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Article: A structured approximation problem with applications to frequency weighted model reduction
Title | A structured approximation problem with applications to frequency weighted model reduction |
---|---|
Authors | |
Issue Date | 1992 |
Citation | Ieee Transactions On Automatic Control, 1992, v. 37 n. 4, p. 447-465 How to Cite? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/154962 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Glover, Keith | en_US |
dc.contributor.author | Limebeer, David JN | en_US |
dc.contributor.author | Hung, YS | en_US |
dc.date.accessioned | 2012-08-08T08:31:18Z | - |
dc.date.available | 2012-08-08T08:31:18Z | - |
dc.date.issued | 1992 | en_US |
dc.identifier.citation | Ieee Transactions On Automatic Control, 1992, v. 37 n. 4, p. 447-465 | en_US |
dc.identifier.issn | 0018-9286 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/154962 | - |
dc.description.abstract | The 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.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Automatic Control | en_US |
dc.title | A structured approximation problem with applications to frequency weighted model reduction | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hung, YS:yshung@eee.hku.hk | en_US |
dc.identifier.authority | Hung, YS=rp00220 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/9.126578 | en_US |
dc.identifier.scopus | eid_2-s2.0-0026850973 | en_US |
dc.identifier.volume | 37 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 447 | en_US |
dc.identifier.epage | 465 | en_US |
dc.identifier.isi | WOS:A1992HK15600003 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Glover, Keith=7102212001 | en_US |
dc.identifier.scopusauthorid | Limebeer, David JN=7006316087 | en_US |
dc.identifier.scopusauthorid | Hung, YS=8091656200 | en_US |
dc.identifier.issnl | 0018-9286 | - |