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Conference Paper: Input-to-state-KL*-Stability for a class of hybrid dynamical systems

TitleInput-to-state-KL*-Stability for a class of hybrid dynamical systems
Authors
KeywordsHybrid dwell time
Hybrid dynamical system (HDS)
Input-to-state stability (ISS)
IS- K −*-stability
Issue Date2016
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331
Citation
The 35th Chinese Control Conference (CCC 2016), Chengdu, China, 27-29 July 2016. In Conference Proceedings, 2016, p. 2374-2378 How to Cite?
AbstractThis paper investigates input-to-state-K ℒ*-stability (IS-K ℒ*-S) for hybrid dynamical systems (HDS) with external inputs. The notions of IS- K ℒθL KθK0-property and IS- K ℒθ-S are proposed for HDS. The IS- K ℒθL KθK0-property, including input-to-state stability (ISS) and IS- K ℒθ-S, is a more general input-to-state property and reflects the specific effects on the dynamic behavior of a HDS from its continuous/discrete-time subsystems and switching events. A HDS with IS- K ℒθL KθK0-property may be non-ISS. The conditions for HDS with IS- K ℒθL KθK0-property to achieve IS- K -θL-S are derived. These conditions are expressed by the conditions of K ℒ-function and finite accumulative value (KLF-FAV-conditions) while satisfying the hybrid dwell time condition (HDT). Finally, a criterion of IS- K -θ-S is given by using the multiple Lyapunov-like functions and the IS- K ℒθL KθK0-property of subsystems.
Persistent Identifierhttp://hdl.handle.net/10722/232348
ISBN
ISSN
2020 SCImago Journal Rankings: 0.152

 

DC FieldValueLanguage
dc.contributor.authorLiu, B-
dc.contributor.authorHill, DJ-
dc.contributor.authorLiu, T-
dc.date.accessioned2016-09-20T05:29:23Z-
dc.date.available2016-09-20T05:29:23Z-
dc.date.issued2016-
dc.identifier.citationThe 35th Chinese Control Conference (CCC 2016), Chengdu, China, 27-29 July 2016. In Conference Proceedings, 2016, p. 2374-2378-
dc.identifier.isbn978-988156391-0-
dc.identifier.issn1934-1768-
dc.identifier.urihttp://hdl.handle.net/10722/232348-
dc.description.abstractThis paper investigates input-to-state-K ℒ*-stability (IS-K ℒ*-S) for hybrid dynamical systems (HDS) with external inputs. The notions of IS- K ℒθL KθK0-property and IS- K ℒθ-S are proposed for HDS. The IS- K ℒθL KθK0-property, including input-to-state stability (ISS) and IS- K ℒθ-S, is a more general input-to-state property and reflects the specific effects on the dynamic behavior of a HDS from its continuous/discrete-time subsystems and switching events. A HDS with IS- K ℒθL KθK0-property may be non-ISS. The conditions for HDS with IS- K ℒθL KθK0-property to achieve IS- K -θL-S are derived. These conditions are expressed by the conditions of K ℒ-function and finite accumulative value (KLF-FAV-conditions) while satisfying the hybrid dwell time condition (HDT). Finally, a criterion of IS- K -θ-S is given by using the multiple Lyapunov-like functions and the IS- K ℒθL KθK0-property of subsystems.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331-
dc.relation.ispartofChinese Control Conference-
dc.rightsChinese Control Conference. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.subjectHybrid dwell time-
dc.subjectHybrid dynamical system (HDS)-
dc.subjectInput-to-state stability (ISS)-
dc.subjectIS- K −*-stability-
dc.titleInput-to-state-KL*-Stability for a class of hybrid dynamical systems-
dc.typeConference_Paper-
dc.identifier.emailLiu, B: binliu@hku.hk-
dc.identifier.emailHill, DJ: dhill@eee.hku.hk-
dc.identifier.emailLiu, T: taoliu@hku.hk-
dc.identifier.authorityHill, DJ=rp01669-
dc.identifier.authorityLiu, T=rp02045-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/ChiCC.2016.7553719-
dc.identifier.scopuseid_2-s2.0-84987909184-
dc.identifier.hkuros266314-
dc.identifier.hkuros279959-
dc.identifier.spage2374-
dc.identifier.epage2378-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 161007-
dc.identifier.issnl1934-1768-

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