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Article: Computation of balanced realisation approximations of delay systems

TitleComputation of balanced realisation approximations of delay systems
Authors
KeywordsBalanced Realisation
Delay System
Model Reduction
Issue Date1999
Citation
European Journal Of Control, 1999, v. 5 n. 2-4, p. 342-352 How to Cite?
AbstractThis paper presents numerical algorithms for the construction affinite dimensional balanced approximations of delay systems of the form e-sTg(s) where g(s) is scalar, rational and strictly proper. The Hankel singular values are obtained as the zero crossings of a determinant function in which matrix transformations and scaling are introduced for reducing the propagation of numerical errors. The mesh for searching Hankel singular values is made efficient through the use of an asymptotic formula. Numerical examples are used to illustrate the approximation method. © 1999 EUCA.
Persistent Identifierhttp://hdl.handle.net/10722/156525
ISSN
2015 Impact Factor: 1.342
2015 SCImago Journal Rankings: 1.003
References

 

DC FieldValueLanguage
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:42:48Z-
dc.date.available2012-08-08T08:42:48Z-
dc.date.issued1999en_US
dc.identifier.citationEuropean Journal Of Control, 1999, v. 5 n. 2-4, p. 342-352en_US
dc.identifier.issn0947-3580en_US
dc.identifier.urihttp://hdl.handle.net/10722/156525-
dc.description.abstractThis paper presents numerical algorithms for the construction affinite dimensional balanced approximations of delay systems of the form e-sTg(s) where g(s) is scalar, rational and strictly proper. The Hankel singular values are obtained as the zero crossings of a determinant function in which matrix transformations and scaling are introduced for reducing the propagation of numerical errors. The mesh for searching Hankel singular values is made efficient through the use of an asymptotic formula. Numerical examples are used to illustrate the approximation method. © 1999 EUCA.en_US
dc.languageengen_US
dc.relation.ispartofEuropean Journal of Controlen_US
dc.subjectBalanced Realisationen_US
dc.subjectDelay Systemen_US
dc.subjectModel Reductionen_US
dc.titleComputation of balanced realisation approximations of delay 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.scopuseid_2-s2.0-0033334537en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033334537&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume5en_US
dc.identifier.issue2-4en_US
dc.identifier.spage342en_US
dc.identifier.epage352en_US
dc.publisher.placeFranceen_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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