Divide and Conquer: Variable Set Separation in Hybrid Systems Reachability Analysis
Abstract
In this paper we propose an improvement for flowpipe-construction-based reachability analysis techniques for hybrid systems. Such methods apply iterative successor computations to pave the reachable region of the state space by state sets in an over-approximative manner. As the computational costs steeply increase with the dimension, in this work we analyse the possibilities for improving scalability by dividing the search space in sub-spaces and execute reachability computations in the sub-spaces instead of the global space. We formalise such an algorithm and provide experimental evaluations to compare the efficiency as well as the precision of our sub-space search to the original search in the global space.
Cite
@article{arxiv.1707.04851,
title = {Divide and Conquer: Variable Set Separation in Hybrid Systems Reachability Analysis},
author = {Stefan Schupp and Johanna Nellen and Erika Ábrahám},
journal= {arXiv preprint arXiv:1707.04851},
year = {2017}
}
Comments
In Proceedings QAPL 2017, arXiv:1707.03668. This work was partially supported by the German Research Council (DFG) in the context of the HyPro project