Local controllability does imply global controllability

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...

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Bibliographic Details
Main Authors: Boscain, Ugo, Cannarsa, Daniele, Franceschi, Valentina, Sigalotti, Mario
Format: Article
Language:English
Published: Académie des sciences 2023-12-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.538/
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