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Erschienen in:
2011 | OriginalPaper | Buchkapitel
SpaceEx: Scalable Verification of Hybrid Systems
verfasst von : Goran Frehse, Colas Le Guernic, Alexandre Donzé, Scott Cotton, Rajarshi Ray, Olivier Lebeltel, Rodolfo Ripado, Antoine Girard, Thao Dang, Oded Maler
Erschienen in: Computer Aided Verification
Verlag: Springer Berlin Heidelberg
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We present a scalable reachability algorithm for hybrid systems with piecewise affine, non-deterministic dynamics. It combines polyhedra and support function representations of continuous sets to compute an over-approximation of the reachable states. The algorithm improves over previous work by using variable time steps to guarantee a given local error bound. In addition, we propose an improved approximation model, which drastically improves the accuracy of the algorithm. The algorithm is implemented as part of SpaceEx, a new verification platform for hybrid systems, available at
spaceex.imag.fr
. Experimental results of full fixed-point computations with hybrid systems with more than 100 variables illustrate the scalability of the approach.