Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods

Yuhong Liu; Hui Li; Qishui Zhong; Shouming Zhong

doi:10.1186/s13662-017-1173-7

Advances in Difference Equations (Apr 2017)

Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods

Yuhong Liu,
Hui Li,
Qishui Zhong,
Shouming Zhong

Affiliations

Yuhong Liu: School of Aeronautics and Astronautics, University of Electronic Science and Technology of China
Hui Li: School of Aeronautics and Astronautics, University of Electronic Science and Technology of China
Qishui Zhong: School of Aeronautics and Astronautics, University of Electronic Science and Technology of China
Shouming Zhong: School of Mathematical Sciences, University of Electronic Science and Technology of China

DOI: https://doi.org/10.1186/s13662-017-1173-7
Journal volume & issue: Vol. 2017, no. 1
pp. 1 – 17

Abstract

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Abstract This study investigates the problem of cluster generalized outer synchronization in community networks via pinning control with two different switch periods. Several pinning controllers have been designed to achieve linear generalized outer synchronization. Using Lyapunov stability theory, sufficient linear generalized outer synchronization criteria for community networks are derived. Finally, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

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Abstract

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