The globally asymptotic stability analysis for a class of recurrent neural networks with delays

被引:0
|
作者
Xingguo Song
Haibo Gao
Liang Ding
Deyou Liu
Minghui Hao
机构
[1] Harbin Institute of Technology,State Key Laboratory of Robotics and System
[2] Yanshan University,undefined
来源
关键词
Neural networks (NN); Global asymptotic stability (GAS); Equilibrium point; Delay; Lie algebra;
D O I
暂无
中图分类号
学科分类号
摘要
This paper considers the problem of global stability of neural networks with delays. By combining Lie algebra and the Lyapunov function with the integral inequality technique, we analyze the globally asymptotic stability of a class of recurrent neural networks with delays and give an estimate of the exponential stability. A few new sufficient conditions and criteria are proposed to ensure globally asymptotic stability of the equilibrium point of the neural networks. A few simulation examples are presented to demonstrate the effectiveness of the results and to improve feasibility.
引用
下载
收藏
页码:587 / 595
页数:8
相关论文
共 50 条
  • [1] The globally asymptotic stability analysis for a class of recurrent neural networks with delays
    Song, Xingguo
    Gao, Haibo
    Ding, Liang
    Liu, Deyou
    Hao, Minghui
    NEURAL COMPUTING & APPLICATIONS, 2013, 22 (3-4): : 587 - 595
  • [2] Globally asymptotic stability of a class of neutral-type neural networks with delays
    Cheng, Chao-Jung
    Liao, Teh-Lu
    Yan, Jun-Juh
    Hwang, Chi-Chuan
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05): : 1191 - 1195
  • [3] Globally asymptotic stability and globally exponential stability of a class of delayed cellular neural networks
    Zhang, Fa-Ming
    Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology), 2005, 36 (01): : 128 - 132
  • [4] Globally Exponential Stability of a class of Neural Networks with Variable Delays
    Yang, Jianfu
    Liu, Ren
    Yang, Fengjian
    Li, Wei
    Gao, Chuanxiang
    Wu, Dongqing
    2009 SECOND INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING: KAM 2009, VOL 2, 2009, : 174 - +
  • [5] New results for globally asymptotic stability and instability of recurrent neural networks
    Zhang Yutian
    Luo Qi
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 4, 2007, : 162 - +
  • [6] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    Cao, J
    Wang, J
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) : 34 - 44
  • [7] Globally Exponential Stability of a Class of Neural Networks with Impulses and Variable Delays
    Yang, Jianfu
    Sun, Hongying
    Yang, Fengjian
    Li, Wei
    Wu, Dongqing
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 711 - 718
  • [8] On global asymptotic stability of a class of neural networks with time delays
    Shao, Jin-Liang
    Huang, Ting-Zhu
    PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2006, : 4120 - +
  • [9] Globally Exponential Stability of a Class of Impulsive Neural Networks with Variable Delays
    Yang, Jianfu
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    Gao, Chuanxiang
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3166 - 3170
  • [10] Global asymptotic stability of a class of neural networks with distributed delays
    Chen, WH
    Zheng, WX
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (03) : 644 - 652