Cluster synchronization of fractional-order directed networks via intermittent pinning control

Jiaying Zhou; Yi Zhao; Zhao Yan Wu

doi:10.1016/j.physa.2018.12.032

Cluster synchronization of fractional-order directed networks via intermittent pinning control

Jiaying Zhou
, Yi Zhao^*
, Zhao Yan Wu

^*Corresponding author for this work

Jiangxi Normal University
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

In this paper, cluster synchronization of fractional-order directed network is investigated. The intermittent pinning control scheme is adopted to design effective controllers for achieving the cluster synchronization. Only the first node in each cluster needs to be controlled. Based on the Lyapunov function method and mathematical analysis technique, some sufficient conditions of cluster synchronization in the given network are derived and demonstrated to be effective by diverse numerical examples.

Original language	English
Pages (from-to)	22-33
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	519
DOIs	https://doi.org/10.1016/j.physa.2018.12.032
State	Published - 1 Apr 2019
Externally published	Yes

Keywords

Cluster synchronization
Dynamical network
Fractional-order
Intermittent pinning control

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10.1016/j.physa.2018.12.032

Cite this

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title = "Cluster synchronization of fractional-order directed networks via intermittent pinning control",

abstract = "In this paper, cluster synchronization of fractional-order directed network is investigated. The intermittent pinning control scheme is adopted to design effective controllers for achieving the cluster synchronization. Only the first node in each cluster needs to be controlled. Based on the Lyapunov function method and mathematical analysis technique, some sufficient conditions of cluster synchronization in the given network are derived and demonstrated to be effective by diverse numerical examples.",

keywords = "Cluster synchronization, Dynamical network, Fractional-order, Intermittent pinning control",

author = "Jiaying Zhou and Yi Zhao and Wu, \{Zhao Yan\}",

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AU - Zhou, Jiaying

AU - Zhao, Yi

AU - Wu, Zhao Yan

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In this paper, cluster synchronization of fractional-order directed network is investigated. The intermittent pinning control scheme is adopted to design effective controllers for achieving the cluster synchronization. Only the first node in each cluster needs to be controlled. Based on the Lyapunov function method and mathematical analysis technique, some sufficient conditions of cluster synchronization in the given network are derived and demonstrated to be effective by diverse numerical examples.

AB - In this paper, cluster synchronization of fractional-order directed network is investigated. The intermittent pinning control scheme is adopted to design effective controllers for achieving the cluster synchronization. Only the first node in each cluster needs to be controlled. Based on the Lyapunov function method and mathematical analysis technique, some sufficient conditions of cluster synchronization in the given network are derived and demonstrated to be effective by diverse numerical examples.

KW - Cluster synchronization

KW - Dynamical network

KW - Fractional-order

KW - Intermittent pinning control

UR - https://www.scopus.com/pages/publications/85059099427

U2 - 10.1016/j.physa.2018.12.032

DO - 10.1016/j.physa.2018.12.032

M3 - 文章

AN - SCOPUS:85059099427

SN - 0378-4371

VL - 519

SP - 22

EP - 33

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Cluster synchronization of fractional-order directed networks via intermittent pinning control

Abstract

Keywords

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