Novel finite-time synchronization criteria for coupled network systems with time-varying delays via event-triggered control

Wenxia Cui,Zhenjie Wang,Wenbin Jin

doi:10.1186/s13662-020-02649-2

Abstract

This paper is concerned with the finite-time synchronization of coupled networks with time-varying delays. We work without applying the finite-time stability theorem, which is widely used in finite-time synchronization for complex networks or finite-time consensus problems for multi-agent systems. We construct a novel Lyapunov functional and apply some new analytical techniques. Sufficient conditions are obtained to ensure synchronization within a setting time with no Zeno behaviors. The obtained conditions do not contain any uncertain parameter. The controllers are presented based on event-driven strategies, which can significantly reduce the communication consumption and the frequency of the controller updates. And the setting time is related to initial values of the network. Finally, numerical examples are examined to illustrate the effectiveness of the analytical results.

Highlights

A coupled system is a suitable model for many distributed phenomena in communication engineering, economics and biological science [1,2,3]
Finite-time control technique has been introduced in the continuous systems [12, 13]
As for finite-time synchronization problems, most of the existing results focused on non-delayed network systems by using finite-time stability theorem [11, 14, 17]

Summary

Introduction

A coupled system is a suitable model for many distributed phenomena in communication engineering, economics and biological science [1,2,3]. The finite-time control technique has been extensively used to synchronize networks [11, 14,15,16,17]. The authors of [15] designed the new controller, which utilize the 1 norm to avoid the chattering phenomenon in realizing finite-time synchronization of coupled networks without time delays.

Results

Conclusion