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Conference Paper: Fast positive-real balanced truncation of symmetric systems using cross riccati equations

TitleFast positive-real balanced truncation of symmetric systems using cross riccati equations
Authors
Issue Date2007
Citation
Proceedings -Design, Automation And Test In Europe, Date, 2007, p. 1496-1501 How to Cite?
AbstractWe present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a pair of algebraic Riccati equations (AREs) in conventional PRBT, whose complexity limits practical large-scale realization, is replaced with the solution of one cross Riccati equation (XRE). The cross-Riccatian solution then permits simple construction of projection matrices without actually balancing the system. The method encompasses passive linear networks, as commonly used in interconnect and package modelings, due to their inherent reciprocity and therefore symmetric transfer functions. Effectiveness of the proposed approach is verified by numerical examples. © 2007 EDAA.
Persistent Identifierhttp://hdl.handle.net/10722/99258
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.date.accessioned2010-09-25T18:22:17Z-
dc.date.available2010-09-25T18:22:17Z-
dc.date.issued2007en_HK
dc.identifier.citationProceedings -Design, Automation And Test In Europe, Date, 2007, p. 1496-1501en_HK
dc.identifier.issn1530-1591en_HK
dc.identifier.urihttp://hdl.handle.net/10722/99258-
dc.description.abstractWe present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a pair of algebraic Riccati equations (AREs) in conventional PRBT, whose complexity limits practical large-scale realization, is replaced with the solution of one cross Riccati equation (XRE). The cross-Riccatian solution then permits simple construction of projection matrices without actually balancing the system. The method encompasses passive linear networks, as commonly used in interconnect and package modelings, due to their inherent reciprocity and therefore symmetric transfer functions. Effectiveness of the proposed approach is verified by numerical examples. © 2007 EDAA.en_HK
dc.languageengen_HK
dc.relation.ispartofProceedings -Design, Automation and Test in Europe, DATEen_HK
dc.titleFast positive-real balanced truncation of symmetric systems using cross riccati equationsen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/DATE.2007.364512en_HK
dc.identifier.scopuseid_2-s2.0-34548311844en_HK
dc.identifier.hkuros133562en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34548311844&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage1496en_HK
dc.identifier.epage1501en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK

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