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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Main Authors: Wangui Yuan, Guangjie Han
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
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.
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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