Global Exponential Stability Analysis for Recurrent Neural Networks with Time-varying Delay

被引:0
|
作者
Guo, Xiaoli [1 ]
Li, Qingbo [1 ]
Chen, Yonggang [2 ]
Wu, Yuanyuan [3 ]
机构
[1] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China
[2] Henan Inst Sci Technol, Dept Math, Xinxiang 453003, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
关键词
Static neural networks; Time-varying delay; Global exponential stability; Linear matrix inequalities (LMIs); ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; DEPENDENT STABILITY; LMI APPROACH; DISCRETE; CRITERIA;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This letter deals with the exponential stability problem for static recurrent neural networks (RNNs) with time-varying delay. By Lyapunov functional method and linear matrix inequality technique, some novel delay-dependent criteria are established to ensure the exponential stability of the considered neural network. The proposed exponential stability criteria are expressed in terms of linear matrix inequalities, and can be checked using the recently developed algorithms. A numerical example is given to show that the obtained criteria can provide less conservative results than some existing ones.
引用
收藏
页码:2976 / +
页数:2
相关论文
共 50 条
  • [1] Global exponential stability of recurrent neural networks with time-varying delay
    Shen, Yi
    Liu, Meiqin
    Xu, Xiaodong
    ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 122 - 128
  • [2] Novel Global Exponential Stability Criterion for Recurrent Neural Networks with Time-Varying Delay
    Luo, Wenguang
    Wang, Xiuling
    Liu, Yonghua
    Lan, Hongli
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Exponential stability analysis for neural networks with time-varying delay
    Wu, Min
    Liu, Fang
    Shi, Peng
    He, Yong
    Yokoyama, Ryuichi
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (04): : 1152 - 1156
  • [4] On global exponential stability of positive neural networks with time-varying delay
    Le Van Hien
    NEURAL NETWORKS, 2017, 87 : 22 - 26
  • [5] Stability analysis for recurrent neural networks with time-varying delay
    Wu Y.-Y.
    Wu Y.-Q.
    International Journal of Automation and Computing, 2009, 6 (03) : 223 - 227
  • [6] Stability Analysis for Recurrent Neural Networks with Time-varying Delay
    Yuan-Yuan Wu1 Yu-Qiang Wu2
    International Journal of Automation & Computing, 2009, 6 (03) : 223 - 227
  • [7] Delay-dependent global exponential stability for neural networks with time-varying delay
    Yang, Bin
    Hao, Mengnan
    Cao, Junjun
    Zhao, Xudong
    NEUROCOMPUTING, 2019, 338 : 172 - 180
  • [8] Further Results on Exponential Robust Stability Analysis for Recurrent Neural Networks With Time-Varying Delay
    Liu, Pin-Lin
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2015, 137 (04):
  • [9] New global exponential stability criterion for neural networks with time-varying delay
    Tang Hongji
    Han Yanwu
    Xiao Xiaoqing
    Pan Rui
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 220 - 225
  • [10] Global Exponential Stability of Recurrent Neural Networks with Pure Time-varying Delays
    Zeng, Zhigang
    Chen, Huangqiong
    Wen, Shiping
    2008 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-8, 2008, : 887 - 892