Finite-Time Stabilization for Static Neural Networks with Leakage Delay and Time-Varying Delay

被引:0
|
作者
Xiaoyu Zhang
Yuan Yuan
Xiaodi Li
机构
[1] Shandong Normal University,School of Mathematics and Statistics
[2] Southwest University,Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering
[3] Memorial University of Newfoundland,Department of Mathematics and Statistics
来源
Neural Processing Letters | 2020年 / 51卷
关键词
Finite-time stability; Static neural networks; Time-varying delay; Leakage delay; Linear matrix inequality (LMI);
D O I
暂无
中图分类号
学科分类号
摘要
The problem of finite-time stabilization (FTS) for static neural networks (SNNs) with leakage delay and time-varying delay is investigated in this paper. By introducing an auxiliary function and utilizing the Lyapunov stability theory, we derive some sufficient criteria for FTS in terms of linear matrix inequalities (LMIs). Two feedback controllers are designed based on two different Lyapunov functions, which can be easily solved via MATLAB LMI toolbox, to guarantee the FTS for the SNNs. Finally, two numerical examples are given to illustrate the efficiency of our results.
引用
收藏
页码:67 / 81
页数:14
相关论文
共 50 条
  • [41] Finite-time stabilization of uncertain neural networks with distributed time-varying delays
    Shiju Yang
    Chuandong Li
    Tingwen Huang
    Neural Computing and Applications, 2017, 28 : 1155 - 1163
  • [42] State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays
    Liang, Jing
    Chen, Zengshun
    Song, Qiankun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [43] GUARANTEED COST STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAY
    He, Hanlin
    Yan, Lu
    Tu, Jianjun
    ASIAN JOURNAL OF CONTROL, 2013, 15 (04) : 1224 - 1227
  • [44] A study on state estimation for discrete-time recurrent neural networks with leakage delay and time-varying delay
    Qiu, Sai-Bing
    Liu, Xin-Ge
    Shu, Yan-Jun
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [45] H∞ state estimation of static neural networks with time-varying delay
    Duan, Qihui
    Su, Hongye
    Wu, Zheng-Guang
    NEUROCOMPUTING, 2012, 97 : 16 - 21
  • [46] A study on state estimation for discrete-time recurrent neural networks with leakage delay and time-varying delay
    Sai-Bing Qiu
    Xin-Ge Liu
    Yan-Jun Shu
    Advances in Difference Equations, 2016
  • [47] Finite-Time Stabilization for Singular Linear Time-delay Systems with Time-varying Exogenous Disturbance
    Su, Min
    Wang, Shuwei
    Zhang, Xian
    MECHATRONICS AND INTELLIGENT MATERIALS II, PTS 1-6, 2012, 490-495 : 2459 - 2463
  • [48] Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay
    Zhang, Zhuo
    Zhang, Zexu
    Zhang, Hui
    Zheng, Bo
    Karimi, Hamid Reza
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (06): : 3457 - 3476
  • [49] Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay
    Baocheng Li
    Nonlinear Dynamics, 2014, 76 : 1603 - 1610
  • [50] Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay
    Li, Baocheng
    NONLINEAR DYNAMICS, 2014, 76 (02) : 1603 - 1610