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Proper orthogonal decomposition for optimality systems

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KUNISCH, Karl, Stefan VOLKWEIN, 2008. Proper orthogonal decomposition for optimality systems. In: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN). 42(1), pp. 1-23. ISSN 0764-583X. eISSN 1290-3841. Available under: doi: 10.1051/m2an:2007054

@article{Kunisch2008-01-12Prope-41196, title={Proper orthogonal decomposition for optimality systems}, year={2008}, doi={10.1051/m2an:2007054}, number={1}, volume={42}, issn={0764-583X}, journal={Mathematical Modelling and Numerical Analysis (ESAIM-M2AN)}, pages={1--23}, author={Kunisch, Karl 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=""> <dc:creator>Kunisch, Karl</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <dc:contributor>Volkwein, Stefan</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:language>eng</dc:language> <dc:date rdf:datatype="">2018-02-01T15:38:57Z</dc:date> <dcterms:title>Proper orthogonal decomposition for optimality systems</dcterms:title> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Kunisch, Karl</dc:contributor> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:abstract xml:lang="eng">Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non-linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different from those of the optimally controlled trajectory. A method is proposed which avoids this problem of unmodelled dynamics in the proper orthogonal decomposition approach to optimal control. It is referred to as optimality system proper orthogonal decomposition (OS-POD).</dcterms:abstract> <dcterms:issued>2008-01-12</dcterms:issued> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="">2018-02-01T15:38:57Z</dcterms:available> <bibo:uri rdf:resource=""/> </rdf:Description> </rdf:RDF>

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