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
  • [31] 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
  • [32] Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay
    Baocheng Li
    Nonlinear Dynamics, 2014, 76 : 1603 - 1610
  • [33] Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay
    Li, Baocheng
    NONLINEAR DYNAMICS, 2014, 76 (02) : 1603 - 1610
  • [34] Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay
    Wang, Guoliang
    Li, Zhiqiang
    Zhang, Qingling
    Yang, Chunyu
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 377 - 393
  • [35] Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay
    Pratap, A.
    Raja, R.
    Cao, Jinde
    Rajchakit, G.
    Alsaadi, Fuad E.
    NEUROCOMPUTING, 2018, 317 : 110 - 126
  • [36] Stochastic H∞ filtering for neural networks with leakage delay and mixed time-varying delays
    Ali, M. Syed
    Saravanakumar, R.
    Ahn, Choon Ki
    Karimi, Hamid Reza
    INFORMATION SCIENCES, 2017, 388 : 118 - 134
  • [37] Finite-time control of interconnected impulsive switched systems with time-varying delay
    Ren, Hangli
    Zong, Guangdeng
    Hou, Linlin
    Yi, Yang
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 276 : 143 - 157
  • [38] The passivity of neural networks with time-varying delay
    Luo, Jinnan
    Tian, Wenhong
    Zhong, Shouming
    Liao, Daixi
    Cheng, Jun
    Shi, Kaibo
    2019 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI 2019), 2019, : 2183 - 2188
  • [39] Finite-time Stability and Stabilization for a Class of Nonlinear Discrete-time Descriptor Switched Systems with Time-varying Delay
    Xu, You
    Zhu, Shuqian
    Ma, Shuping
    Han, Qint-Long
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 6025 - 6030
  • [40] H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-Varying Delay and Leakage Delay
    Ya-Jun Li
    Zhao-Wen Huang
    Jing-Zhao Li
    International Journal of Automation and Computing, 2019, 16 : 329 - 340