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Article: Time-invariant uncertain systems: A necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functions

TitleTime-invariant uncertain systems: A necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functions
Authors
Chesi, G
KeywordsInstability
Lyapunov function
SMR
Stability
Uncertain system
Issue Date2010
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica
Citation
Automatica, 2010, v. 46 n. 2, p. 471-474 How to Cite?
DOI: http://dx.doi.org/10.1016/j.automatica.2009.11.007
AbstractThis paper investigates linear systems with polynomial dependence on time-invariant uncertainties constrained in the simplex via homogeneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem. Moreover, this condition is also necessary by using a sufficiently large degree of the HPD-QLF. © 2009 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/129189
ISSN
0005-1098
2023 Impact Factor: 4.8
2023 SCImago Journal Rankings: 3.502
ISI Accession Number ID
WOS:000274758400029
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.date.accessioned2010-12-23T08:33:27Z-
dc.date.available2010-12-23T08:33:27Z-
dc.date.issued2010en_HK
dc.identifier.citationAutomatica, 2010, v. 46 n. 2, p. 471-474en_HK
dc.identifier.issn0005-1098en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129189-
dc.description.abstractThis paper investigates linear systems with polynomial dependence on time-invariant uncertainties constrained in the simplex via homogeneous parameter-dependent quadratic Lyapunov functions (HPD-QLFs). It is shown that a sufficient condition for establishing whether the system is either stable or unstable can be obtained by solving a generalized eigenvalue problem. Moreover, this condition is also necessary by using a sufficiently large degree of the HPD-QLF. © 2009 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/automaticaen_HK
dc.relation.ispartofAutomaticaen_HK
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, 2010, v. 46-2, p. 471-474. DOI: 10.1016/j.automatica.2009.11.007-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectInstabilityen_HK
dc.subjectLyapunov functionen_HK
dc.subjectSMRen_HK
dc.subjectStabilityen_HK
dc.subjectUncertain systemen_HK
dc.titleTime-invariant uncertain systems: A necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0005-1098&volume=46-2&spage=471&epage=474&date=2010&atitle=Time-invariant+uncertain+systems:+a+necessary+and+sufficient+condition+for+stability+and+instability+via+homogeneous+parameter-dependent+quadratic+Lyapunov+functions-
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.automatica.2009.11.007en_HK
dc.identifier.scopuseid_2-s2.0-74149084422en_HK
dc.identifier.hkuros176741en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-74149084422&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume46en_HK
dc.identifier.issue2en_HK
dc.identifier.spage471en_HK
dc.identifier.epage474en_HK
dc.identifier.isiWOS:000274758400029-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.citeulike6243543-
dc.identifier.issnl0005-1098-

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