Informatik-Oberseminar: Stefan Schupp: State Set Representations for Hybrid Systems Reachability Analysis

Mittwoch, 25.09.2019, 15.00 Uhr

Ort: RWTH Aachen University, Informatikzentrum - Ahornstr. 55, Erweiterungsgebäude E3, Raum 9222

Vortragender: Stefan Schupp



Hybrid systems in computer science are systems with combined discrete-continuous behavior. This work presents results obtained in the field of safety verification for linear hybrid systems whose continuous behavior can be described by linear differential equations. We focus on a special technique named flowpipe-construction-based reachability analysis, which over-approximates the reachable states of a given hybrid system as a finite union of state sets. In these computations we can use different geometric and symbolic representations for state sets as datatypes.

In this talk we focus on the following aspects:

- We present our C++ library HyPro, offering implementations for several state set representations that are commonly used in flowpipe-construction-based reachability analysis.

- We show the applicability of HyPro by embedding a flowpipe-construction-based reachability analysis method in a CEGAR-based abstraction refinement framework.

- We present our approach to decompose the search space and replace high-dimensional computations by computations in lower-dimensional subspaces.