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Article: Robust analysis of LFR systems through homogeneous polynomial Lyapunov functions

TitleRobust analysis of LFR systems through homogeneous polynomial Lyapunov functions
Authors
Chesi, GGarulli, ATesi, AVicino, A
Issue Date2004
Citation
Ieee Transactions On Automatic Control, 2004, v. 49 n. 7, p. 1211-1216 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2004.831152
AbstractIn this note, the use of homogeneous polynomial Lyapunov functions (HPLFs) for robust stability analysis of linear systems subject to time-varying parametric uncertainty, affecting rationally the state space matrix, is investigated. Sufficient conditions based on linear matrix inequalities feasibility tests are derived for the existence of HPLFs, which ensure robust stability when the uncertain parameter vector is restricted to lie in a convex polytope. It is shown that HPLFs lead to results which are less conservative than those obtainable via quadratic Lyapunov functions. © 2004 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/155430
ISSN
0018-9286
2021 Impact Factor: 6.549
2020 SCImago Journal Rankings: 3.436
ISI Accession Number ID
WOS:000222760800024
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.contributor.authorGarulli, Aen_US
dc.contributor.authorTesi, Aen_US
dc.contributor.authorVicino, Aen_US
dc.date.accessioned2012-08-08T08:33:27Z-
dc.date.available2012-08-08T08:33:27Z-
dc.date.issued2004en_US
dc.identifier.citationIeee Transactions On Automatic Control, 2004, v. 49 n. 7, p. 1211-1216en_US
dc.identifier.issn0018-9286en_US
dc.identifier.urihttp://hdl.handle.net/10722/155430-
dc.description.abstractIn this note, the use of homogeneous polynomial Lyapunov functions (HPLFs) for robust stability analysis of linear systems subject to time-varying parametric uncertainty, affecting rationally the state space matrix, is investigated. Sufficient conditions based on linear matrix inequalities feasibility tests are derived for the existence of HPLFs, which ensure robust stability when the uncertain parameter vector is restricted to lie in a convex polytope. It is shown that HPLFs lead to results which are less conservative than those obtainable via quadratic Lyapunov functions. © 2004 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Automatic Controlen_US
dc.titleRobust analysis of LFR systems through homogeneous polynomial Lyapunov functionsen_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.doi10.1109/TAC.2004.831152en_US
dc.identifier.scopuseid_2-s2.0-3843099320en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-3843099320&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue7en_US
dc.identifier.spage1211en_US
dc.identifier.epage1216en_US
dc.identifier.isiWOS:000222760800024-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US
dc.identifier.scopusauthoridGarulli, A=7003697493en_US
dc.identifier.scopusauthoridTesi, A=7007124648en_US
dc.identifier.scopusauthoridVicino, A=7006250298en_US
dc.identifier.issnl0018-9286-

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