Aperiodically intermittent synchronization for switching complex networks dependent on topology structure

Abstract This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related liter...

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Main Authors:	Jie Gao, Jinde Cao
Format:	Article
Language:	English
Published:	Springer 2017-08-01
Series:	Advances in Difference Equations
Subjects:	pinning synchronization switching complex networks aperiodically intermittent control M-matrix
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1261-8

id	doaj-art-18341d27619246558ce56cf8d98eed9d
recordtype	oai_dc
spelling	doaj-art-18341d27619246558ce56cf8d98eed9d2018-08-21T11:09:03ZengSpringerAdvances in Difference Equations1687-18472017-08-012017111510.1186/s13662-017-1261-8Aperiodically intermittent synchronization for switching complex networks dependent on topology structureJie Gao0Jinde Cao1School of Sciences, Southwest Petroleum UniversitySchool of Mathematics, Southeast UniversityAbstract This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related literature. That is, only some switching topologies contain a directed spanning tree when zero-in-degree nodes are pinned. By using M-matrix theory and constructing multiple Lyapunov functions, some sufficient conditions are derived to achieve the aperiodically intermittent synchronization of switching complex networks. Finally, some numerical simulations are given to demonstrate the theoretical results.http://link.springer.com/article/10.1186/s13662-017-1261-8pinning synchronizationswitching complex networksaperiodically intermittent controlM-matrix
institution	Open Data Bank
collection	Open Access Journals
building	Directory of Open Access Journals
language	English
format	Article
author	Jie Gao Jinde Cao
spellingShingle	Jie Gao Jinde Cao Aperiodically intermittent synchronization for switching complex networks dependent on topology structure Advances in Difference Equations pinning synchronization switching complex networks aperiodically intermittent control M-matrix
author_facet	Jie Gao Jinde Cao
author_sort	Jie Gao
title	Aperiodically intermittent synchronization for switching complex networks dependent on topology structure
title_short	Aperiodically intermittent synchronization for switching complex networks dependent on topology structure
title_full	Aperiodically intermittent synchronization for switching complex networks dependent on topology structure
title_fullStr	Aperiodically intermittent synchronization for switching complex networks dependent on topology structure
title_full_unstemmed	Aperiodically intermittent synchronization for switching complex networks dependent on topology structure
title_sort	aperiodically intermittent synchronization for switching complex networks dependent on topology structure
publisher	Springer
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-08-01
description	Abstract This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related literature. That is, only some switching topologies contain a directed spanning tree when zero-in-degree nodes are pinned. By using M-matrix theory and constructing multiple Lyapunov functions, some sufficient conditions are derived to achieve the aperiodically intermittent synchronization of switching complex networks. Finally, some numerical simulations are given to demonstrate the theoretical results.
topic	pinning synchronization switching complex networks aperiodically intermittent control M-matrix
url	http://link.springer.com/article/10.1186/s13662-017-1261-8
_version_	1612681557806415872

Aperiodically intermittent synchronization for switching complex networks dependent on topology structure

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