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...
Saved in:
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2020-01-01
|
Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2020/5285046 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832563323715977216 |
---|---|
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. |
format | Article |
id | doaj-art-e2c6ac643453472d85a3acebf97f0078 |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
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 |