Local controllability does imply global controllability

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

doi:10.5802/crmath.538

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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

Julkaistu sarjassa

Comptes Rendus Mathematique

Tekijät

Boscain, Ugo |

Cannarsa, Daniele |

Franceschi, Valentina |

Sigalotti, Mario

Päivämäärä

2023

Tekijänoikeudet

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.

Julkaisija

Academie des Sciences

ISSN Hae Julkaisufoorumista

1631-073X

Rahoittaja(t)

Suomen Akatemia

Rahoitusohjelmat(t)

Akatemiahanke, SA

Lisätietoja rahoituksesta

This work was partially supported by the ANR-DFG project ANR-22-CE92-0077-01 CoRoMo. The second author is supported by the Academy of Finland (grant 322898 ‘Sub-Riemannian Geometry via Metricgeometry and Lie-group Theory’). This project has received financial support from the CNRS through the MITI interdisciplinary programs.

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Ellei muuten mainita, aineiston lisenssi on CC BY 4.0