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Conference Paper: Input-to-state-KL*-Stability for a class of hybrid dynamical systems
Title | Input-to-state-KL*-Stability for a class of hybrid dynamical systems |
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Authors | |
Keywords | Hybrid dwell time Hybrid dynamical system (HDS) Input-to-state stability (ISS) IS- K −*-stability |
Issue Date | 2016 |
Publisher | Institute 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? |
Abstract | This 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 Identifier | http://hdl.handle.net/10722/232348 |
ISBN | |
ISSN | 2020 SCImago Journal Rankings: 0.152 |
DC Field | Value | Language |
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dc.contributor.author | Liu, B | - |
dc.contributor.author | Hill, DJ | - |
dc.contributor.author | Liu, T | - |
dc.date.accessioned | 2016-09-20T05:29:23Z | - |
dc.date.available | 2016-09-20T05:29:23Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | The 35th Chinese Control Conference (CCC 2016), Chengdu, China, 27-29 July 2016. In Conference Proceedings, 2016, p. 2374-2378 | - |
dc.identifier.isbn | 978-988156391-0 | - |
dc.identifier.issn | 1934-1768 | - |
dc.identifier.uri | http://hdl.handle.net/10722/232348 | - |
dc.description.abstract | This 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.language | eng | - |
dc.publisher | Institute 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.ispartof | Chinese Control Conference | - |
dc.rights | Chinese 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.subject | Hybrid dwell time | - |
dc.subject | Hybrid dynamical system (HDS) | - |
dc.subject | Input-to-state stability (ISS) | - |
dc.subject | IS- K −*-stability | - |
dc.title | Input-to-state-KL*-Stability for a class of hybrid dynamical systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Liu, B: binliu@hku.hk | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.email | Liu, T: taoliu@hku.hk | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.identifier.authority | Liu, T=rp02045 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ChiCC.2016.7553719 | - |
dc.identifier.scopus | eid_2-s2.0-84987909184 | - |
dc.identifier.hkuros | 266314 | - |
dc.identifier.hkuros | 279959 | - |
dc.identifier.spage | 2374 | - |
dc.identifier.epage | 2378 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 161007 | - |
dc.identifier.issnl | 1934-1768 | - |