A1 Journal article (refereed)
Local controllability does imply global controllability (2023)
La contrôlabilité locale implique la contrôlabilité globale

Boscain, U., Cannarsa, D., Franceschi, V., & Sigalotti, M. (2023). Local controllability does imply global controllability. Comptes Rendus Mathematique, 361, 1813-1822. https://doi.org/10.5802/crmath.538

JYU authors or editors

Publication details

All authors or editors: Boscain, Ugo; Cannarsa, Daniele; Franceschi, Valentina; Sigalotti, Mario

Journal or series: Comptes Rendus Mathematique

ISSN: 1631-073X

eISSN: 1778-3569

Publication year: 2023

Publication date: 21/12/2023

Volume: 361

Pages range: 1813-1822

Publisher: Academie des Sciences

Publication country: France

Publication language: English

DOI: https://doi.org/10.5802/crmath.538

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/92738

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2110.06631

Abstract

We say that a control system is locally controllable if the attainable set from any state x contains an open neighborhood of x, 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: control theory; differential equations; manifolds (mathematics)

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Ministry reporting: Yes

Reporting Year: 2023

Preliminary JUFO rating: 1