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Conference Paper: On the convexity of sublevel sets of polynomial and homogeneous polynomial Lyapunov functions

TitleOn the convexity of sublevel sets of polynomial and homogeneous polynomial Lyapunov functions
Authors
KeywordsHomogeneous polynomial
LMI
Lyapunov function
Polynomial
Issue Date2006
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2006, p. 5198-5203 How to Cite?
AbstractPolynomial and homogeneous polynomial Lyapunov functions have recently received a lot of attention from the control community. However, no condition is still available to establish if their sublevel sets are convex, property that can be useful in several applications. This paper proposes some conditions to investigate this convexity property based on polynomial relaxations that can be handled through convex linear matrix inequalities optimizations. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/99245
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.contributor.authorHung, YSen_HK
dc.date.accessioned2010-09-25T18:21:46Z-
dc.date.available2010-09-25T18:21:46Z-
dc.date.issued2006en_HK
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2006, p. 5198-5203en_HK
dc.identifier.issn0191-2216en_HK
dc.identifier.urihttp://hdl.handle.net/10722/99245-
dc.description.abstractPolynomial and homogeneous polynomial Lyapunov functions have recently received a lot of attention from the control community. However, no condition is still available to establish if their sublevel sets are convex, property that can be useful in several applications. This paper proposes some conditions to investigate this convexity property based on polynomial relaxations that can be handled through convex linear matrix inequalities optimizations. © 2006 IEEE.en_HK
dc.languageengen_HK
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_HK
dc.subjectHomogeneous polynomialen_HK
dc.subjectLMIen_HK
dc.subjectLyapunov functionen_HK
dc.subjectPolynomialen_HK
dc.titleOn the convexity of sublevel sets of polynomial and homogeneous polynomial Lyapunov functionsen_HK
dc.typeConference_Paperen_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.scopuseid_2-s2.0-39649087390en_HK
dc.identifier.hkuros130741en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-39649087390&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage5198en_HK
dc.identifier.epage5203en_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.scopusauthoridHung, YS=8091656200en_HK

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