Adaptive impulsive cluster synchronization in community network with nonidentical nodes

Xiaoli Gong (), Luyining Gan () and Zhaoyan Wu ()
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Xiaoli Gong: College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China
Luyining Gan: 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), 2016, vol. 27, issue 01, 1-15

Abstract: In this paper, cluster synchronization in community network with nonidentical nodes is investigated. Through introducing proper adaptive strategy into impulsive control scheme, adaptive impulsive controllers are designed for achieving the cluster synchronization. In this adaptive impulsive control scheme, for any given networks, the impulsive gains can adjust themselves to proper values according to the proposed adaptive strategy when the impulsive intervals are fixed. The impulsive instants can be estimated by solving a sequence of maximum value problems when the impulsive gains are fixed. Both community networks without and with coupling delay are considered. Based on the Lyapunov function method and mathematical analysis technique, two synchronization criteria are derived. Several numerical examples are performed to verify the effectiveness of the derived theoretical results.

Keywords: Cluster synchronization; community network; impulsive control (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183116500108

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