{"id":"https://openalex.org/W2065368319","doi":"https://doi.org/10.1016/0005-1098(87)90009-4","title":"Optimal feedback control of non-linear systems","display_name":"Optimal feedback control of non-linear systems","publication_year":1987,"publication_date":"1987-05-01","ids":{"openalex":"https://openalex.org/W2065368319","doi":"https://doi.org/10.1016/0005-1098(87)90009-4","mag":"2065368319"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(87)90009-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(87)90009-4","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5043575484","display_name":"Houria Bourdache\u2010Siguerdidjane","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Houria Bourdache-Siguerdidjane","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e8mes, CNRS/ESE, Plateau du Moulon, 91190 Gif-sur-Yvette, France","E3S - Sup\u00e9lec Sciences des Syst\u00e8mes (Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX - France)","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes, CNRS/ESE, Plateau du Moulon, 91190 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"E3S - Sup\u00e9lec Sciences des Syst\u00e8mes (Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104520788","display_name":"Michel Flies\u015b","orcid":"https://orcid.org/0000-0003-3426-3637"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Fliess","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e8mes, CNRS/ESE, Plateau du Moulon, 91190 Gif-sur-Yvette, France","E3S - Sup\u00e9lec Sciences des Syst\u00e8mes (Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX - France)","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes, CNRS/ESE, Plateau du Moulon, 91190 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"E3S - Sup\u00e9lec Sciences des Syst\u00e8mes (Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":2.2783,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.8791135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"23","issue":"3","first_page":"365","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9811999797821045,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9811999797821045,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9743000268936157,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6600916981697083},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6243552565574646},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6191306114196777},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5945544838905334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5554149746894836},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5228691101074219},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4662654995918274},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.46569857001304626},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.44817978143692017},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.44209614396095276},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43992969393730164},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.42914363741874695},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.42746302485466003},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41610485315322876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3195432424545288},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.26170629262924194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14117050170898438},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1279645562171936},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10848060250282288},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0786830484867096}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6600916981697083},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6243552565574646},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6191306114196777},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5945544838905334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5554149746894836},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5228691101074219},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4662654995918274},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.46569857001304626},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.44817978143692017},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.44209614396095276},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43992969393730164},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.42914363741874695},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.42746302485466003},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41610485315322876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3195432424545288},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26170629262924194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14117050170898438},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1279645562171936},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10848060250282288},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0786830484867096},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0005-1098(87)90009-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(87)90009-4","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03885181v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-03885181","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":"Automatica, 1987, ⟨10.1016/0005-1098(87)90009-4⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W61925351","https://openalex.org/W1499219562","https://openalex.org/W1991759504","https://openalex.org/W2014575627","https://openalex.org/W2016924580","https://openalex.org/W2059585013","https://openalex.org/W2064411125","https://openalex.org/W2077730310","https://openalex.org/W2090451298","https://openalex.org/W2095590702","https://openalex.org/W2127407604","https://openalex.org/W2321052409","https://openalex.org/W2650383146","https://openalex.org/W2738315621","https://openalex.org/W2739454308","https://openalex.org/W3035578948","https://openalex.org/W3041779057","https://openalex.org/W3188953039","https://openalex.org/W4285719527","https://openalex.org/W4310911030","https://openalex.org/W6602528647","https://openalex.org/W6629712660","https://openalex.org/W6665268865","https://openalex.org/W6720994642","https://openalex.org/W6740054467","https://openalex.org/W6741584289","https://openalex.org/W6741774552","https://openalex.org/W6780383567","https://openalex.org/W6782007951","https://openalex.org/W6799235307"],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W2107169685","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W2115005925","https://openalex.org/W2101783086","https://openalex.org/W1998777431","https://openalex.org/W2037500647","https://openalex.org/W4220667045","https://openalex.org/W2619014647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}