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Exponential consensus of general linear multi-agent systems under directed dynamic topology

Qin, Jiahu; Yu, Changbin (Brad)

Description

This paper aims to investigate the consensus control of generic linear multi-agent systems (MASs) under directed dynamic topology. Nonnegative matrix theory, in particular the product properties of infinite row-stochastic matrices, which are widely used for multiple integrator agents, is explored to deal with the convergence analysis of generic linear MASs. It is finally shown that the exponential consensus can be reached under very relaxed conditions, i.e., the directed interaction topology is...[Show more]

dc.contributor.authorQin, Jiahu
dc.contributor.authorYu, Changbin (Brad)
dc.date.accessioned2015-12-13T22:33:18Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/75963
dc.description.abstractThis paper aims to investigate the consensus control of generic linear multi-agent systems (MASs) under directed dynamic topology. Nonnegative matrix theory, in particular the product properties of infinite row-stochastic matrices, which are widely used for multiple integrator agents, is explored to deal with the convergence analysis of generic linear MASs. It is finally shown that the exponential consensus can be reached under very relaxed conditions, i.e., the directed interaction topology is only required to be repeatedly jointly rooted and the exponentially unstable mode of each individual system is weak enough. Moreover, a least convergence rate and a bound for the unstable mode of the individual agent system, both of which are independent of the switching mode, can be explicitly specified.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.titleExponential consensus of general linear multi-agent systems under directed dynamic topology
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume50
dc.date.issued2014
local.identifier.absfor010000 - MATHEMATICAL SCIENCES
local.identifier.ariespublicationU3488905xPUB4893
local.type.statusPublished Version
local.contributor.affiliationQin, Jiahu, College of Engineering and Computer Science, ANU
local.contributor.affiliationYu, Changbin (Brad), College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue9
local.bibliographicCitation.startpage2327
local.bibliographicCitation.lastpage2333
local.identifier.doi10.1016/j.automatica.2014.07.009
dc.date.updated2015-12-11T09:15:38Z
local.identifier.scopusID2-s2.0-84908482150
local.identifier.thomsonID000342479400012
CollectionsANU Research Publications

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