A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems
Optimization and Control
2019-04-03 v3
Abstract
We develop a new numerical method for approximating the infinite time reachable set 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.
Cite
@article{arxiv.1902.05239,
title = {A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems},
author = {Andreas Ernst and Lars Grüne and Janosch Rieger},
journal= {arXiv preprint arXiv:1902.05239},
year = {2019}
}