Finite-Time Stabilization of Coupled Systems on Networks with Time-Varying Delays via Periodically Intermittent Control

被引：10
作者：
Wu, Yongbao [1 ]
Liu, Yuntao [1 ]
Li, Wenxue [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2020年 / 22卷 / 01期
关键词：
Finite-time stabilization; coupled systems on networks; time-varying delays; periodically intermittent control; Kirchhoff's Matrix Tree Theorem; COMPLEX DYNAMICAL NETWORKS; STOCHASTIC NONLINEAR-SYSTEMS; H-INFINITY CONTROL; NEURAL-NETWORKS; GLOBAL SYNCHRONIZATION; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; REACTION-DIFFUSION; JUMP SYSTEMS; MIXED DELAYS;
D O I：
10.1002/asjc.1876
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, finite-time stabilization of coupled systems on networks with time-varying delays (CSNTDs) via periodically intermittent control is studied. Both delayed subsystems and delayed couplings are considered; the self-delays of different subsystems in delayed couplings are not identical. A periodically intermittent controller is designed to stabilize CSNTDs within finite time, and the stabilization duration is closely related to the topological structures of networks. Furthermore, two sufficient criteria are developed to ensure CSNTDs under periodically intermittent control can be stabilized within finite time by using an approach that combines the Lyapunov method with Kirchhoff's Matrix Tree Theorem. Then finite-time stabilization of coupled oscillators with time-varying delays is given as a practical application and sufficient criteria is obtained. Finally, a numerical simulation is proposed to support our results and show the effectiveness of the controller.
引用
收藏
页码：228 / 239
页数：12
相关论文
共 54 条
  • [1] Continuous finite-time stabilization of the translational and rotational double integrators
    Bhat, SP
    Bernstein, DS
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) : 678 - 682
  • [2] Finite-time stability of continuous autonomous systems
    Bhat, SP
    Bernstein, DS
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) : 751 - 766
  • [3] Global synchronization in arrays of delayed neural networks with constant and delayed coupling
    Cao, JD
    Li, P
    Wang, WW
    [J]. PHYSICS LETTERS A, 2006, 353 (04) : 318 - 325
  • [4] Global synchronization in an array of delayed neural networks with hybrid coupling
    Cao, Jinde
    Chen, Guanrong
    Li, Ping
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02): : 488 - 498
  • [5] Direct adaptive fuzzy control of nonlinear strict-feedback systems
    Chen, Bing
    Liu, Xiaoping
    Liu, Kefu
    Lin, Chong
    [J]. AUTOMATICA, 2009, 45 (06) : 1530 - 1535
  • [6] Finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals
    Cheng, Jun
    Zhu, Hong
    Zhong, Shouming
    Zeng, Yong
    Dong, Xiucheng
    [J]. ISA TRANSACTIONS, 2013, 52 (06) : 768 - 774
  • [7] Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control
    Fan, Yihan
    Liu, Hongmei
    Zhu, Yonggang
    Mei, Jun
    [J]. NEUROCOMPUTING, 2016, 205 : 182 - 194
  • [8] Finite-time synchronization analysis for general complex dynamical networks with hybrid couplings and time-varying delays
    Feng, Jianwen
    Li, Na
    Zhao, Yi
    Xu, Chen
    Wang, Jingyi
    [J]. NONLINEAR DYNAMICS, 2017, 88 (04) : 2723 - 2733
  • [9] Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers
    Fu, Jun
    Ma, Ruicheng
    Chai, Tianyou
    [J]. AUTOMATICA, 2015, 54 : 360 - 373
  • [10] Exponential synchronization of stochastic Cohen-Grossberg neural networks with mixed time-varying delays and reaction-diffusion via periodically intermittent control
    Gan, Qintao
    [J]. NEURAL NETWORKS, 2012, 31 : 12 - 21
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