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Article: Establishing convexity of polynomial Lyapunov functions and their sublevel sets

TitleEstablishing convexity of polynomial Lyapunov functions and their sublevel sets
Authors
KeywordsConvexity
Linear matrix inequality (LMI)
Lyapunov function
Polynomial
Sublevel set
Issue Date2008
PublisherIEEE
Citation
Ieee Transactions On Automatic Control, 2008, v. 53 n. 10, p. 2431-2436 How to Cite?
AbstractThere has been renewed interest in the use of polynomial and homogeneous polynomial Lyapunov functions for addressing stability and performance issues in systems and control theory. However, no condition is yet available to establish the convexity of these functions and the convexity of their sublevel sets, properties that can be useful in many applications. In this paper, new conditions for establishing these convexity properties are proposed, which can be handled through convex linear matrix inequalities optimizations by means of sum-of-squares relaxations. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/58753
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-05-31T03:36:18Z-
dc.date.available2010-05-31T03:36:18Z-
dc.date.issued2008en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 2008, v. 53 n. 10, p. 2431-2436en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/58753-
dc.description.abstractThere has been renewed interest in the use of polynomial and homogeneous polynomial Lyapunov functions for addressing stability and performance issues in systems and control theory. However, no condition is yet available to establish the convexity of these functions and the convexity of their sublevel sets, properties that can be useful in many applications. In this paper, new conditions for establishing these convexity properties are proposed, which can be handled through convex linear matrix inequalities optimizations by means of sum-of-squares relaxations. © 2008 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEEen_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rights©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.subjectConvexityen_HK
dc.subjectLinear matrix inequality (LMI)en_HK
dc.subjectLyapunov functionen_HK
dc.subjectPolynomialen_HK
dc.subjectSublevel seten_HK
dc.titleEstablishing convexity of polynomial Lyapunov functions and their sublevel setsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=53&spage=2431&epage=2436&date=2008&atitle=Establishing+convexity+of+polynomial+Lyapunov+functions+and+their+sublevel+setsen_HK
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.emailHung, YS:yshung@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.identifier.authorityHung, YS=rp00220en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/TAC.2008.2007857en_HK
dc.identifier.scopuseid_2-s2.0-56549098854en_HK
dc.identifier.hkuros156187en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-56549098854&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue10en_HK
dc.identifier.spage2431en_HK
dc.identifier.epage2436en_HK
dc.identifier.isiWOS:000260899600024-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK
dc.identifier.citeulike9398432-

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