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

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

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,...

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Main Authors: Yuhong Liu, Hui Li, Qishui Zhong, Shouming Zhong
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Advances in Difference Equations
Subjects:
community networks
linear generalized outer synchronization
pinning control
Online Access:http://link.springer.com/article/10.1186/s13662-017-1173-7
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spelling doaj-f7832cb0238045e38a627297d1ec2e702020-11-24T20:43:04ZengSpringerOpenAdvances in Difference Equations1687-18472017-04-012017111710.1186/s13662-017-1173-7Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periodsYuhong Liu0Hui Li1Qishui Zhong2Shouming Zhong3School of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of ChinaAbstract 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.http://link.springer.com/article/10.1186/s13662-017-1173-7community networkslinear generalized outer synchronizationpinning control
collection DOAJ
language English
format Article
sources DOAJ
author Yuhong Liu
Hui Li
Qishui Zhong
Shouming Zhong
spellingShingle Yuhong Liu
Hui Li
Qishui Zhong
Shouming Zhong
Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
Advances in Difference Equations
community networks
linear generalized outer synchronization
pinning control
author_facet Yuhong Liu
Hui Li
Qishui Zhong
Shouming Zhong
author_sort Yuhong Liu
title Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
title_short Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
title_full Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
title_fullStr Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
title_full_unstemmed Cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
title_sort cluster linear generalized outer synchronization in community networks via pinning control with two different switch periods
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2017-04-01
description 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.
topic community networks
linear generalized outer synchronization
pinning control
url http://link.springer.com/article/10.1186/s13662-017-1173-7
work_keys_str_mv AT yuhongliu clusterlineargeneralizedoutersynchronizationincommunitynetworksviapinningcontrolwithtwodifferentswitchperiods
AT huili clusterlineargeneralizedoutersynchronizationincommunitynetworksviapinningcontrolwithtwodifferentswitchperiods
AT qishuizhong clusterlineargeneralizedoutersynchronizationincommunitynetworksviapinningcontrolwithtwodifferentswitchperiods
AT shoumingzhong clusterlineargeneralizedoutersynchronizationincommunitynetworksviapinningcontrolwithtwodifferentswitchperiods
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