Local controllability does imply global controllability

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

doi:10.5802/crmath.538

dc.contributor.author	Boscain, Ugo
dc.contributor.author	Cannarsa, Daniele
dc.contributor.author	Franceschi, Valentina
dc.contributor.author	Sigalotti, Mario
dc.date.accessioned	2024-01-12T07:48:59Z
dc.date.available	2024-01-12T07:48:59Z
dc.date.issued	2023
dc.identifier.citation	Boscain, U., Cannarsa, D., Franceschi, V., & Sigalotti, M. (2023). Local controllability does imply global controllability. <i>Comptes Rendus Mathematique</i>, <i>361</i>, 1813-1822. <a href="https://doi.org/10.5802/crmath.538" target="_blank">https://doi.org/10.5802/crmath.538</a>
dc.identifier.other	CONVID_197542391
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/92738
dc.description.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.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Academie des Sciences
dc.relation.ispartofseries	Comptes Rendus Mathematique
dc.rights	CC BY 4.0
dc.title	Local controllability does imply global controllability
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202401121239
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1813-1822
dc.relation.issn	1631-073X
dc.relation.volume	361
dc.type.version	publishedVersion
dc.rights.copyright	© 2023 the Authors
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	322898
dc.subject.yso	monistot
dc.subject.yso	differentiaaliyhtälöt
dc.subject.yso	säätöteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p28181
jyx.subject.uri	http://www.yso.fi/onto/yso/p3552
jyx.subject.uri	http://www.yso.fi/onto/yso/p868
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.5802/crmath.538
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	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.
dc.type.okm	A1