Consensus Analysis for Third-Order Multiagent Systems in Directed Networks

We investigate consensus problem for third-order multiagent dynamical systems in directed graph. Necessary and sufficient conditions to consensus of third-order multiagent systems have been established under three different protocols. Compared with existing results, we focus on the relationship betw...

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Main Authors: Yanfen Cao, Yuangong Sun
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/940823
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spelling doaj-990883df2bd84d9890956e63145b936d2020-11-24T21:02:53ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/940823940823Consensus Analysis for Third-Order Multiagent Systems in Directed NetworksYanfen Cao0Yuangong Sun1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaWe investigate consensus problem for third-order multiagent dynamical systems in directed graph. Necessary and sufficient conditions to consensus of third-order multiagent systems have been established under three different protocols. Compared with existing results, we focus on the relationship between the scaling strengths and the eigenvalues of the involved Laplacian matrix, which guarantees consensus of third-order multiagent systems. Finally, some simulation examples are given to illustrate the theoretical results.http://dx.doi.org/10.1155/2015/940823
collection DOAJ
language English
format Article
sources DOAJ
author Yanfen Cao
Yuangong Sun
spellingShingle Yanfen Cao
Yuangong Sun
Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
Mathematical Problems in Engineering
author_facet Yanfen Cao
Yuangong Sun
author_sort Yanfen Cao
title Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
title_short Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
title_full Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
title_fullStr Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
title_full_unstemmed Consensus Analysis for Third-Order Multiagent Systems in Directed Networks
title_sort consensus analysis for third-order multiagent systems in directed networks
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description We investigate consensus problem for third-order multiagent dynamical systems in directed graph. Necessary and sufficient conditions to consensus of third-order multiagent systems have been established under three different protocols. Compared with existing results, we focus on the relationship between the scaling strengths and the eigenvalues of the involved Laplacian matrix, which guarantees consensus of third-order multiagent systems. Finally, some simulation examples are given to illustrate the theoretical results.
url http://dx.doi.org/10.1155/2015/940823
work_keys_str_mv AT yanfencao consensusanalysisforthirdordermultiagentsystemsindirectednetworks
AT yuangongsun consensusanalysisforthirdordermultiagentsystemsindirectednetworks
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