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Conference Paper: Estimating the domain of attraction: A light LMI technique for a class of polynomial systems

TitleEstimating the domain of attraction: A light LMI technique for a class of polynomial systems
Authors
Issue Date2003
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2003, v. 6, p. 5609-5614 How to Cite?
AbstractThe problem of computing the Largest Estimate of the Domain of Attraction (LEDA) of an equilibrium point for a given Lyapunov function is considered for a class of polynomial systems described by a linear and a homogeneous polynomial term. Such a class contains well known examples in control theory as the prey-predatory system, mass-spring systems with softening/hardening springs and electric circuits with vacuum tubes. It is shown that a lower bound of the LEDA can be obtained through a convex optimization constrained by a Linear Matrix Inequality (LMI). The contribution of the proposed technique with respect to the existing approaches consists of requiring a significantly smaller computational burden and guaranteeing the lower bound tightness for some system dimensions and degrees.
Persistent Identifierhttp://hdl.handle.net/10722/158389
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:59:23Z-
dc.date.available2012-08-08T08:59:23Z-
dc.date.issued2003en_US
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2003, v. 6, p. 5609-5614en_US
dc.identifier.issn0191-2216en_US
dc.identifier.urihttp://hdl.handle.net/10722/158389-
dc.description.abstractThe problem of computing the Largest Estimate of the Domain of Attraction (LEDA) of an equilibrium point for a given Lyapunov function is considered for a class of polynomial systems described by a linear and a homogeneous polynomial term. Such a class contains well known examples in control theory as the prey-predatory system, mass-spring systems with softening/hardening springs and electric circuits with vacuum tubes. It is shown that a lower bound of the LEDA can be obtained through a convex optimization constrained by a Linear Matrix Inequality (LMI). The contribution of the proposed technique with respect to the existing approaches consists of requiring a significantly smaller computational burden and guaranteeing the lower bound tightness for some system dimensions and degrees.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_US
dc.titleEstimating the domain of attraction: A light LMI technique for a class of polynomial systemsen_US
dc.typeConference_Paperen_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/CDC.2003.1271896en_US
dc.identifier.scopuseid_2-s2.0-1542378349en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1542378349&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume6en_US
dc.identifier.spage5609en_US
dc.identifier.epage5614en_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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