Novel global asymptotic stability conditions for hopfield neural networks with time delays

被引：0
|
作者：
Gao, Ming [1 ]
Cui, Baotong [1 ]
Sheng, Li [1 ]
机构：
[1] So Yangtze Univ, Res Ctr Control Sci & Engn, 1800 Lihu Rd, Wuxi 214122, Jiangsu, Peoples R China
来源：
ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS | 2007年 / 4491卷
基金：
中国国家自然科学基金;
关键词：
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 asymptotic stability of Hopfield neural networks with time delays is investigated. Some novel sufficient conditions are presented for the global stability of a given delayed Hopfield neural networks by constructing Lyapunov functional and using some well-known inequalities. A linear matrix inequality (LMI) approach is developed to establish sufficient conditions for the given neural networks. An illustrative example is provided to demonstrate the effectiveness of our theoretical results.
引用
收藏
页码：935 / +
页数：2
相关论文
共 50 条
  • [21] New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays
    Guang-Deng Zong Jia Liu Research Institute of Automation
    International Journal of Automation & Computing, 2009, 6 (04) : 415 - 419
  • [22] Novel Criterions for Global Asymptotic Stability of Static Neural Networks with Time-Varying Delays
    Wang, Li
    Yu, Xiaopeng
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 1115 - 1119
  • [23] Novel LMI Stability Criteria for Interval Hopfield Neural Networks with Time Delays
    Li, Xiaolin
    Jia, Jia
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 528 - 533
  • [24] Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays
    Yang, Rongni
    Gao, Huijun
    Shi, Peng
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (02): : 467 - 474
  • [25] New Global Asymptotic Stability Criteria of Hopfield Neural Network with Time-Varying Delays
    Wang, Zhengxia
    Yang, Degang
    Han, Fengqing
    Liang, Xinyuan
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 7125 - +
  • [26] Global exponential stability of impulsive Hopfield neural networks with delays
    Tang, Qing
    Liu, Anping
    Hao, Zutao
    Xia, Li
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 273 - 276
  • [27] Global exponential stability of a class of Hopfield neural networks with delays
    Liu, Wei
    Fu, Chaojin
    Hu, Hongchang
    NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08): : 1205 - 1209
  • [28] Global exponential stability of a class of Hopfield neural networks with delays
    Wei Liu
    Chaojin Fu
    Hongchang Hu
    Neural Computing and Applications, 2011, 20 : 1205 - 1209
  • [29] Global exponential stability of Hopfield neural networks with distributed delays
    Zhou, Jie
    Li, Shuyong
    Yang, Zhiguo
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (03) : 1513 - 1520
  • [30] GLOBAL EXPONENTIAL STABILITY IN HOPFIELD AND BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH TIME DELAYS
    RONG LIBIN LU WENLIAN CHEN TIANPING Laboratory of Nonlinear Science
    Chinese Annals of Mathematics, 2004, (02) : 255 - 262
12345