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An ultimate state bound for a class of linear systems with delay

Shen, Tao; Petersen, Ian

Description

A new method is given to estimate an ultimate state bound on a time-varying linear system with delay and bounded disturbances by using some results on Metzler matrices. The effectiveness of the obtained results is illustrated by a numerical example.

dc.contributor.authorShen, Tao
dc.contributor.authorPetersen, Ian
dc.date.accessioned2020-12-20T20:58:32Z
dc.date.available2020-12-20T20:58:32Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/218625
dc.description.abstractA new method is given to estimate an ultimate state bound on a time-varying linear system with delay and bounded disturbances by using some results on Metzler matrices. The effectiveness of the obtained results is illustrated by a numerical example.
dc.description.sponsorshipThe work of Tao Shen was supported by the National Natural Science Foundation of China under Grant Numbers 61102113, 61473135 and Natural Science Foundation of Shandong province under Grant Number ZR2015JL020. The work of Ian R. Petersen was supported by the Australian Research Council (ARC) under Grant Number DP160101121.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherPergamon-Elsevier Ltd
dc.rights© 2017 Elsevier Ltd.
dc.sourceAutomatica
dc.subjectState bounding
dc.subjectTime-varying linear systems
dc.subjectBounded disturbances
dc.subjectMetzler matrix
dc.titleAn ultimate state bound for a class of linear systems with delay
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume87
dcterms.dateAccepted2017-08-24
dc.date.issued2018
local.identifier.absfor080299 - Computation Theory and Mathematics not elsewhere classified
local.identifier.ariespublicationu4351680xPUB366
local.type.statusAccepted Version
local.contributor.affiliationShen, Tao, University of Jinan
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANU
dc.relationhttp://purl.org/au-research/grants/arc/DP160101121
local.bibliographicCitation.startpage447
local.bibliographicCitation.lastpage449
local.identifier.doi10.1016/j.automatica.2017.09.026
dc.date.updated2020-11-23T11:32:49Z
local.identifier.scopusID2-s2.0-85031701402
dcterms.accessRightsOpen Access
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/4278..."Author accepted manuscript can be made open access on institutional repository after 24 month embargo" from SHERPA/RoMEO site (as at 16.4.2021).
CollectionsANU Research Publications

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