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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/940823 |
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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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