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Article: Estimating the domain of attraction via union of continuous families of Lyapunov estimates

TitleEstimating the domain of attraction via union of continuous families of Lyapunov estimates
Authors
Chesi, G
KeywordsDomain of attraction
LMI
Lyapunov function
Parameter-dependent estimate
Polynomial system
Issue Date2007
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2007, v. 56 n. 4, p. 326-333 How to Cite?
DOI: http://dx.doi.org/10.1016/j.sysconle.2006.10.012
AbstractThis paper proposes a new approach to estimate the domain of attraction of equilibrium points of polynomial systems. The idea consists of estimating the domain of attraction via the union of a continuous family of Lyapunov estimates rather than via one Lyapunov estimate only as done in existing methods. This family is obtained through a convex LMI optimization by deriving a stability condition which takes simultaneously into account all considered Lyapunov functions. Moreover, inner approximations of the union of this family via a set with simple shape are also derived. © 2006 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/73759
ISSN
0167-6911
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 1.503
ISI Accession Number ID
WOS:000245068500010
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.date.accessioned2010-09-06T06:54:29Z-
dc.date.available2010-09-06T06:54:29Z-
dc.date.issued2007en_HK
dc.identifier.citationSystems And Control Letters, 2007, v. 56 n. 4, p. 326-333en_HK
dc.identifier.issn0167-6911en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73759-
dc.description.abstractThis paper proposes a new approach to estimate the domain of attraction of equilibrium points of polynomial systems. The idea consists of estimating the domain of attraction via the union of a continuous family of Lyapunov estimates rather than via one Lyapunov estimate only as done in existing methods. This family is obtained through a convex LMI optimization by deriving a stability condition which takes simultaneously into account all considered Lyapunov functions. Moreover, inner approximations of the union of this family via a set with simple shape are also derived. © 2006 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_HK
dc.relation.ispartofSystems and Control Lettersen_HK
dc.rightsSystems & Control Letters. Copyright © Elsevier BV.en_HK
dc.subjectDomain of attractionen_HK
dc.subjectLMIen_HK
dc.subjectLyapunov functionen_HK
dc.subjectParameter-dependent estimateen_HK
dc.subjectPolynomial systemen_HK
dc.titleEstimating the domain of attraction via union of continuous families of Lyapunov estimatesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=56&spage=326&epage=333&date=2007&atitle=Estimating+the+domain+of+attraction+via+union+of+continuous+families+of+Lyapunov+estimatesen_HK
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.sysconle.2006.10.012en_HK
dc.identifier.scopuseid_2-s2.0-33847081714en_HK
dc.identifier.hkuros130704en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33847081714&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume56en_HK
dc.identifier.issue4en_HK
dc.identifier.spage326en_HK
dc.identifier.epage333en_HK
dc.identifier.isiWOS:000245068500010-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK
dc.identifier.issnl0167-6911-

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