Exponential synchronization in complex-variable network with distributed delays via intermittent control

Sulan He (), Guisheng Yi () and Zhaoyan Wu
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Sulan He: College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China
Guisheng Yi: College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China
Zhaoyan Wu: College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 07, 1-13

Abstract: In this paper, exponential synchronization in complex-variable network with distributed delays is investigated. By utilizing intermittent control scheme, some effective controllers are designed. Based on the Lyapunov function method and mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.

Keywords: Synchronization; distributed delays; complex-variable network; intermittent control (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117500899

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