Robust leaderless consensus of uncertain multiagent systems with fast switching topologies
type: Item
instance of: scholarly article
title: Robust leaderless consensus of uncertain multiagent systems with fast switching topologies
zbMATH Open document ID: 1394.93088
DOI: 10.1155/2015/810950
author: Shi Yan
author: Wei Liu
author: Shaolei Zhou
author: Gao-Yang Yin
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper investigates the robust leaderless consensus problem of uncertain multiagent systems with directed fast switching topologies. The topologies are assumed to jointly contain a directed spanning tree. Based on a special property of the graph Laplacian matrix, the consensus problem is converted into a stabilization problem by performing a proper variable transformation. Averaging method is employed for analysis. It is proved that if the topologies switch sufficiently fast and the controllers are properly designed, the robust leaderless consensus can still be achieved even when all the possible topologies are unconnected in the switching time intervals. Finally, a numerical simulation is provided to illustrate the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6927281
Wikidata QID: Q59119969
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/810950
OpenAlex ID: W2122332063
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description: scientific article; zbMATH DE number 6927281