{"id":"https://openalex.org/W2512806972","doi":"https://doi.org/10.1080/00207179.2016.1228122","title":"Finite dimensional approximations for a class of infinite dimensional time optimal control problems","display_name":"Finite dimensional approximations for a class of infinite dimensional time optimal control problems","publication_year":2016,"publication_date":"2016-08-24","ids":{"openalex":"https://openalex.org/W2512806972","doi":"https://doi.org/10.1080/00207179.2016.1228122","mag":"2512806972"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2016.1228122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1228122","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5077663308","display_name":"Marius Tucsnak","orcid":"https://orcid.org/0000-0001-9410-1811"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marius Tucsnak","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 de Bordeaux , Bordeaux, Talence, France","Institut de Math\u00e9matiques de Bordeaux"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 de Bordeaux , Bordeaux, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bordeaux","institution_ids":["https://openalex.org/I4210166017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055249088","display_name":"Julie Valein","orcid":"https://orcid.org/0000-0002-3640-7705"},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Julie Valein","raw_affiliation_strings":["Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine , Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","Institut \u00c9lie Cartan de Lorraine","Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine , Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization","institution_ids":["https://openalex.org/I4210119692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066832031","display_name":"Chi-Ting Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Chi-Ting Wu","raw_affiliation_strings":["Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine , Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization","Institut \u00c9lie Cartan de Lorraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine , Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization","institution_ids":["https://openalex.org/I4210119692"]},{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055249088"],"corresponding_institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I4210119692","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.8101,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75350096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"92","issue":"1","first_page":"132","last_page":"144"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/optimal-control","display_name":"Optimal control","score":0.79488205909729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7409565448760986},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5978153944015503},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5843779444694519},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5441644191741943},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4901009500026703},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4893633723258972},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40008217096328735},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3686034679412842},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3226975202560425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30456721782684326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18650346994400024}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.79488205909729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7409565448760986},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5978153944015503},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5843779444694519},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5441644191741943},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4901009500026703},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4893633723258972},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40008217096328735},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3686034679412842},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3226975202560425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30456721782684326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18650346994400024},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207179.2016.1228122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1228122","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01393258v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01393258","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":"International Journal of Control, 2019, 92 (1), pp.132-144. &#x27E8;10.1080/00207179.2016.1228122&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/113623","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/113623","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/193930","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/193930","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W30907860","https://openalex.org/W52531309","https://openalex.org/W203646022","https://openalex.org/W629793771","https://openalex.org/W1527296550","https://openalex.org/W1528796636","https://openalex.org/W1581563506","https://openalex.org/W1607530402","https://openalex.org/W1964804768","https://openalex.org/W1967355651","https://openalex.org/W1969739109","https://openalex.org/W1978535908","https://openalex.org/W1984507032","https://openalex.org/W1999734942","https://openalex.org/W2021510322","https://openalex.org/W2024135224","https://openalex.org/W2043909370","https://openalex.org/W2064972055","https://openalex.org/W2073078790","https://openalex.org/W2082621526","https://openalex.org/W2088693678","https://openalex.org/W2103284380","https://openalex.org/W2115532610","https://openalex.org/W2139492487","https://openalex.org/W2160520936","https://openalex.org/W2168556167","https://openalex.org/W2182274314","https://openalex.org/W2783629559","https://openalex.org/W4252937307","https://openalex.org/W4294974615","https://openalex.org/W4295287519"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2340031096","https://openalex.org/W2061128903","https://openalex.org/W1974683205","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W2324147138","https://openalex.org/W4200373202"],"abstract_inverted_index":{"In":[0,76],"this":[1],"work,":[2],"we":[3,83],"study":[4],"the":[5,9,32,40,46,50,54,64,69,73],"numerical":[6],"approximation":[7],"of":[8,11,14,43,53,72],"solutions":[10],"a":[12,35,85],"class":[13],"abstract":[15,91],"parabolic":[16,92],"time":[17,48,56,66],"optimal":[18,47,51,57,65,70],"control":[19,23],"problems":[20,58],"with":[21],"unbounded":[22],"operator.":[24],"Our":[25],"main":[26,81],"results":[27],"assert":[28],"that,":[29],"provided":[30],"that":[31],"target":[33],"is":[34],"closed":[36],"ball":[37],"centered":[38],"at":[39],"origin":[41],"and":[42,49,67],"positive":[44],"radius,":[45],"controls":[52,71],"approximate":[55],"converge":[59],"(in":[60],"appropriate":[61],"norms)":[62],"to":[63,68,78],"original":[74],"problem.":[75],"order":[77],"prove":[79],"our":[80],"theorem,":[82],"provide":[84],"nonsmooth":[86],"data":[87],"error":[88],"estimate":[89],"for":[90],"systems.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}
