Input-to-state stability for a class of hybrid dynamical systems via hybrid time approach

Bin Liu, David J. Hill, Kok Lay Teo

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

7 Citations (Scopus)

Abstract

This paper studies the ISS (input-to-state stability) for a class of HDS (hybrid dynamical systems). By using the concept of hybrid time for HDS, two kinds of ISS notions are proposed. They are called the first ISS property and the second ISS property of HDS. By employing the ISS properties on continuous and/or discrete dynamics in the HDS, the first and second ISS properties for the whole HDS are investigated. We show that there exists the first ISS property for the whole HDS if any one of dynamics in the HDS has the ISS property and the dwell time on this dynamics is sufficiently long even if there is no ISS property for the other dynamics. Moreover, the second ISS property of HDS is derived for the cases in which one kind of dynamics without external inputs has a stability property while the other one has no stability and ISS properties. Finally, one example is given for illustration.

Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages3926-3931
Number of pages6
ISBN (Print)9781424438716
DOIs
Publication statusPublished - 2009
Externally publishedYes
EventIEEE Conference on Decision and Control held jointly with Chinese Control Conference 2009 - Shanghai, China
Duration: 15 Dec 200918 Dec 2009
Conference number: 48th & 28th

Conference

ConferenceIEEE Conference on Decision and Control held jointly with Chinese Control Conference 2009
Abbreviated titleCDC/CCC 2009
Country/TerritoryChina
CityShanghai
Period15/12/0918/12/09

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