Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

doi:10.1088/1674-1056/23/5/050509

Abstract We deal with the problem of pinning sampled-data synchronization for a complex network with probabilistic time-varying coupling delay. The sampling period considered here is assumed to be less than a given bound. Without using the Kronecker product, a new synchronization error system is constructed by using the property of the random variable and input delay approach. Based on the Lyapunov theory, a delay-dependent pinning sampled-data synchronization criterion is derived in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI toolbox. Numerical examples are provided to demonstrate the effectiveness of the proposed scheme.

Keywords: complex network probabilistic time-varying coupling delay sampled-data synchronization pinning control

Received: 18 August 2013
Revised: 18 November 2013
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203049 and 61303020), the Natural Science Foundation of Shanxi Province of China (Grant No. 2013021018-3), and the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010).

Corresponding Authors: Wang Jian-An
E-mail: wangjianan588@163.com

About author: 05.45.Xt; 05.45.Gg

Cite this article:

Wang Jian-An (王健安), Nie Rui-Xing (聂瑞兴), Sun Zhi-Yi (孙志毅) Pinning sampled-data synchronization for complex networks with probabilistic coupling delay 2014 Chin. Phys. B 23 050509

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