Computer Science Graduate Seminar: State Set Representations and their Usage in the Reachability Analysis of Hybrid Systems

 

Wednesday, September 25, 2019, 3:00pm

Location:   Computer Science Center, E3, Room 9222

Speaker: Stefan Schupp M.Sc. (Theory of Hybrid Systems)

Abstract:

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.

 

The computer science lecturers invite interested people to join.