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Article: Mixed optimization approach to model approximation of descriptor systems

TitleMixed optimization approach to model approximation of descriptor systems
Authors
KeywordsDescriptor Systems
H2 Norm
Hilbert-Schmidt Norm
Model Approximation
Issue Date2006
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239
Citation
Journal Of Optimization Theory And Applications, 2006, v. 131 n. 2, p. 265-280 How to Cite?
AbstractA mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method. © 2006 Springer Science + Business Media, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/156868
ISSN
2023 Impact Factor: 1.6
2023 SCImago Journal Rankings: 0.864
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Qen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorZhang, QLen_US
dc.contributor.authorWang, QYen_US
dc.date.accessioned2012-08-08T08:44:21Z-
dc.date.available2012-08-08T08:44:21Z-
dc.date.issued2006en_US
dc.identifier.citationJournal Of Optimization Theory And Applications, 2006, v. 131 n. 2, p. 265-280en_US
dc.identifier.issn0022-3239en_US
dc.identifier.urihttp://hdl.handle.net/10722/156868-
dc.description.abstractA mixed optimal model approximation is presented to obtain reduced-order models for truly fast descriptor systems. By a projection from truly fast descriptor systems to discrete-time systems, a mixed optimal model approximation for truly fast descriptor systems is transformed to a mixed optimal model approximation of the corresponding discrete-time systems. The structure of the fast descriptor systems is preserved in the model approximation procedure. The expression of the error and its gradient are given explicitly in terms of the solutions of certain Lyapunov equations. A numerical example is provided to illustrate the effectiveness of the proposed method. © 2006 Springer Science + Business Media, Inc.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-3239en_US
dc.relation.ispartofJournal of Optimization Theory and Applicationsen_US
dc.subjectDescriptor Systemsen_US
dc.subjectH2 Normen_US
dc.subjectHilbert-Schmidt Normen_US
dc.subjectModel Approximationen_US
dc.titleMixed optimization approach to model approximation of descriptor systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s10957-006-9137-1en_US
dc.identifier.scopuseid_2-s2.0-33845669930en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33845669930&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume131en_US
dc.identifier.issue2en_US
dc.identifier.spage265en_US
dc.identifier.epage280en_US
dc.identifier.isiWOS:000242829500007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWang, Q=23471051300en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridZhang, QL=7406719568en_US
dc.identifier.scopusauthoridWang, QY=15726932200en_US
dc.identifier.issnl0022-3239-

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