50 条
  • [1] Global exponential stability in Lagrange sense for neutral type recurrent neural networks
    Luo, Qi
    Zeng, Zhigang
    Liao, Xiaoxin
    NEUROCOMPUTING, 2011, 74 (04) : 638 - 645
  • [2] Global exponential stability in a Lagrange sense for memristive recurrent neural networks with time-varying delays
    Zhang, Guodong
    Shen, Yi
    Xu, Chengjie
    NEUROCOMPUTING, 2015, 149 : 1330 - 1336
  • [3] Exponential stability in the Lagrange sense for Clifford-valued recurrent neural networks with time delays
    Rajchakit, G.
    Sriraman, R.
    Boonsatit, N.
    Hammachukiattikul, P.
    Lim, C. P.
    Agarwal, P.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [4] Exponential stability in the Lagrange sense for Clifford-valued recurrent neural networks with time delays
    G. Rajchakit
    R. Sriraman
    N. Boonsatit
    P. Hammachukiattikul
    C. P. Lim
    P. Agarwal
    Advances in Difference Equations, 2021
  • [5] Exponential stability in Lagrange sense for inertial neural networks with time-varying delays
    Lu, Shuang
    Gao, Yanbo
    NEUROCOMPUTING, 2019, 333 : 41 - 52
  • [6] Global exponential stability and periodicity of recurrent neural networks with time delays
    Cao, JD
    Wang, J
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) : 920 - 931
  • [7] Global exponential stability of memristor based uncertain neural networks with time-varying delays via Lagrange sense
    Suresh, R.
    Ali, M. Syed
    Saroha, Sumit
    JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2023, 35 (02) : 275 - 288
  • [8] Global exponential stability and periodic solutions of recurrent neural networks with delays
    Huang, H
    Cao, JD
    Wang, J
    PHYSICS LETTERS A, 2002, 298 (5-6) : 393 - 404
  • [9] Global exponential stability in Lagrange sense for periodic neural networks with various activation functions
    Wu, Ailong
    Zeng, Zhigang
    Fu, Chaojin
    Shen, Wenwen
    NEUROCOMPUTING, 2011, 74 (05) : 831 - 837
  • [10] Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays
    Shu, Hanqi
    Song, Qiankun
    Liang, Jing
    Zhao, Zhenjiang
    Liu, Yurong
    Alsaadi, Fuad E.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (04) : 858 - 870
12345