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An assumption-free theorem on discrete-time positive real systems

dc.contributor.authorBranford, E
dc.contributor.authorHughes, TH
dc.date.accessioned2020-07-23T14:56:20Z
dc.date.issued2021-04-14
dc.description.abstractThe discrete-time positive real lemma is examined and the assumptions of controllability and observability are removed. An intermediate theorem is proved that removes only the assumption of controllability. This work is intended to be the counterpart - and is inspired by - recent work on the continuous-time positive real lemma, and does not assume asymptotic stability unlike the recent results of Ferrante and Ntogramatzidis (2017).en_GB
dc.identifier.citationVol. 53 (2), pp. 4474 - 4480en_GB
dc.identifier.doi10.1016/j.ifacol.2020.12.450
dc.identifier.urihttp://hdl.handle.net/10871/122112
dc.language.isoenen_GB
dc.publisherElsevier / International Federation of Automatic Control (IFAC)en_GB
dc.rights© 2020 The Authors. This is an open access article under the CC BY-NC-ND license: https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectLinear systemsen_GB
dc.subjecttime invariant systemsen_GB
dc.subjectlinear multivariable systemsen_GB
dc.subjectdiscrete-time positive real lemmaen_GB
dc.subjectpositive real systemsen_GB
dc.subjectpassive systemsen_GB
dc.titleAn assumption-free theorem on discrete-time positive real systemsen_GB
dc.typeArticleen_GB
dc.date.available2020-07-23T14:56:20Z
dc.identifier.issn1474-6670
exeter.place-of-publicationIFAC Papers Onlineen_GB
dc.descriptionThis is the final version. Available on open access from Elsevier via the DOI in this recorden_GB
dc.descriptionIFAC‑V 2020: 1st Virtual IFAC World Congress, 11 - 17 July 2020, Berlin, Germany
dc.identifier.journalIFAC-PapersOnLineen_GB
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dcterms.dateAccepted2020-05-09
rioxxterms.versionVoRen_GB
rioxxterms.licenseref.startdate2020-05-09
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2020-07-23T13:16:36Z
refterms.versionFCDAM
refterms.dateFOA2021-06-18T10:22:05Z
refterms.panelBen_GB


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© 2020 The Authors. This is an open access article under the CC BY-NC-ND license: https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's licence is described as © 2020 The Authors. This is an open access article under the CC BY-NC-ND license: https://creativecommons.org/licenses/by-nc-nd/4.0/