Achievable behavior by composition

Arjan van der Schaft, A.A.J. Anak Agung Julius

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

    13 Citations (Scopus)
    71 Downloads (Pure)


    A fundamental question in systems and control theory concerns the characterization of the set of achievable closed-loop systems for a given plant system and a controller system to be designed. This problem, for example, shows up in assessing the ’limits of performance’ of a controlled system. Similar problems have been studied by researchers in automata theory and discrete event systems replacing the notion of closed-loop system by the composition of a given system and its controller. In this paper this problem is addressed in a general behavioral context. Necessary and often sufficient conditions for a behavior to be achievable are given, and for any achievable behavior a canonical controller is defined. These results generalize previously obtained results obtained for finite-dimensional linear systems. Next these general results are applied to classes of automata and hybrid systems.
    Original languageUndefined
    Title of host publicationProceedings of the 41st IEEE Conference on Decision and Control
    Place of PublicationLas Vegas, Nevada, U.S.A.
    Number of pages6
    ISBN (Print)0-7803-7516-5
    Publication statusPublished - Dec 2002
    Event41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States
    Duration: 10 Dec 200213 Dec 2002
    Conference number: 41

    Publication series

    ISSN (Print)0191-2216


    Conference41st IEEE Conference on Decision and Control, CDC 2002
    Abbreviated titleCDC
    Country/TerritoryUnited States
    CityLas Vegas


    • EWI-16743
    • METIS-210906
    • IR-69142

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