POD-Based Bicriterial Optimal Control by the Reference Point Method

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BANHOLZER, Stefan, Dennis BEERMANN, Stefan VOLKWEIN, 2016. POD-Based Bicriterial Optimal Control by the Reference Point Method. In: IFAC-PapersOnLine. 49(8), pp. 210-215. ISSN 2405-8963

@article{Banholzer2016POD-B-39731, title={POD-Based Bicriterial Optimal Control by the Reference Point Method}, year={2016}, doi={10.1016/j.ifacol.2016.07.443}, number={8}, volume={49}, issn={2405-8963}, journal={IFAC-PapersOnLine}, pages={210--215}, author={Banholzer, Stefan and Beermann, Dennis and Volkwein, Stefan} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/39731"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/39731"/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:creator>Banholzer, Stefan</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <dc:creator>Beermann, Dennis</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-08-02T09:47:50Z</dcterms:available> <dcterms:abstract xml:lang="eng">In the present paper a bicriterial optimal control problem governed by a parabolic partial differential equation (PDE) and bilateral control constraints is considered. For the numerical optimization the reference point method is utilized. The PDE is discretized by a Galerkin approximation utilizing the method of proper orthogonal decomposition (POD). POD is a powerful approach to derive reduced-order approximations for evolution problems. Numerical examples illustrate the efficiency of the proposed strategy.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-08-02T09:47:50Z</dc:date> <dc:language>eng</dc:language> <dcterms:issued>2016</dcterms:issued> <dc:contributor>Banholzer, Stefan</dc:contributor> <dcterms:title>POD-Based Bicriterial Optimal Control by the Reference Point Method</dcterms:title> <dc:contributor>Beermann, Dennis</dc:contributor> </rdf:Description> </rdf:RDF>

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