File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: Guaranteed estimates of the domain of attraction for a class of hybrid systems

TitleGuaranteed estimates of the domain of attraction for a class of hybrid systems
Authors
Issue Date2013
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188
Citation
The 52nd IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 2024-2029 How to Cite?
AbstractThis paper addresses the estimation of the domain of attraction for a class of hybrid nonlinear systems where the state space is partitioned into several regions. Each region is described by polynomial inequalities, and one of these regions is the complement of the union of all the others in order to ensure complete cover of the state space. The system dynamics is defined on each region independently from the others by polynomial functions. The problem of computing the largest sublevel set of a Lyapunov function included in the domain of attraction is considered. An approach is proposed for addressing this problem based on linear matrix inequalities (LMIs), which provides a lower bound of the sought estimate by establishing negativity of the Lyapunov function derivative on each region. Moreover, a sufficient and necessary condition is provided for establishing optimality of the found lower bound. The results are illustrated by some numerical examples. © 2013 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/199365
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorLuk, CKen_US
dc.contributor.authorChesi, Gen_US
dc.contributor.authorHan, Den_US
dc.date.accessioned2014-07-22T01:15:37Z-
dc.date.available2014-07-22T01:15:37Z-
dc.date.issued2013en_US
dc.identifier.citationThe 52nd IEEE Conference on Decision and Control (CDC 2013), Florence, Italy, 10-13 December 2013. In IEEE Conference on Decision and Control Proceedings, 2013, p. 2024-2029en_US
dc.identifier.isbn978-1-4673-5717-3-
dc.identifier.issn0743-1546-
dc.identifier.urihttp://hdl.handle.net/10722/199365-
dc.description.abstractThis paper addresses the estimation of the domain of attraction for a class of hybrid nonlinear systems where the state space is partitioned into several regions. Each region is described by polynomial inequalities, and one of these regions is the complement of the union of all the others in order to ensure complete cover of the state space. The system dynamics is defined on each region independently from the others by polynomial functions. The problem of computing the largest sublevel set of a Lyapunov function included in the domain of attraction is considered. An approach is proposed for addressing this problem based on linear matrix inequalities (LMIs), which provides a lower bound of the sought estimate by establishing negativity of the Lyapunov function derivative on each region. Moreover, a sufficient and necessary condition is provided for establishing optimality of the found lower bound. The results are illustrated by some numerical examples. © 2013 IEEE.-
dc.languageengen_US
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188-
dc.relation.ispartofIEEE Conference on Decision and Control Proceedingsen_US
dc.rightsIEEE Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2013 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.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleGuaranteed estimates of the domain of attraction for a class of hybrid systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CDC.2013.6760179-
dc.identifier.scopuseid_2-s2.0-84902321992-
dc.identifier.hkuros230395en_US
dc.identifier.spage2024en_US
dc.identifier.epage2029en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140822-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats