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Article: Establishing stability and instability of matrix hypercubes

TitleEstablishing stability and instability of matrix hypercubes
Authors
KeywordsHypercubic Uncertainty
Linear Systems
Lmi
Stability/Instability
Issue Date2005
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2005, v. 54 n. 4, p. 381-388 How to Cite?
AbstractThe problem of establishing stability and instability of a matrix hypercube is considered and some conditions are proposed based on the stability boundary crossing principle and sum of squares relaxations. Specifically, a sufficient and asymptotically necessary condition for the stability is derived which can be checked through convex LMI optimizations. With respect to existing approaches that provide nonconservative conditions, the contribution consists of a significantly smaller computational burden in some cases. Indeed, even among small systems there are cases in which such approaches cannot be used due to the huge computational burden while the proposed technique can be easily applied. Moreover, a sufficient and asymptotically necessary condition for the instability is proposed which amounts to solving a linear algebra problem once that the condition for the stability has been investigated. Such a condition has never been proposed in the literature. © 2005 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/155256
ISSN
2015 Impact Factor: 1.908
2015 SCImago Journal Rankings: 2.323
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:32:34Z-
dc.date.available2012-08-08T08:32:34Z-
dc.date.issued2005en_US
dc.identifier.citationSystems And Control Letters, 2005, v. 54 n. 4, p. 381-388en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/155256-
dc.description.abstractThe problem of establishing stability and instability of a matrix hypercube is considered and some conditions are proposed based on the stability boundary crossing principle and sum of squares relaxations. Specifically, a sufficient and asymptotically necessary condition for the stability is derived which can be checked through convex LMI optimizations. With respect to existing approaches that provide nonconservative conditions, the contribution consists of a significantly smaller computational burden in some cases. Indeed, even among small systems there are cases in which such approaches cannot be used due to the huge computational burden while the proposed technique can be easily applied. Moreover, a sufficient and asymptotically necessary condition for the instability is proposed which amounts to solving a linear algebra problem once that the condition for the stability has been investigated. Such a condition has never been proposed in the literature. © 2005 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_US
dc.relation.ispartofSystems and Control Lettersen_US
dc.subjectHypercubic Uncertaintyen_US
dc.subjectLinear Systemsen_US
dc.subjectLmien_US
dc.subjectStability/Instabilityen_US
dc.titleEstablishing stability and instability of matrix hypercubesen_US
dc.typeArticleen_US
dc.identifier.emailChesi, G:chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.sysconle.2004.08.016en_US
dc.identifier.scopuseid_2-s2.0-14544280967en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-14544280967&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume54en_US
dc.identifier.issue4en_US
dc.identifier.spage381en_US
dc.identifier.epage388en_US
dc.identifier.isiWOS:000227810900009-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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