Successive lag synchronization on dynamical networks with communication delay

doi:10.1088/1674-1056/25/3/038901

Abstract In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

Keywords: successive lag synchronization dynamical network communication delay feedback control

Received: 29 May 2015
Revised: 20 September 2015
Accepted manuscript online:

PACS:	89.75.Hc	(Networks and genealogical trees)
	05.45.Xt	(Synchronization; coupled oscillators)
	89.75.-k	(Complex systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61004101), the Natural Science Foundation Program of Guangxi Province, China (Grant No. 2015GXNSFBB139002), the Graduate Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472), and the Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, China.

Corresponding Authors: Ke-Zan Li
E-mail: kezanli@163.com

Cite this article:

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), Ke-Zan Li(李科赞) Successive lag synchronization on dynamical networks with communication delay 2016 Chin. Phys. B 25 038901

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