Stabilization of fractional-order coupled systems with time delay on networks

被引：0
|
作者：
Liping Chen
Ranchao Wu
Zhaobi Chu
Yigang He
机构：
[1] Hefei University of Technology,School of Electrical Engineering and Automation
[2] Anhui University,School of Mathematics
来源：
Nonlinear Dynamics | 2017年 / 88卷
关键词：
Fractional-order; Coupled system; State feedback; Network; Delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Stabilization problem for a class of fractional-order nonlinear coupled systems on networks is addressed in the paper. By using Kirchhoff’s matrix tree theory and comparison principle, a state feedback control law is presented to stabilize such systems. The controller design approach could be adapted to many classes of fractional-order delayed coupled systems in ecology, biology and engineering. An example is presented to illustrate the effectiveness of our proposed method.
引用
收藏
页码：521 / 528
页数：7
相关论文
共 50 条
  • [21] Design of Functional Fractional-Order Observers for Linear Time-Delay Fractional-Order Systems in the Time Domain
    Boukal, Y.
    Darouach, M.
    Zasadzinski, M.
    Radhy, N. E.
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [22] Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems
    Jin, Xiao-Chuang
    Lu, Jun-Guo
    EUROPEAN JOURNAL OF CONTROL, 2022, 67
  • [23] State Estimation of Fractional-Order Neural Networks with Time Delay
    Bao, Haibo
    Cao, Jinde
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 1573 - 1577
  • [24] Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems
    Jin, Xiao-Chuang
    Lu, Jun-Guo
    European Journal of Control, 2022, 67
  • [25] Adaptive Synchronization of Fractional-Order Nonlinearly Coupled Complex Networks With Time Delay and External Disturbances
    Pei, Jihong
    Fan, Hongguang
    Zhao, Yi
    Feng, Jianwen
    IEEE ACCESS, 2018, 6 : 4653 - 4663
  • [26] Stability Analysis of Fractional-Order Neural Networks with Time Delay
    Wang, Hu
    Yu, Yongguang
    Wen, Guoguang
    Zhang, Shuo
    NEURAL PROCESSING LETTERS, 2015, 42 (02) : 479 - 500
  • [27] Stability Analysis of Fractional-Order Neural Networks with Time Delay
    Hu Wang
    Yongguang Yu
    Guoguang Wen
    Shuo Zhang
    Neural Processing Letters, 2015, 42 : 479 - 500
  • [28] Delay-Dependent and Order-Dependent Stability and Stabilization of Fractional-Order Linear Systems With Time-Varying Delay
    Chen, Liping
    Wu, Ranchao
    Cheng, Yuan
    Chen, YangQuan
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2020, 67 (06) : 1064 - 1068
  • [29] Stabilization of unstable first-order time-delay systems using fractional-order PD controllers
    Cheng, YC
    Hwang, CY
    JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2006, 29 (02) : 241 - 249
  • [30] Robust stabilization of interval fractional-order plants with an interval time delay by fractional-order proportional integral derivative controllers
    Ghorbani, Majid
    Tepljakov, Aleksei
    Petlenkov, Eduard
    IET CONTROL THEORY AND APPLICATIONS, 2024, 18 (05): : 614 - 625
12345