Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology
This paper studies the consensus of multi-agent systems with piecewise continuous time-varying topology. The agents are assumed to have identical first-order linear dynamics, which their underlying communication topology is piecewise continuous time-varying. In the case of undirected time-varying co...
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Format: | Article |
Language: | English |
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IEEE
2019-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/8759866/ |
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author | Wangui Yuan Guangjie Han |
author_facet | Wangui Yuan Guangjie Han |
author_sort | Wangui Yuan |
collection | DOAJ |
description | This paper studies the consensus of multi-agent systems with piecewise continuous time-varying topology. The agents are assumed to have identical first-order linear dynamics, which their underlying communication topology is piecewise continuous time-varying. In the case of undirected time-varying communication topology, the consensus of the multi-agent system depends on the connectivity of its limit topology, and the states of all agents converge to the mean of their initial states. However, the consensus depends on the absolute integrability of the elements in the difference matrix between the Laplacian matrix and the limit matrix when the communication topology is directed and connected. Several simulation examples are presented to validate the proposed theories. |
first_indexed | 2024-12-22T20:42:42Z |
format | Article |
id | doaj.art-00547bca11bc45ff8d80db633ae5206b |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-22T20:42:42Z |
publishDate | 2019-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-00547bca11bc45ff8d80db633ae5206b2022-12-21T18:13:18ZengIEEEIEEE Access2169-35362019-01-017920489205810.1109/ACCESS.2019.29279928759866Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying TopologyWangui Yuan0Guangjie Han1https://orcid.org/0000-0002-6921-7369School of Science, Jiangnan University, Wuxi, ChinaSchool of Information Science and Technology, Qingdao University of Science and Technology, Qingdao, ChinaThis paper studies the consensus of multi-agent systems with piecewise continuous time-varying topology. The agents are assumed to have identical first-order linear dynamics, which their underlying communication topology is piecewise continuous time-varying. In the case of undirected time-varying communication topology, the consensus of the multi-agent system depends on the connectivity of its limit topology, and the states of all agents converge to the mean of their initial states. However, the consensus depends on the absolute integrability of the elements in the difference matrix between the Laplacian matrix and the limit matrix when the communication topology is directed and connected. Several simulation examples are presented to validate the proposed theories.https://ieeexplore.ieee.org/document/8759866/Consensustime-varying topologylimit topologymulti-agent systems |
spellingShingle | Wangui Yuan Guangjie Han Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology IEEE Access Consensus time-varying topology limit topology multi-agent systems |
title | Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology |
title_full | Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology |
title_fullStr | Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology |
title_full_unstemmed | Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology |
title_short | Consensus of Multi-Agent Systems With Piecewise Continuous Time-Varying Topology |
title_sort | consensus of multi agent systems with piecewise continuous time varying topology |
topic | Consensus time-varying topology limit topology multi-agent systems |
url | https://ieeexplore.ieee.org/document/8759866/ |
work_keys_str_mv | AT wanguiyuan consensusofmultiagentsystemswithpiecewisecontinuoustimevaryingtopology AT guangjiehan consensusofmultiagentsystemswithpiecewisecontinuoustimevaryingtopology |