Exponential convergence for high-order recurrent neural networks with a class of general activation functions

被引:12
|
作者
Zhang, Hong [1 ]
Wang, Wentao [2 ]
Xiao, Bing [1 ]
机构
[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China
[2] Jiaxing Univ, Coll Math & Informat Sci, Jiaxing 314001, Zhejiang, Peoples R China
关键词
High-order recurrent neural networks; Exponential convergence; Delays; General activation functions; LMI-BASED CRITERIA; STABILITY; BEHAVIOR; DELAYS;
D O I
10.1016/j.apm.2010.05.011
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we consider high-order recurrent neural networks with a class of general activation functions. By using some mathematical analysis techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:123 / 129
页数:7
相关论文
共 50 条
  • [1] Multistability and multiperiodicity of high-order competitive neural networks with a general class of activation functions
    Nie, Xiaobing
    Huang, Zhenkun
    NEUROCOMPUTING, 2012, 82 : 1 - 13
  • [2] Multistability and complete convergence analysis on high-order neural networks with a class of nonsmooth activation functions
    Wang, Lili
    Chen, Tianping
    NEUROCOMPUTING, 2015, 152 : 222 - 230
  • [3] Global exponential convergence for delayed cellular neural networks with a class of general activation functions
    Shao, Jianying
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1816 - 1821
  • [4] Global exponential stability for recurrent neural networks with a general class of activation functions and variable delays
    Zhou, DM
    Zhang, LM
    Zhao, DF
    PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 108 - 111
  • [5] Absolute exponential stability of neural networks with a general class of activation functions
    Liang, XB
    Wang, J
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (08): : 1258 - 1263
  • [6] On exponential stability of delayed neural networks with a general class of activation functions
    Sun, CY
    Zhang, KJ
    Fei, SM
    Feng, CB
    PHYSICS LETTERS A, 2002, 298 (2-3) : 122 - 132
  • [7] Exponential synchronization of high-order recurrent neural networks with mixed delays
    Brahmi, Hajer
    Ammar, Boudour
    Cherif, Farouk
    Alimi, Adel M.
    2015 15TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND APPLICATIONS (ISDA), 2015, : 335 - 340
  • [8] Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions
    Wan, AH
    Wang, MS
    Peng, J
    Qiao, H
    PHYSICS LETTERS A, 2006, 350 (1-2) : 96 - 102
  • [9] Exponential convergence of a gradient descent algorithm for a class of recurrent neural networks
    Bartlett, P
    Dasgupta, S
    38TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, PROCEEDINGS, VOLS 1 AND 2, 1996, : 497 - 500
  • [10] Local Stability Analysis of High-Order Recurrent Neural Networks with Multi-Step Piecewise Linear Activation Functions
    Huang, Yujiao
    Zhang, Huaguang
    Yang, Dongsheng
    PROCEEDINGS OF THE 2013 IEEE SYMPOSIUM ON ADAPTIVE DYNAMIC PROGRAMMING AND REINFORCEMENT LEARNING (ADPRL), 2013, : 1 - 5