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

页码：228 / 239

页数：12

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