{"id":"https://openalex.org/W2786600126","doi":"https://doi.org/10.1109/tac.2018.2797838","title":"On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space","display_name":"On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space","publication_year":2018,"publication_date":"2018-01-24","ids":{"openalex":"https://openalex.org/W2786600126","doi":"https://doi.org/10.1109/tac.2018.2797838","mag":"2786600126"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2797838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797838","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"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, Villenueve d\u2019Ascq, France"],"raw_orcid":"https://orcid.org/0000-0002-5876-3495","affiliations":[{"raw_affiliation_string":"Inria Lille, Villenueve d\u2019Ascq, 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":"https://orcid.org/0000-0002-2457-8873","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":["Centre Automatique et Systemes, Ecole des Mines de Paris, Paris, France"],"raw_orcid":"https://orcid.org/0000-0002-5602-9799","affiliations":[{"raw_affiliation_string":"Centre Automatique et Systemes, Ecole des Mines de Paris, 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":7.6683,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.97747077,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"63","issue":"9","first_page":"3143","last_page":"3150"},"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":0.9926999807357788,"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":0.989799976348877,"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/hilbert-space","display_name":"Hilbert space","score":0.6971409320831299},{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.6307411193847656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5989954471588135},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5223953723907471},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.502049446105957},{"id":"https://openalex.org/keywords/homogeneous-differential-equation","display_name":"Homogeneous differential equation","score":0.5016734600067139},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.489431768655777},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48340120911598206},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47185230255126953},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42737293243408203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4083424210548401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3684076964855194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3227711319923401},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.300475537776947},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.20231124758720398},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.18770655989646912}],"concepts":[{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6971409320831299},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.6307411193847656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5989954471588135},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5223953723907471},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.502049446105957},{"id":"https://openalex.org/C22219631","wikidata":"https://www.wikidata.org/wiki/Q2434565","display_name":"Homogeneous differential equation","level":5,"score":0.5016734600067139},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.489431768655777},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48340120911598206},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47185230255126953},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42737293243408203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4083424210548401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3684076964855194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3227711319923401},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.300475537776947},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.20231124758720398},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.18770655989646912},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2018.2797838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797838","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-01695475v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01695475","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":"http://ieeexplore.ieee.org/document/8268043/","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5299999713897705}],"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":34,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1498121547","https://openalex.org/W1527296550","https://openalex.org/W1550969235","https://openalex.org/W1552094772","https://openalex.org/W1556831891","https://openalex.org/W1974111803","https://openalex.org/W1981087443","https://openalex.org/W1996764834","https://openalex.org/W2004261230","https://openalex.org/W2010348525","https://openalex.org/W2014549603","https://openalex.org/W2027969830","https://openalex.org/W2052883072","https://openalex.org/W2058731737","https://openalex.org/W2060446060","https://openalex.org/W2066011092","https://openalex.org/W2080688746","https://openalex.org/W2091198516","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/W2338136106","https://openalex.org/W2343614231","https://openalex.org/W2499641798","https://openalex.org/W2523951977","https://openalex.org/W2610818604","https://openalex.org/W2963867035","https://openalex.org/W3098500127","https://openalex.org/W4205431614","https://openalex.org/W4254127125"],"related_works":["https://openalex.org/W1999392235","https://openalex.org/W2075537321","https://openalex.org/W2055668825","https://openalex.org/W1976398340","https://openalex.org/W2102593680","https://openalex.org/W2063531220","https://openalex.org/W1593295904","https://openalex.org/W1977618966","https://openalex.org/W2105646552","https://openalex.org/W3176773890"],"abstract_inverted_index":{"Based":[0],"on":[1,90],"the":[2,42,62,82,86,91],"notion":[3],"of":[4,10,41,53],"generalized":[5],"homogeneity,":[6],"a":[7,17,21,26,30,48],"new":[8],"algorithm":[9],"feedback":[11],"control":[12,36,64,87],"design":[13,65,77],"is":[14,56,79],"developed":[15,63],"for":[16,70,81],"plant":[18],"modeled":[19],"by":[20],"linear":[22],"evolution":[23,71],"equation":[24,84],"in":[25,47,58],"Hilbert":[27],"space":[28],"with":[29,73,85],"possibly":[31],"unbounded":[32],"operator.":[33],"The":[34,76],"designed":[35],"law":[37],"steers":[38],"any":[39],"solution":[40],"closed-loop":[43],"system":[44],"to":[45,60,67],"zero":[46],"finite":[49],"time.":[50],"A":[51],"method":[52],"homogeneous":[54],"extension":[55],"presented":[57],"order":[59],"make":[61],"principles":[66],"be":[68],"applicable":[69],"systems":[72],"nonhomogeneous":[74],"operators.":[75],"scheme":[78],"demonstrated":[80],"heat":[83],"input":[88],"distributed":[89],"segment":[92],"[0,1].":[93]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}