Data-driven structured realization

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dc.contributor.authorSchulze, P.en
dc.contributor.authorUnger, Benjaminen
dc.contributor.authorBeattie, Christopher A.en
dc.contributor.authorGugercin, Serkanen
dc.contributor.departmentMathematicsen
dc.date.accessioned2018-01-25T17:22:02Zen
dc.date.available2018-01-25T17:22:02Zen
dc.date.issued2018-01-15en
dc.description.abstractWe present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form C&#771;(&#8721;<sub>k=1</sub><sup>K</sup> h<sub>k</sub>(s)A&#771;<sub>k</sub>)<sup>-1</sup>B&#771; where <i>h<sub>1</sub>, h<sub>2</sub>, ..., h<sub>k</sub></i> are prescribed functions that specify the surmised structure of the model. Our construction is data-driven in the sense that an interpolant is derived entirely from measurements of a transfer function. Our approach extends the Loewner realization framework to more general system structure that includes second-order (and higher) systems as well as systems with internal delays. Numerical examples demonstrate the advantages of this approach.en
dc.description.versionPublished versionen
dc.format.extent250 - 286 (37) page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/j.laa.2017.09.030en
dc.identifier.eissn1873-1856en
dc.identifier.issn0024-3795en
dc.identifier.urihttp://hdl.handle.net/10919/81925en
dc.identifier.volume537en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000415770200013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectMathematicsen
dc.subjectStructured realizationen
dc.subjectData-driven model reductionen
dc.subjectInterpolationen
dc.subjectDelay systemen
dc.subjectSecond-order systemen
dc.subjectMoment matchingen
dc.subjectMODEL ORDER REDUCTIONen
dc.subjectTIME-DELAY SYSTEMSen
dc.subjectNONLINEAR-SYSTEMSen
dc.subjectDYNAMICAL-SYSTEMSen
dc.subjectLINEAR-SYSTEMSen
dc.subjectAPPROXIMATIONen
dc.subjectINTERPOLATIONen
dc.subjectFRAMEWORKen
dc.titleData-driven structured realizationen
dc.title.serialLinear Algebra And Its Applicationsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Mathematicsen

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