{"id":"https://openalex.org/W2523951977","doi":"https://doi.org/10.1109/cdc.2016.7798740","title":"On finite-time stabilization of evolution equations: A homogeneous approach","display_name":"On finite-time stabilization of evolution equations: A homogeneous approach","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2523951977","doi":"https://doi.org/10.1109/cdc.2016.7798740","mag":"2523951977"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798740","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798740","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.12210/24782","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080470963","display_name":"Andrey Polyakov","orcid":"https://orcid.org/0000-0002-5876-3495"},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andrey Polyakov","raw_affiliation_strings":["Inria, Lille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Lille, France","institution_ids":["https://openalex.org/I4210138412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083872718","display_name":"Jean\u2010Michel Coron","orcid":"https://orcid.org/0000-0002-2457-8873"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Michel Coron","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015767026","display_name":"Lionel Rosier","orcid":"https://orcid.org/0000-0002-5602-9799"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lionel Rosier","raw_affiliation_strings":["Automatique et Systemes, Ecole des Mines de Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatique et Systemes, Ecole des Mines de Paris, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1573,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.92066514,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3143","last_page":"3148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7712104320526123},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7454075813293457},{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.6729280948638916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6332541108131409},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6323597431182861},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6295332908630371},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6197315454483032},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5547713041305542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47039470076560974},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44760367274284363},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.43637341260910034},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4235241711139679},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10965189337730408},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.060075610876083374}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7712104320526123},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7454075813293457},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.6729280948638916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6332541108131409},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6323597431182861},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6295332908630371},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6197315454483032},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5547713041305542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47039470076560974},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44760367274284363},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.43637341260910034},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4235241711139679},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10965189337730408},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.060075610876083374},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2016.7798740","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798740","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01371089v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01371089","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/24782","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/24782","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/24782","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/24782","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6997608508","display_name":"Finite Time Control and Estimation for System of Systems","funder_award_id":"ANR-15-CE23-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W264052196","https://openalex.org/W633013857","https://openalex.org/W1527177198","https://openalex.org/W1527296550","https://openalex.org/W1550969235","https://openalex.org/W1552510372","https://openalex.org/W1556831891","https://openalex.org/W1965299954","https://openalex.org/W1974111803","https://openalex.org/W1977113507","https://openalex.org/W1996764834","https://openalex.org/W2009834199","https://openalex.org/W2010348525","https://openalex.org/W2022757729","https://openalex.org/W2027969830","https://openalex.org/W2031727844","https://openalex.org/W2047340799","https://openalex.org/W2052883072","https://openalex.org/W2058731737","https://openalex.org/W2060446060","https://openalex.org/W2066011092","https://openalex.org/W2067614697","https://openalex.org/W2072613078","https://openalex.org/W2080688746","https://openalex.org/W2091198516","https://openalex.org/W2092778179","https://openalex.org/W2092991598","https://openalex.org/W2098806165","https://openalex.org/W2154369072","https://openalex.org/W2154608673","https://openalex.org/W2161206111","https://openalex.org/W2166972541","https://openalex.org/W2183928325","https://openalex.org/W2343614231","https://openalex.org/W2610818604","https://openalex.org/W2963470141","https://openalex.org/W2963867035","https://openalex.org/W3098500127","https://openalex.org/W3105701148","https://openalex.org/W4205431614","https://openalex.org/W4254127125","https://openalex.org/W6620482650","https://openalex.org/W6686782423"],"related_works":["https://openalex.org/W2144614701","https://openalex.org/W2074838282","https://openalex.org/W2286968803","https://openalex.org/W1976964087","https://openalex.org/W4234788860","https://openalex.org/W2362811170","https://openalex.org/W4381378370","https://openalex.org/W4292134160","https://openalex.org/W2354909503","https://openalex.org/W2608720873"],"abstract_inverted_index":{"Generalized":[0],"monotone":[1],"dilation":[2],"in":[3,36],"a":[4,29,37],"Banach":[5],"space":[6,39],"is":[7,40,48],"introduced.":[8],"Classical":[9],"theorems":[10],"on":[11],"existence":[12],"and":[13,56],"uniqueness":[14],"of":[15,17,32,54],"solutions":[16],"nonlinear":[18],"evolution":[19,34],"equations":[20],"are":[21],"revised.":[22],"A":[23],"universal":[24],"homogeneous":[25],"feedback":[26],"control":[27,53],"for":[28,50],"finite-time":[30,52],"stabilization":[31],"linear":[33],"equation":[35],"Hilbert":[38],"designed":[41],"using":[42],"homogeneity":[43],"concept.":[44],"The":[45],"design":[46],"scheme":[47],"demonstrated":[49],"distributed":[51],"heat":[55],"wave":[57],"equations.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}