{"id":"https://openalex.org/W2062736827","doi":"https://doi.org/10.1109/tac.2013.2272886","title":"Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity","display_name":"Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity","publication_year":2013,"publication_date":"2013-07-11","ids":{"openalex":"https://openalex.org/W2062736827","doi":"https://doi.org/10.1109/tac.2013.2272886","mag":"2062736827"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2272886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2272886","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00935675","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035190429","display_name":"Arturo Zavala\u2010R\u00edo","orcid":"https://orcid.org/0000-0002-5473-2907"},"institutions":[{"id":"https://openalex.org/I147482076","display_name":"Institute for Scientific and Technological Research","ror":"https://ror.org/03sbzv212","country_code":"MX","type":"funder","lineage":["https://openalex.org/I147482076"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Arturo Zavala-Rio","raw_affiliation_strings":["Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, San Luis Potos\u00ed, S.L.P., Mexico","Inst. Potosino de Investig. Cienc. y Tecnol., San Luis Potosi, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, San Luis Potos\u00ed, S.L.P., Mexico","institution_ids":["https://openalex.org/I147482076"]},{"raw_affiliation_string":"Inst. Potosino de Investig. Cienc. y Tecnol., San Luis Potosi, Mexico","institution_ids":["https://openalex.org/I147482076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075492933","display_name":"Isabelle Fantoni","orcid":"https://orcid.org/0000-0003-3472-3023"},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Isabelle Fantoni","raw_affiliation_strings":["Universit\u00e9 de Technologie de Compi\u00e8gne-CNRS, Compi\u00e8gne, France","Univ. de Technol. de Compiegne, Compiegne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Technologie de Compi\u00e8gne-CNRS, Compi\u00e8gne, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Univ. de Technol. de Compiegne, Compiegne, France","institution_ids":["https://openalex.org/I102516824"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5087,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.89977069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"59","issue":"2","first_page":"471","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9930999875068665,"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/T12158","display_name":"Guidance and Control Systems","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.9323008060455322},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.734810471534729},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6076701879501343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5261936783790588},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.42337051033973694},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41162237524986267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3903462588787079},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3807353377342224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34066319465637207},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33715346455574036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21222758293151855},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14986121654510498},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14164847135543823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11796873807907104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07364988327026367}],"concepts":[{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.9323008060455322},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.734810471534729},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6076701879501343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5261936783790588},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.42337051033973694},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41162237524986267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3903462588787079},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3807353377342224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34066319465637207},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33715346455574036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21222758293151855},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14986121654510498},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14164847135543823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11796873807907104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07364988327026367},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2013.2272886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2272886","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00935675v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00935675","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":"IEEE Transactions on Automatic Control, 2014, 59 (2), pp.471-477. ⟨10.1109/TAC.2013.2272886⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00935675v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00935675","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":"IEEE Transactions on Automatic Control, 2014, 59 (2), pp.471-477. ⟨10.1109/TAC.2013.2272886⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W374079423","https://openalex.org/W582868771","https://openalex.org/W1988837728","https://openalex.org/W2009146225","https://openalex.org/W2011426455","https://openalex.org/W2062063134","https://openalex.org/W2062448723","https://openalex.org/W2080688746","https://openalex.org/W2154608673","https://openalex.org/W2171271733","https://openalex.org/W2562706957","https://openalex.org/W4210939600","https://openalex.org/W4293738473"],"related_works":["https://openalex.org/W1999392235","https://openalex.org/W2059493168","https://openalex.org/W2083654828","https://openalex.org/W4289550795","https://openalex.org/W4253615296","https://openalex.org/W4321011964","https://openalex.org/W1979972655","https://openalex.org/W3163028448","https://openalex.org/W2576526015","https://openalex.org/W2028580818"],"abstract_inverted_index":{"In":[0,26],"this":[1],"work,":[2],"a":[3,48],"notion":[4,36],"of":[5,37,43],"local":[6,24,38],"homogeneity":[7,80],"is":[8,31,59],"formally":[9],"defined.":[10],"Important":[11],"results":[12,65],"involving":[13],"homogeneous":[14],"functions":[15],"or":[16,77],"vector":[17],"fields":[18],"are":[19],"reformulated":[20],"in":[21],"the":[22,34,44],"consequent":[23],"context.":[25],"particular,":[27],"global":[28,49],"finite-time":[29,50],"stability":[30],"characterized":[32],"through":[33],"proposed":[35],"homogeneity.":[39],"As":[40],"an":[41],"application":[42],"developed":[45,62],"analytical":[46,72],"setting,":[47],"stabilization":[51],"scheme":[52],"for":[53],"robot":[54],"manipulators":[55],"with":[56],"bounded":[57],"inputs":[58],"presented.":[60],"The":[61],"framework":[63],"and":[64,73],"prove":[66],"to":[67,70],"be":[68],"useful":[69],"relax":[71],"synthesis":[74],"constraints":[75],"imposed":[76],"generated":[78],"by":[79],"requirements.":[81]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}