Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances

This paper studies the problem of leader-following synchronization for complex networks subject to delayed impulsive disturbances, where two kinds of time delays considered exist in internal complex networks and impulsive disturbances. Some delay-dependent sufficient criteria are derived in terms of...

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Main Authors: Mingyue Li, Huanzhen Chen, Xiaodi Li
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5285046
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author Mingyue Li
Huanzhen Chen
Xiaodi Li
author_facet Mingyue Li
Huanzhen Chen
Xiaodi Li
author_sort Mingyue Li
collection DOAJ
description This paper studies the problem of leader-following synchronization for complex networks subject to delayed impulsive disturbances, where two kinds of time delays considered exist in internal complex networks and impulsive disturbances. Some delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs) by using the delayed impulsive differential inequality method. Moreover, a feedback controller is designed to realize desired synchronization via the established LMIs. Our proposed results show that the requirements of impulse intervals and impulse sizes are dropped, and delayed impulses and large scale impulses are allowed to coexist. Finally, some examples are given to show the effectiveness of the obtained results.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-e2c6ac643453472d85a3acebf97f00782025-02-03T01:20:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/52850465285046Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive DisturbancesMingyue Li0Huanzhen Chen1Xiaodi Li2School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, ChinaThis paper studies the problem of leader-following synchronization for complex networks subject to delayed impulsive disturbances, where two kinds of time delays considered exist in internal complex networks and impulsive disturbances. Some delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs) by using the delayed impulsive differential inequality method. Moreover, a feedback controller is designed to realize desired synchronization via the established LMIs. Our proposed results show that the requirements of impulse intervals and impulse sizes are dropped, and delayed impulses and large scale impulses are allowed to coexist. Finally, some examples are given to show the effectiveness of the obtained results.http://dx.doi.org/10.1155/2020/5285046
spellingShingle Mingyue Li
Huanzhen Chen
Xiaodi Li
Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
Complexity
title Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
title_full Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
title_fullStr Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
title_full_unstemmed Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
title_short Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances
title_sort synchronization analysis of complex dynamical networks subject to delayed impulsive disturbances
url http://dx.doi.org/10.1155/2020/5285046
work_keys_str_mv AT mingyueli synchronizationanalysisofcomplexdynamicalnetworkssubjecttodelayedimpulsivedisturbances
AT huanzhenchen synchronizationanalysisofcomplexdynamicalnetworkssubjecttodelayedimpulsivedisturbances
AT xiaodili synchronizationanalysisofcomplexdynamicalnetworkssubjecttodelayedimpulsivedisturbances