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Article: A structured approximation problem with applications to frequency weighted model reduction

TitleA structured approximation problem with applications to frequency weighted model reduction
Authors
Issue Date1992
Citation
Ieee Transactions On Automatic Control, 1992, v. 37 n. 4, p. 447-465 How to Cite?
AbstractThe authors consider the problem of finding necessary and sufficient conditions for the existence of a Q with no more than k poles in the closed left-half plane such that the norm of a certain matrix ≤ 1. If solutions exist, a formula for all solutions is given. Special attention is given to the characterization of all optimal solutions. As an application, the frequency weighted optimal Hankel norm model reduction problem is recast as a problem of characterizing every Q which satisfies a certain condition. After reformulation, the model reduction problem is easily solved using the techniques presented in this work.
Persistent Identifierhttp://hdl.handle.net/10722/154962
ISSN
2023 Impact Factor: 6.2
2023 SCImago Journal Rankings: 4.501
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorGlover, Keithen_US
dc.contributor.authorLimebeer, David JNen_US
dc.contributor.authorHung, YSen_US
dc.date.accessioned2012-08-08T08:31:18Z-
dc.date.available2012-08-08T08:31:18Z-
dc.date.issued1992en_US
dc.identifier.citationIeee Transactions On Automatic Control, 1992, v. 37 n. 4, p. 447-465en_US
dc.identifier.issn0018-9286en_US
dc.identifier.urihttp://hdl.handle.net/10722/154962-
dc.description.abstractThe authors consider the problem of finding necessary and sufficient conditions for the existence of a Q with no more than k poles in the closed left-half plane such that the norm of a certain matrix ≤ 1. If solutions exist, a formula for all solutions is given. Special attention is given to the characterization of all optimal solutions. As an application, the frequency weighted optimal Hankel norm model reduction problem is recast as a problem of characterizing every Q which satisfies a certain condition. After reformulation, the model reduction problem is easily solved using the techniques presented in this work.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Automatic Controlen_US
dc.titleA structured approximation problem with applications to frequency weighted model reductionen_US
dc.typeArticleen_US
dc.identifier.emailHung, YS:yshung@eee.hku.hken_US
dc.identifier.authorityHung, YS=rp00220en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/9.126578en_US
dc.identifier.scopuseid_2-s2.0-0026850973en_US
dc.identifier.volume37en_US
dc.identifier.issue4en_US
dc.identifier.spage447en_US
dc.identifier.epage465en_US
dc.identifier.isiWOS:A1992HK15600003-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridGlover, Keith=7102212001en_US
dc.identifier.scopusauthoridLimebeer, David JN=7006316087en_US
dc.identifier.scopusauthoridHung, YS=8091656200en_US
dc.identifier.issnl0018-9286-

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