Realization Theory for Linear Hybrid Systems

Mihaly Petreczky, Jan H. van Schuppen

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    Abstract

    The paper develops realization theory for linear hybrid systems, i.e., hybrid systems in continuous-time without guards whose continuous dynamics is determined by linear control systems and whose discrete dynamics is determined by a finite-state automaton. We will formulate necessary and sufficient conditions for the existence of a realization. We will show that minimality is equivalent to observability and span-reachability, and that minimal systems are isomorphic. In turn, observability and span-reachability can be characterized by rank conditions.
    Original languageEnglish
    Pages (from-to)2282-2297
    Number of pages16
    JournalIEEE Trans. Automat. Contr.
    Volume55
    Issue number10
    DOIs
    Publication statusPublished - 2010

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