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Formal language properties of hybrid systems with strong resets

Published online by Cambridge University Press:  11 February 2010

Thomas Brihaye
Institute of Mathematics, University of Mons 20, Place du Parc, 7000 Mons, Belgium;
Véronique Bruyère
Institute of Computer Science, University of Mons 20, Place du Parc, 7000 Mons, Belgium;
Elaine Render
School of Mathematics, University of Manchester, Oxford Road, Manchester, U.K.;
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We study hybrid systems with strong resets from the perspective of formal language theory. We define a notion of hybrid regular expression and prove a Kleene-like theorem for hybrid systems. We also prove the closure of these systems under determinisation and complementation. Finally, we prove that the reachability problem is undecidable for synchronized products of hybrid systems.

Research Article
© EDP Sciences, 2010

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