## Title data

Ernst, Andreas ; Grüne, Lars ; Rieger, Janosch:

**A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems.**

Melbourne
,
2019
. - 15 p.

## Abstract in another language

We develop a new numerical method for approximating infinite time reachable sets of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with fixed facet normals as an outer approximation of the limit set. In particular, this approach does not rely on forward iteration of finite-time reachable sets.