Bounded and Unbounded Safety Verification Using Bisimulation Metrics

  • Authors:
  • Gang Zheng;Antoine Girard

  • Affiliations:
  • Laboratoire Jean Kuntzmann, Université de Grenoble,;Laboratoire Jean Kuntzmann, Université de Grenoble,

  • Venue:
  • HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
  • Year:
  • 2009

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Abstract

In this paper, we propose an algorithm for bounded safety verification for a class of hybrid systems described by metric transition systems. The algorithm combines exploration of the system trajectories and state space reduction using merging based on a bisimulation metric. The main novelty compared to an algorithm presented recently by Lerda et.al. lies in the introduction of a tuning parameter that makes it possible to increase the performances drastically. The second significant contribution of this work is a procedure that allows us to derive, in some cases, a proof of unbounded safety from a proof of bounded safety via a refinement step. We demonstrate the efficiency of the approach via experimental results.