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Article: A fast passivity test for stable descriptor systems via Skew-Hamiltonian/ Hamiltonian matrix pencil transformations

TitleA fast passivity test for stable descriptor systems via Skew-Hamiltonian/ Hamiltonian matrix pencil transformations
Authors
KeywordsDescriptor System
Descriptor System (Ds)
Passivity Test
Positive Real
Issue Date2008
Citation
Ieee Transactions On Circuits And Systems I: Regular Papers, 2008, v. 55 n. 2, p. 635-643 How to Cite?
AbstractPassivity of a linear system is an important property to guarantee stable global simulation. Most circuits and interconnected systems are naturally described as descriptor systems (DSs) or singular state spaces. Passivity tests for DSs, however, are much less developed compared to their regular (nonsingular) state space counterparts. For large-scale DSs, the existing linear-matrix-inequality test is computationally prohibitive. Other system decoupling techniques involve complicated algorithms and sometimes ill-conditioned transformations. This paper proposes a simple DS passivity test based on the insight that the sum of a passive system and its adjoint must render an impulse-free system under minimal realization. The proper part (nonimpulsive part) and the residue matrix at infinity (impulsive part), if any, of a passive DS are conveniently extracted using numerically efficient skew-Hamiltonian/Hamiltonian matrix pencil techniques. Numerical experiments confirm the effectiveness of the proposed test over conventional approaches. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/155459
ISSN
2006 Impact Factor: 1.139
2006 SCImago Journal Rankings: 1.111
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_US
dc.contributor.authorChu, CKen_US
dc.date.accessioned2012-08-08T08:33:36Z-
dc.date.available2012-08-08T08:33:36Z-
dc.date.issued2008en_US
dc.identifier.citationIeee Transactions On Circuits And Systems I: Regular Papers, 2008, v. 55 n. 2, p. 635-643en_US
dc.identifier.issn1057-7122en_US
dc.identifier.urihttp://hdl.handle.net/10722/155459-
dc.description.abstractPassivity of a linear system is an important property to guarantee stable global simulation. Most circuits and interconnected systems are naturally described as descriptor systems (DSs) or singular state spaces. Passivity tests for DSs, however, are much less developed compared to their regular (nonsingular) state space counterparts. For large-scale DSs, the existing linear-matrix-inequality test is computationally prohibitive. Other system decoupling techniques involve complicated algorithms and sometimes ill-conditioned transformations. This paper proposes a simple DS passivity test based on the insight that the sum of a passive system and its adjoint must render an impulse-free system under minimal realization. The proper part (nonimpulsive part) and the residue matrix at infinity (impulsive part), if any, of a passive DS are conveniently extracted using numerically efficient skew-Hamiltonian/Hamiltonian matrix pencil techniques. Numerical experiments confirm the effectiveness of the proposed test over conventional approaches. © 2008 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Regular Papersen_US
dc.subjectDescriptor Systemen_US
dc.subjectDescriptor System (Ds)en_US
dc.subjectPassivity Testen_US
dc.subjectPositive Realen_US
dc.titleA fast passivity test for stable descriptor systems via Skew-Hamiltonian/ Hamiltonian matrix pencil transformationsen_US
dc.typeArticleen_US
dc.identifier.emailWong, N:nwong@eee.hku.hken_US
dc.identifier.authorityWong, N=rp00190en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TCSI.2007.913737en_US
dc.identifier.scopuseid_2-s2.0-42949100780en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-42949100780&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume55en_US
dc.identifier.issue2en_US
dc.identifier.spage635en_US
dc.identifier.epage643en_US
dc.identifier.isiWOS:000254070000013-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWong, N=35235551600en_US
dc.identifier.scopusauthoridChu, CK=24167770900en_US

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