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Article: Stability under events for a class of hybrid dynamical systems with continuous and discrete time variables
Title | Stability under events for a class of hybrid dynamical systems with continuous and discrete time variables |
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Authors | |
Keywords | asymptotic stability discrete time systems Lyapunov methods stability stability criteria |
Issue Date | 2019 |
Publisher | The Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA |
Citation | IET Control Theory and Applications, 2019, v. 13 n. 10, p. 1543-1553 How to Cite? |
Abstract | This studies the stability under events for a class of hybrid dynamical systems (HDSs). The HDS is modelled via continuous and discrete time (CDT) variables. It is allowed that an HDS has time-varying, unstable, non-linear, different dwell time, and infinite number of subsystems. The stability under events reflects the effects of switching and impulse type events in HDS. By defining the length of CDT variable and extending the notion of hybrid-event-time in the literature, the concepts on global uniform asymptotic stability (GUAS) and event-GUAS are reasonably defined. By employing multiple Lyapunov-like functions, criteria on GUAS and event-GUAS are established. Moreover, by extending average dwell time (ADT) to hybrid ADT, the relations between GUAS and event-GUAS are derived. And the criteria on global uniform exponential stability under events (event-GUES) are obtained. A method via maximal admissible probabilities of unstable subsystems is proposed to test the conditions of event-GUES. As two special cases, the traditional stability criteria of only continuous or discrete variables are also derived. Finally, three examples are provided to verify the main results. |
Persistent Identifier | http://hdl.handle.net/10722/288066 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 0.957 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, B | - |
dc.contributor.author | Hill, DJ | - |
dc.date.accessioned | 2020-10-05T12:07:22Z | - |
dc.date.available | 2020-10-05T12:07:22Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | IET Control Theory and Applications, 2019, v. 13 n. 10, p. 1543-1553 | - |
dc.identifier.issn | 1751-8644 | - |
dc.identifier.uri | http://hdl.handle.net/10722/288066 | - |
dc.description.abstract | This studies the stability under events for a class of hybrid dynamical systems (HDSs). The HDS is modelled via continuous and discrete time (CDT) variables. It is allowed that an HDS has time-varying, unstable, non-linear, different dwell time, and infinite number of subsystems. The stability under events reflects the effects of switching and impulse type events in HDS. By defining the length of CDT variable and extending the notion of hybrid-event-time in the literature, the concepts on global uniform asymptotic stability (GUAS) and event-GUAS are reasonably defined. By employing multiple Lyapunov-like functions, criteria on GUAS and event-GUAS are established. Moreover, by extending average dwell time (ADT) to hybrid ADT, the relations between GUAS and event-GUAS are derived. And the criteria on global uniform exponential stability under events (event-GUES) are obtained. A method via maximal admissible probabilities of unstable subsystems is proposed to test the conditions of event-GUES. As two special cases, the traditional stability criteria of only continuous or discrete variables are also derived. Finally, three examples are provided to verify the main results. | - |
dc.language | eng | - |
dc.publisher | The Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA | - |
dc.relation.ispartof | IET Control Theory and Applications | - |
dc.rights | [Pre-print to be removed on publication] “This paper is a postprint of a paper submitted to and accepted for publication in [journal] and is subject to IET copyright. The copy of record is available at IET Digital Library [link using doi]” | - |
dc.subject | asymptotic stability | - |
dc.subject | discrete time systems | - |
dc.subject | Lyapunov methods | - |
dc.subject | stability | - |
dc.subject | stability criteria | - |
dc.title | Stability under events for a class of hybrid dynamical systems with continuous and discrete time variables | - |
dc.type | Article | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1049/iet-cta.2018.5180 | - |
dc.identifier.scopus | eid_2-s2.0-85067348735 | - |
dc.identifier.hkuros | 315074 | - |
dc.identifier.volume | 13 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | 1543 | - |
dc.identifier.epage | 1553 | - |
dc.identifier.isi | WOS:000471712200013 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1751-8644 | - |