Relating time progress and deadlines in hybrid systems

  • Sébastien Bornot
  • Joseph Sifakis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1201)


Time progress conditions in hybrid systems are usually specified in terms of invariants, predicates characterizing states where time can continuously progress or dually, deadline conditions, predicates characterizing states where time progress immediately stops. The aim of this work is the study of relationships between general time progress conditions and these generated by using state predicates. It is shown that using deadline conditions or invariants allows to characterize all practically interesting time progress conditions. The study is performed by using a Galois connection between the corresponding lattices. We provide conditions for the connection to be a homomorphism and apply the results to the compositional description of hybrid systems.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Sébastien Bornot
    • 1
  • Joseph Sifakis
    • 1
  1. 1.Verimag is a joint laboratory of CNRS, Institut National Polytechnique de GrenobleUniversité J. Fourier and Vérilog SA associated with IMAG. Verimag Centre EquationGièresFrance

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