An improved global exponential stability criterion for delayed neural networks

被引：8
作者：
Liu, Kaiyu [1 ]
Zhang, Hongqiang [2 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Coll Math & Comput Sci, Changsha 410076, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Global exponential stability; Neural networks; Linear matrix inequality; Halanay inequality; Bellman inequality; TIME-VARYING DELAYS; ASYMPTOTIC STABILITY; DYNAMICS;
D O I：
10.1016/j.nonrwa.2008.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) technique, a criterion is derived to guarantee the global exponential stability of the class of delayed neural networks with time-varying delays, which generalizes and improves previous results. Numerical examples demonstrate the effectiveness of the criterion. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2613 / 2619
页数：7
相关论文
共 14 条
  • [1] Global asymptotic stability of a larger class of neural networks with constant time delay
    Arik, S
    [J]. PHYSICS LETTERS A, 2003, 311 (06) : 504 - 511
  • [2] An analysis of global asymptotic stability of delayed cellular neural networks
    Arik, S
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05): : 1239 - 1242
  • [3] Boyd S., 1994, SIAM STUDIES APPL MA LINEAR MATRIX INEQUA, V15
  • [4] A set of stability criteria for delayed cellular neural networks
    Cao, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04): : 494 - 498
  • [5] Global stability conditions for delayed CNNs
    Cao, J.
    [J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11): : 1330 - 1333
  • [6] Stability analysis of delayed cellular neural networks
    Cao, JD
    Zhou, DM
    [J]. NEURAL NETWORKS, 1998, 11 (09) : 1601 - 1605
  • [7] Stability analysis for neural dynamics with time-varying delays
    Hou, CH
    Qian, JX
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 1998, 9 (01): : 221 - 223
  • [8] Results concerning the absolute stability of delayed neural networks
    Joy, M
    [J]. NEURAL NETWORKS, 2000, 13 (06) : 613 - 616
  • [9] Liao TL, 2000, IEEE T NEURAL NETWOR, V11, P1481, DOI 10.1109/72.883480
  • [10] Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach
    Liao, XF
    Chen, GR
    Sanchez, EN
    [J]. NEURAL NETWORKS, 2002, 15 (07) : 855 - 866
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