{"id":"https://openalex.org/W2047333317","doi":"https://doi.org/10.1137/120901830","title":"On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space","display_name":"On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2047333317","doi":"https://doi.org/10.1137/120901830","mag":"2047333317"},"language":"en","primary_location":{"id":"doi:10.1137/120901830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120901830","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-01271288","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000279658","display_name":"Yacine Chitour","orcid":"https://orcid.org/0000-0002-3214-5824"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Y. Chitour","raw_affiliation_strings":["L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033739739","display_name":"Mauricio Godoy Molina","orcid":"https://orcid.org/0000-0002-1668-2945"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I11944219","display_name":"Universidad de La Frontera","ror":"https://ror.org/04v0snf24","country_code":"CL","type":"education","lineage":["https://openalex.org/I11944219"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["CL","FI","FR"],"is_corresponding":false,"raw_author_name":"M. Godoy Molina","raw_affiliation_strings":["L2S, Universit\u00e9 Paris-Sud XI, CNRS and Sup\u00e9lec, Gif-sur-Yvette, 91192, France and","L2S, Universit\u00e9 Paris-Sud XI, CNRS and Sup\u00e9lec, Gif-sur-Yvette, 91192, France","Universidad de La Frontera PETRI KOKKONEN","University of Eastern Finland, Department of Applied Physics, 70211, Kuopio, Finland","Universit\u00e9 Paris-Sud"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L2S, Universit\u00e9 Paris-Sud XI, CNRS and Sup\u00e9lec, Gif-sur-Yvette, 91192, France and","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I102475099","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"L2S, Universit\u00e9 Paris-Sud XI, CNRS and Sup\u00e9lec, Gif-sur-Yvette, 91192, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I102475099","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universidad de La Frontera PETRI KOKKONEN","institution_ids":["https://openalex.org/I11944219"]},{"raw_affiliation_string":"University of Eastern Finland, Department of Applied Physics, 70211, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Sud","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068587865","display_name":"Petri Kokkonen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. Kokkonen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0125,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84928603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"53","issue":"2","first_page":"948","last_page":"968"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9513999819755554,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9316999912261963,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/holonomy","display_name":"Holonomy","score":0.8780418634414673},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8487684726715088},{"id":"https://openalex.org/keywords/hyperbolic-space","display_name":"Hyperbolic space","score":0.7092074155807495},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.6684654951095581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6351357698440552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6304805278778076},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5853185057640076},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5353380441665649},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.504768967628479},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.49889111518859863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4158409535884857},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14691194891929626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11455020308494568},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.10306814312934875}],"concepts":[{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.8780418634414673},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8487684726715088},{"id":"https://openalex.org/C83677898","wikidata":"https://www.wikidata.org/wiki/Q1878538","display_name":"Hyperbolic space","level":2,"score":0.7092074155807495},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.6684654951095581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6351357698440552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6304805278778076},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5853185057640076},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5353380441665649},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.504768967628479},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.49889111518859863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4158409535884857},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14691194891929626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11455020308494568},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.10306814312934875},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/120901830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120901830","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01271288v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-01271288","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2015, 53 (2), pp.948-968. &#x27E8;10.1137/120901830&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.ufro.cl:15925","is_oa":true,"landing_page_url":"https://repositorio.ufro.cl/s/repositorio-ufro/item/15925","pdf_url":null,"source":{"id":"https://openalex.org/S7407063275","display_name":"Omeka S (Universidad de La Frontera)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM JOURNAL ON CONTROL AND OPTIMIZATION","raw_type":null}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01271288v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-01271288","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2015, 53 (2), pp.948-968. &#x27E8;10.1137/120901830&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W218489606","https://openalex.org/W1906211838","https://openalex.org/W1995534712","https://openalex.org/W2000672759","https://openalex.org/W2002711565","https://openalex.org/W2008310509","https://openalex.org/W2036262717","https://openalex.org/W2054699893","https://openalex.org/W2055410881","https://openalex.org/W2064095831","https://openalex.org/W2121699121","https://openalex.org/W2129924563","https://openalex.org/W2165152668","https://openalex.org/W2963899673"],"related_works":["https://openalex.org/W3128228318","https://openalex.org/W4240041676","https://openalex.org/W2045336066","https://openalex.org/W4297783881","https://openalex.org/W4283363724","https://openalex.org/W4226182716","https://openalex.org/W4366330423","https://openalex.org/W4388640056","https://openalex.org/W1608408498","https://openalex.org/W2103057821"],"abstract_inverted_index":{"In":[0],"the":[1,6,9,25,35,59,73,76,96,111],"present":[2],"paper,":[3],"we":[4],"study":[5],"controllability":[7,77],"of":[8,19,52,91,95,106],"control":[10],"system":[11,36],"associated":[12],"with":[13],"rolling":[14],"without":[15],"slipping":[16],"or":[17],"spinning":[18],"a":[20,49,53,88,92,100],"Riemannian":[21,66],"manifold":[22],"$(M,g)$":[23,44,86],"onto":[24],"hyperbolic":[26,93],"$n$-space":[27],"${\\mathbb":[28,114],"H}^n$.":[29],"Our":[30],"main":[31],"result":[32],"states":[33],"that":[34,75],"is":[37,45,70],"completely":[38],"controllable":[39],"if":[40,43],"and":[41,99],"only":[42],"not":[46],"isometric":[47],"to":[48,58,83],"warped":[50],"product":[51],"special":[54],"form,":[55],"in":[56,79],"analogy":[57],"classical":[60],"de":[61],"Rham":[62],"decomposition":[63],"theorem":[64],"for":[65],"manifolds.":[67],"The":[68],"proof":[69],"based":[71],"on":[72,110],"observations":[74],"issue":[78],"this":[80],"case":[81],"reduces":[82],"determining":[84],"whether":[85],"admits":[87],"reducible":[89],"action":[90],"analog":[94],"holonomy":[97],"group":[98],"well-known":[101],"fact":[102],"about":[103],"connected":[104],"subgroups":[105],"${O}(n,1)$":[107],"acting":[108],"irreducibly":[109],"Lorentzian":[112],"space":[113],"R}^{n,1}$.":[115]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
