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Article: On computation of the stability radius for nonlinearly structured perturbations

TitleOn computation of the stability radius for nonlinearly structured perturbations
Authors
Yan, WYLam, J
KeywordsGradient Flow
Linear Systems
Matrix Analysis
Robustness
Stability Radius
Issue Date1998
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 1998, v. 34 n. 5, p. 273-280 How to Cite?
AbstractThis paper considers the problem of finding a perturbation matrix with the least spectral norm such that a matrix-valued function becomes singular, where the dependence of the function on the perturbation is allowed to be nonlinear. It is proved that such a problem can be approximated by a smooth unconstrained minimization problem with compact sublevel sets. A computational procedure proposed based on this result is demonstrated to be effective in both linear and nonlinear cases. © 1998 Published by Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156715
ISSN
0167-6911
2021 Impact Factor: 2.742
2020 SCImago Journal Rankings: 1.289
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorYan, WYen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:43:39Z-
dc.date.available2012-08-08T08:43:39Z-
dc.date.issued1998en_US
dc.identifier.citationSystems And Control Letters, 1998, v. 34 n. 5, p. 273-280en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/156715-
dc.description.abstractThis paper considers the problem of finding a perturbation matrix with the least spectral norm such that a matrix-valued function becomes singular, where the dependence of the function on the perturbation is allowed to be nonlinear. It is proved that such a problem can be approximated by a smooth unconstrained minimization problem with compact sublevel sets. A computational procedure proposed based on this result is demonstrated to be effective in both linear and nonlinear cases. © 1998 Published by Elsevier Science 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.subjectGradient Flowen_US
dc.subjectLinear Systemsen_US
dc.subjectMatrix Analysisen_US
dc.subjectRobustnessen_US
dc.subjectStability Radiusen_US
dc.titleOn computation of the stability radius for nonlinearly structured perturbationsen_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-s2.0-0348228242en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0348228242&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume34en_US
dc.identifier.issue5en_US
dc.identifier.spage273en_US
dc.identifier.epage280en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridYan, WY=7402221751en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.issnl0167-6911-

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