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
  • [1] Finite-Time Stabilization for Static Neural Networks with Leakage Delay and Time-Varying Delay
    Zhang, Xiaoyu
    Yuan, Yuan
    Li, Xiaodi
    NEURAL PROCESSING LETTERS, 2020, 51 (01) : 67 - 81
  • [2] Finite-time boundedness and stabilization of uncertain switched neural networks with time-varying delay
    Wu, Yuanyuan
    Cao, Jinde
    Alofi, Abdulaziz
    AL-Mazrooei, Abdullah
    Elaiw, Ahmed
    NEURAL NETWORKS, 2015, 69 : 135 - 143
  • [3] On H∞ Finite-Time Boundedness and Finite-Time Stability for Discrete-Time Neural Networks with Leakage Time-Varying Delay
    Tuan, Le A.
    NEURAL PROCESSING LETTERS, 2024, 56 (01)
  • [4] Finite-Time Stabilization of Memristive Cohen-Grossberg Neural Networks with Time-Varying Delay
    Li, Ge
    Li, Yaqiong
    Yuan, Zhaohui
    COMPLEXITY, 2018,
  • [5] Finite-Time Stabilization of Memristor Neural Networks with Time-Varying Delay: Interval Matrix Method
    Wei, Fei
    Chen, Guici
    Cheng, Tianqi
    2020 12TH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTATIONAL INTELLIGENCE (ICACI), 2020, : 72 - 78
  • [6] Finite-Time Stability of Neural Networks with Impulse Effects and Time-Varying Delay
    Tan, Jie
    Li, Chuandong
    NEURAL PROCESSING LETTERS, 2017, 46 (01) : 29 - 39
  • [7] Finite-time -gain analysis for switched neural networks with time-varying delay
    Ali, M. Syed
    Saravanan, S.
    NEURAL COMPUTING & APPLICATIONS, 2018, 29 (04): : 975 - 984
  • [8] Finite-Time Stability of Neural Networks with Impulse Effects and Time-Varying Delay
    Jie Tan
    Chuandong Li
    Neural Processing Letters, 2017, 46 : 29 - 39
  • [9] Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays
    Muthukumar, P.
    Subramanian, K.
    Lakshmanan, S.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (16): : 4091 - 4113
  • [10] Finite-time passivity of neural networks with time varying delay
    Xiao, Jian
    Zeng, Zhigang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (04): : 2437 - 2456