Data-driven interpolation of dynamical systems with delay

Simple item page
dc.contributor.authorSchulze, Philipp
dc.contributor.authorUnger, Benjamin
dc.date.accessioned2016-01-12T15:35:55Z
dc.date.available2016-01-12T15:35:55Z
dc.date.issued2015
dc.description.abstractWe present a data-driven realization for systems with delay, which generalizes the Loewner framework. The realization is obtained with low computational cost directly from measured data of the transfer function. The internal delay is estimated by solving a least-square optimization over some sample data. Our approach is validated by several examples, which indicate the need for preserving the delay structure in the reduced model.en
dc.description.sponsorshipDFG, SFB 1029, Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamicsen
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/5243
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-4937
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc518 Numerische Analysisde
dc.subject.otherdata-driven model reductionen
dc.subject.otherdelay systemsen
dc.subject.otherLoewner frameworken
dc.subject.othermoment matchingen
dc.subject.othertangential interpolationen
dc.subject.otherdelay recoveryen
dc.subject.otherstructure-preserving model reductionen
dc.titleData-driven interpolation of dynamical systems with delayen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationVerbundforschung::Sonderforschungsbereiche (SFB)::SFB 1029 - TurbInde
tub.affiliation.facultyVerbundforschungde
tub.affiliation.groupSFB 1029 - TurbInde
tub.affiliation.instituteSonderforschungsbereiche (SFB)de
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2015, 17en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200093A30 Mathematical modelingen
tub.subject.msc200037M99 None of the above, but in this sectionen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
SchU15_2015.pdf
Size:
1.19 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.62 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Publications