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hybrid systems with strong resets

RAIRO - Theoretical Informatics and Applications (1)

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Formal language properties of hybrid systems with strong resets
Thomas Brihaye, Véronique Bruyère, Elaine Render
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 44 / Issue 1 / January 2010

Published online by Cambridge University Press:

11 February 2010, pp. 79-111

Print publication:

January 2010
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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.