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 | |