Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay

Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay

This paper addresses the consensus of second-order multiagent systems with general topology and time delay based on the nearest neighbor rule. By using the Laplace transform technique, it is proved that the second-order multi-agent system in the presence of time-delay can reach consensus if the netw...

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Main Authors: Bo Liu, Guangming Xie, Yanping Gao, Jiaxi Wu, Jianguo Zhang, Wenguang Luo
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/359750
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spelling doaj-7a6211f734924e129617307d5ab8cdd02020-11-24T21:38:00ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/359750359750Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time DelayBo Liu0Guangming Xie1Yanping Gao2Jiaxi Wu3Jianguo Zhang4Wenguang Luo5College of Science, North China University of Technology, Beijing 100144, ChinaCenter for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, ChinaCollege of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaSchool of Electric and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaThis paper addresses the consensus of second-order multiagent systems with general topology and time delay based on the nearest neighbor rule. By using the Laplace transform technique, it is proved that the second-order multi-agent system in the presence of time-delay can reach consensus if the network topology contains a globally reachable node and time delay is bounded. The bound of time-delay only depends on eigenvalues of the Laplacian matrix of the system. The main contribution of this paper is that the accurate state of the consensus center and the upper bound of the communication delay to make the agents reach consensus are given. Some numerical simulations are given to illustrate the theoretical results.http://dx.doi.org/10.1155/2013/359750
collection DOAJ
language English
format Article
sources DOAJ
author Bo Liu
Guangming Xie
Yanping Gao
Jiaxi Wu
Jianguo Zhang
Wenguang Luo
spellingShingle Bo Liu
Guangming Xie
Yanping Gao
Jiaxi Wu
Jianguo Zhang
Wenguang Luo
Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
Journal of Applied Mathematics
author_facet Bo Liu
Guangming Xie
Yanping Gao
Jiaxi Wu
Jianguo Zhang
Wenguang Luo
author_sort Bo Liu
title Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
title_short Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
title_full Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
title_fullStr Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
title_full_unstemmed Consensus Analysis of Second-Order Multiagent Systems with General Topology and Time Delay
title_sort consensus analysis of second-order multiagent systems with general topology and time delay
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description This paper addresses the consensus of second-order multiagent systems with general topology and time delay based on the nearest neighbor rule. By using the Laplace transform technique, it is proved that the second-order multi-agent system in the presence of time-delay can reach consensus if the network topology contains a globally reachable node and time delay is bounded. The bound of time-delay only depends on eigenvalues of the Laplacian matrix of the system. The main contribution of this paper is that the accurate state of the consensus center and the upper bound of the communication delay to make the agents reach consensus are given. Some numerical simulations are given to illustrate the theoretical results.
url http://dx.doi.org/10.1155/2013/359750
work_keys_str_mv AT boliu consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
AT guangmingxie consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
AT yanpinggao consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
AT jiaxiwu consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
AT jianguozhang consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
AT wenguangluo consensusanalysisofsecondordermultiagentsystemswithgeneraltopologyandtimedelay
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