Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems


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FABRINI, Giulia, Laura IAPICHINO, Stefan VOLKWEIN, 2017. Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems

@techreport{Fabrini2017Reduc-40328, series={Konstanzer Schriften in Mathematik}, title={Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems}, year={2017}, number={364}, author={Fabrini, Giulia and Iapichino, Laura and Volkwein, Stefan} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:available rdf:datatype="">2017-10-13T07:57:29Z</dcterms:available> <dc:rights>terms-of-use</dc:rights> <dc:creator>Fabrini, Giulia</dc:creator> <bibo:uri rdf:resource=""/> <dc:date rdf:datatype="">2017-10-13T07:57:29Z</dc:date> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dspace:isPartOfCollection rdf:resource=""/> <dspace:hasBitstream rdf:resource=""/> <dc:contributor>Fabrini, Giulia</dc:contributor> <dcterms:rights rdf:resource=""/> <dcterms:title>Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems</dcterms:title> <dc:contributor>Iapichino, Laura</dc:contributor> <dc:language>eng</dc:language> <dc:creator>Iapichino, Laura</dc:creator> <dcterms:hasPart rdf:resource=""/> <dcterms:issued>2017</dcterms:issued> <dcterms:isPartOf rdf:resource=""/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Volkwein, Stefan</dc:creator> <dcterms:abstract xml:lang="eng">Often a dynamical system is characterized by one or more parameters describing physical features of the problem or geometrical configurations of the computational domain. As a consequence, by assuming that the system is controllable, a range of optimal controls exists corresponding to different parameter values. The goal of the proposed approach is to avoid the computation of a control function for any instance of the parameters. The greedy controllability consists in the selection of the most representative values of the parameter set that allows a rapid approximation of the control function for any desired new parameter value, ensuring that the system is steered to the target within a certain accuracy. By proposing the reduced basis (RB) method in this framework, we are able to consider linear parametrized partial differential equations (PDEs) in our setting. The computational costs are drastically reduced and the efficiency of the greedy controllability approach is significantly improved. As a numerical example a heat equation with convection is studied to illustrate our proposed RB greedy controllability strategy.</dcterms:abstract> <dc:contributor>Volkwein, Stefan</dc:contributor> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 13.10.2017 (Informationen über die Zugriffsstatistik)

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