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

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

We are concerned with the consensus problems for networks of second-order agents, where each agent can only access the relative position information from its neighbours. We aim to find the largest tolerable input delay such that the system consensus can be reached. We introduce a protocol with time-...

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Main Authors: Xue Li, Huai Wu, Yikang Yang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/138276
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spelling doaj-234897a39fe34f3b81dae6aeef7e748e2020-11-25T00:25:19ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/138276138276Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-DelayXue Li0Huai Wu1Yikang Yang2School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaWe are concerned with the consensus problems for networks of second-order agents, where each agent can only access the relative position information from its neighbours. We aim to find the largest tolerable input delay such that the system consensus can be reached. We introduce a protocol with time-delay and fixed topology. A sufficient and necessary condition is given to guarantee the consensus. By using eigenvector-eigenvalue method and frequency domain method, it is proved that the largest tolerable time-delay is only related to the eigenvalues of the graph Laplacian. And simulation results are also provided to demonstrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2015/138276
collection DOAJ
language English
format Article
sources DOAJ
author Xue Li
Huai Wu
Yikang Yang
spellingShingle Xue Li
Huai Wu
Yikang Yang
Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
Mathematical Problems in Engineering
author_facet Xue Li
Huai Wu
Yikang Yang
author_sort Xue Li
title Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
title_short Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
title_full Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
title_fullStr Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
title_full_unstemmed Consensus of Second-Order Multiagent Systems with Fixed Topology and Time-Delay
title_sort consensus of second-order multiagent systems with fixed topology and time-delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description We are concerned with the consensus problems for networks of second-order agents, where each agent can only access the relative position information from its neighbours. We aim to find the largest tolerable input delay such that the system consensus can be reached. We introduce a protocol with time-delay and fixed topology. A sufficient and necessary condition is given to guarantee the consensus. By using eigenvector-eigenvalue method and frequency domain method, it is proved that the largest tolerable time-delay is only related to the eigenvalues of the graph Laplacian. And simulation results are also provided to demonstrate the effectiveness of our theoretical results.
url http://dx.doi.org/10.1155/2015/138276
work_keys_str_mv AT xueli consensusofsecondordermultiagentsystemswithfixedtopologyandtimedelay
AT huaiwu consensusofsecondordermultiagentsystemswithfixedtopologyandtimedelay
AT yikangyang consensusofsecondordermultiagentsystemswithfixedtopologyandtimedelay
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