Eur. Phys. J. B (2016) 89: 43
https://doi.org/10.1140/epjb/e2016-60935-7

Regular Article

Finite-time synchronization of complex dynamical networks with multi-links via intermittent controls

¹ School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China
² School of Science, Shandong University of Technology, Zibo 255000, P.R. China
³ Information Security Center, State Key Laboratory of Networking and Switching Technology, National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China

^a e-mail: lilixiang2006@163.com

Received: 2 December 2015
Received in final form: 11 January 2016
Published online: 15 February 2016

Abstract

This paper considers finite-time synchronization of complex multi-links dynamical networks with or without internal time delays via intermittent controls. Two simple intermittent feedback controllers are designed to achieve finite-time synchronization between the drive and response system. Some novel and effective finite-time synchronization criteria are derived based on finite-time stability analysis techniques. By constructing suitable Lyapunov functions, we theoretically prove its correctness. Finally, two numerical simulation examples are given to show the effectiveness of proposed method in this paper.