{"id":"https://openalex.org/W2096391565","doi":"https://doi.org/10.1007/s10107-005-0619-y","title":"Relaxation of an optimal control problem involving a perturbed sweeping process","display_name":"Relaxation of an optimal control problem involving a perturbed sweeping process","publication_year":2005,"publication_date":"2005-07-14","ids":{"openalex":"https://openalex.org/W2096391565","doi":"https://doi.org/10.1007/s10107-005-0619-y","mag":"2096391565"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-005-0619-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0619-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5061515000","display_name":"Jean Fenel Edmond","orcid":null},"institutions":[{"id":"https://openalex.org/I52585520","display_name":"Universit\u00e9 des Antilles","ror":"https://ror.org/02ryfmr77","country_code":"GP","type":"education","lineage":["https://openalex.org/I52585520"]}],"countries":["GP"],"is_corresponding":false,"raw_author_name":"J.F. Edmond","raw_affiliation_strings":["D\u00e9partement Scientifique Interfacultaire, Campus de Schoelcher, Universit\u00e9 des Antilles et de la Guyane, B. P. 7209, 97275, Schoelcher cedex, Martinique, France","D\u00e9partement Scientifique Interfacultaire, Campus de Schoelcher, Universit\u00e9 des Antilles et de la Guyane, B. P. 7209, 97275, Schoelcher cedex, Martinique, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement Scientifique Interfacultaire, Campus de Schoelcher, Universit\u00e9 des Antilles et de la Guyane, B. P. 7209, 97275, Schoelcher cedex, Martinique, France","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement Scientifique Interfacultaire, Campus de Schoelcher, Universit\u00e9 des Antilles et de la Guyane, B. P. 7209, 97275, Schoelcher cedex, Martinique, France#TAB#","institution_ids":["https://openalex.org/I52585520"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065041515","display_name":"Lionel Thibault","orcid":"https://orcid.org/0000-0002-4172-1301"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Thibault","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Case Courrier 051, Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 5, France","D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, B. P. 7209, Case Courrier 051, Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 5, Martinique, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, Case Courrier 051, Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 5, France","institution_ids":["https://openalex.org/I19894307"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, B. P. 7209, Case Courrier 051, Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 5, Martinique, France#TAB#","institution_ids":["https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065041515"],"corresponding_institution_ids":["https://openalex.org/I19894307"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":4.793,"has_fulltext":false,"cited_by_count":146,"citation_normalized_percentile":{"value":0.9572758,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"104","issue":"2-3","first_page":"347","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8175095319747925},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7929950952529907},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.733136773109436},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6591982245445251},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6285450458526611},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48524904251098633},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46371889114379883},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.43650686740875244},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42836955189704895},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4262310862541199},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4215502142906189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12890473008155823}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8175095319747925},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7929950952529907},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.733136773109436},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6591982245445251},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6285450458526611},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48524904251098633},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46371889114379883},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43650686740875244},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42836955189704895},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4262310862541199},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4215502142906189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12890473008155823},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-005-0619-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0619-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W27423464","https://openalex.org/W565681979","https://openalex.org/W616247679","https://openalex.org/W1531856058","https://openalex.org/W1551360398","https://openalex.org/W1573659356","https://openalex.org/W1595744254","https://openalex.org/W1601960826","https://openalex.org/W1960239420","https://openalex.org/W1969707275","https://openalex.org/W1970735217","https://openalex.org/W2054090072","https://openalex.org/W2063311431","https://openalex.org/W2346172598","https://openalex.org/W2396132789","https://openalex.org/W2505829934","https://openalex.org/W2586765404","https://openalex.org/W3183315860","https://openalex.org/W4230169252"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2417585376","https://openalex.org/W1994157709","https://openalex.org/W4294336468","https://openalex.org/W2797811993"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
