Switched behaviors with impulses - A unifying framework

Stephan Trenn*, Jan C. Willems

*Corresponding author for this work

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

    5 Citations (Scopus)

    Abstract

    We present a new framework to describe and study switched behaviors. We allow for jumps and impulses in the trajectories induced either implicitly by the dynamics after the switch or explicitly by 'impacts'. With some examples from electrical circuit we motivate that the dynamical equations before and after the switch already uniquely define the 'dynamics' at the switch, i.e. jumps and impulses. On the other hand, we also allow for external impacts resulting in jumps and impulses not induced by the internal dynamics. As a first theoretical result in this new framework we present a characterization for autonomy of a switched behavior.

    Original languageEnglish
    Title of host publication 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
    PublisherIEEE
    Pages3203-3208
    Number of pages6
    ISBN (Electronic)978-1-4673-2066-5
    ISBN (Print)978-1-4673-2065-8
    DOIs
    Publication statusPublished - 2012
    Event2012 IEEE 51st Annual Conference on Decision and Control (CDC), Maui, Hawaii, USA -
    Duration: 10-Dec-201213-Dec-2012

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0191-2216

    Conference

    Conference2012 IEEE 51st Annual Conference on Decision and Control (CDC), Maui, Hawaii, USA
    Period10/12/201213/12/2012

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