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 editorsBoscain, Ugo; Cannarsa, Daniele; Franceschi, Valentina; Sigalotti, Mario

Journal or seriesComptes Rendus Mathematique



Publication year2023

Publication date21/12/2023


Pages range1813-1822

PublisherAcademie des Sciences

Publication countryFrance

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessOpen 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


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.

Keywordscontrol theorydifferential equationsmanifolds (mathematics)

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Ministry reportingYes

Reporting Year2023

JUFO rating1

Last updated on 2024-15-06 at 01:26