Reachability games for linear hybrid systems

  • Authors:
  • Massimo Benerecetti;Marco Faella;Stefano Minopoli

  • Affiliations:
  • University of Naples "Federico II", Naples, Italy;University of Naples "Federico II", Naples, Italy;University of Naples "Federico II", Naples, Italy

  • Venue:
  • Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
  • Year:
  • 2012

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Abstract

We consider the problem of computing the controllable region of a Linear Hybrid Automaton with controllable and uncontrollable transitions, w.r.t. a reachability objective. We provide a semi-algorithm for the problem, by proposing the first algorithm in the literature for computing the set of states that must reach a given polyhedron while avoiding another one, subject to a polyhedral constraint on the slope of the trajectory. Experimental results are presented, based on an implementation of the proposed algorithm on top of the tool PHAVer.