Local controllability does imply global controllability
Optimization and Control
2021-10-29 v2 Dynamical Systems
Abstract
We say that a control system is locally controllable if the attainable set from any state contains an open neighborhood of , while it is controllable if the attainable set from any state is the entire state manifold. We show in this note that a control system satisfying local controllability is controllable. Our self-contained proof is alternative to the combination of two previous results by Kevin Grasse.
Keywords
Cite
@article{arxiv.2110.06631,
title = {Local controllability does imply global controllability},
author = {Ugo Boscain and Daniele Cannarsa and Valentina Franceschi and Mario Sigalotti},
journal= {arXiv preprint arXiv:2110.06631},
year = {2021}
}
Comments
9 pages, 4 figures, 2 tables; this updated version includes new citations to previous literature