A new discretization framework for input/output maps and its application to flow control

dc.contributor.authorHeiland, Jan
dc.contributor.authorMehrmann, Volker
dc.contributor.authorSchmidt, Michael
dc.date.accessioned2021-12-17T10:08:12Z
dc.date.available2021-12-17T10:08:12Z
dc.date.issued2009-12-22
dc.description.abstractWe discuss the direct discretization of the input/output map of linear time-invariant systems with distributed inputs and outputs. At first, the input and output signals are discretized in space and time, resulting in a matrix representation of an approximated input/output map. Then the system dynamics is approximated, in order to calculate the matrix representation numerically. The discretization framework, corresponding error estimates, a SVD-based system reduction method and a numerical application in optimization problems are presented, and illustrated for a heat control and a flow control system.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15654
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14427
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherflow-controlen
dc.subject.otherOseen equationen
dc.subject.othertokes equationen
dc.subject.otherinput/output mapen
dc.subject.otherdiscretizationen
dc.subject.otherdifferential-algebraic equationen
dc.titleA new discretization framework for input/output maps and its application to flow controlen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2009, 29en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methodsen
tub.subject.msc200093C95 Applicationsen
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