State Set Representations for Hybrid Systems Reachability Analysis

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Stefan Schupp

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The increasing usage of digital systems to controll continuous processes has risen the need for formal verification of those hybrid systems, which combine discrete and continuous behavior. In my work I focus on flowpipe construction as one method to verify hybrid systems by means of reachability analysis. Flowpipe construction tries to over-approximate the set of reachable states of a given system by a set of geometric shapes for example boxes, convex polytopes, support functions or zonotopes. I have implemented and collected all of those state set representations in the publicly available open-source C++ library HyPro. To allow for modularized approaches indepentently of the state set representation we provide a unified interface of operations required for reachability analysis as well as several reduction and conversion techniques. Furthermore the library provides datastructures and utility functions for example required to set up a flowpipe-construction based reachability analysis algorithm.
To show applicability of the library I currently implement and maintain the reachability analysis tool HyDRA - not yet published -, which extends classical flowpipe-construction by several newly developed approaches. These include state set separation based on different dynamics, partial path refinement to falsify spurious counterexamples and most recently a parallelization of the whole approach.