Bounded and unbounded safety verification using bisimulation metrics

Gang Zheng (1) , Antoine Girard (1)

1 CASYS - Calculs Algébriques et Systèmes Dynamiques

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.

Domaines: Optimisation et contrôle [math.OC]

Gang Zheng, Antoine Girard. Bounded and unbounded safety verification using bisimulation metrics. HSCC 2009 - 12th International Conference Hybrid Systems: Computation and Control, Apr 2009, San Francisco, CA, United States. pp.426-440, ⟨10.1007/978-3-642-00602-9_30⟩. ⟨hal-00379746⟩