Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems

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dc.citation.firstpage2127en_US
dc.citation.issueNumber6en_US
dc.citation.journalTitleESAIM: M2ANen_US
dc.citation.lastpage2158en_US
dc.citation.volumeNumber51en_US
dc.contributor.authorFeng, Lihongen_US
dc.contributor.authorAntoulas, Athanasios C.en_US
dc.contributor.authorBenner, Peteren_US
dc.date.accessioned2017-12-19T15:24:09Zen_US
dc.date.available2017-12-19T15:24:09Zen_US
dc.date.issued2017en_US
dc.description.abstractWe propose a posteriori error bounds for reduced-order models of non-parametrized linear time invariant (LTI) systems and parametrized LTI systems. The error bounds estimate the errors of the transfer functions of the reduced-order models, and are independent of the model reduction methods used. It is shown that for some special non-parametrized LTI systems, particularly efficiently computable error bounds can be derived. According to the error bounds, reduced-order models of both non-parametrized and parametrized systems, computed by Krylov subspace based model reduction methods, can be obtained automatically and reliably. Simulations for several examples from engineering applications have demonstrated the robustness of the error bounds.en_US
dc.identifier.citationFeng, Lihong, Antoulas, Athanasios C. and Benner, Peter. "Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems." <i>ESAIM: M2AN,</i> 51, no. 6 (2017) EDP Sciences: 2127-2158. https://doi.org/10.1051/m2an/2017014.en_US
dc.identifier.digitalm2an160008en_US
dc.identifier.doihttps://doi.org/10.1051/m2an/2017014en_US
dc.identifier.urihttps://hdl.handle.net/1911/98896en_US
dc.language.isoengen_US
dc.publisherEDP Sciencesen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.subject.keywordmodel order reductionen_US
dc.subject.keyworderror estimationen_US
dc.titleSome a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systemsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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