{"id":"https://openalex.org/W1479792700","doi":"https://doi.org/10.23919/ecc.2003.7085290","title":"Inversion in indirect optimal control","display_name":"Inversion in indirect optimal control","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1479792700","doi":"https://doi.org/10.23919/ecc.2003.7085290","mag":"1479792700"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7085290","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://minesparis-psl.hal.science/hal-00501873","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035216608","display_name":"F. Chaplais","orcid":"https://orcid.org/0000-0002-0387-6492"},"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":true,"raw_author_name":"Francois Chaplais","raw_affiliation_strings":["Centre Automatique et Syst&#x00E8;mes, &#x00C9;cole Nationale Sup&#x00E9;rieure des Mines de Paris, 35, rue Saint-Honor&#x00E9; 77305 Fontainebleau Cedex, France"],"affiliations":[{"raw_affiliation_string":"Centre Automatique et Syst&#x00E8;mes, &#x00C9;cole Nationale Sup&#x00E9;rieure des Mines de Paris, 35, rue Saint-Honor&#x00E9; 77305 Fontainebleau Cedex, France","institution_ids":["https://openalex.org/I70768539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078781803","display_name":"Nicolas Petit","orcid":"https://orcid.org/0000-0003-3581-3856"},"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":"Nicolas Petit","raw_affiliation_strings":["Centre Automatique et Syst&#x00E8;mes, Ecole Nationale Sup&#x00E9;rieure des Mines de Paris, 60, bd. Saint-Michel, 75272 Paris Cedex 06, France"],"affiliations":[{"raw_affiliation_string":"Centre Automatique et Syst&#x00E8;mes, Ecole Nationale Sup&#x00E9;rieure des Mines de Paris, 60, bd. Saint-Michel, 75272 Paris Cedex 06, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035216608"],"corresponding_institution_ids":["https://openalex.org/I70768539"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.53313246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2180","last_page":"2184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9962000250816345,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/inversion","display_name":"Inversion (geology)","score":0.7574633955955505},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5635144710540771},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5334643721580505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4438099265098572},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42189347743988037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42161858081817627},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3731516897678375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32212895154953003},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09747916460037231},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08010098338127136}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.7574633955955505},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5635144710540771},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5334643721580505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4438099265098572},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42189347743988037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42161858081817627},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3731516897678375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32212895154953003},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09747916460037231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08010098338127136},{"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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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":4,"locations":[{"id":"doi:10.23919/ecc.2003.7085290","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.5168","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.5168","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cas.ensmp.fr/~petit/papers/ecc03/ecc03.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.61.9198","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.9198","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cas.ensmp.fr/~chaplais/FTP/Preprints/InversionInOptCtrl.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00501873v1","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00501873","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"7th European Control Conference, Sep 2003, Cambridge, United Kingdom","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00501873v1","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00501873","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"7th European Control Conference, Sep 2003, Cambridge, United Kingdom","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1232825439","https://openalex.org/W1887006513","https://openalex.org/W1964373008","https://openalex.org/W1973474542","https://openalex.org/W2080132051","https://openalex.org/W2102935566","https://openalex.org/W2108674204","https://openalex.org/W2152495729","https://openalex.org/W2328551616","https://openalex.org/W2566565178","https://openalex.org/W2798737326"],"related_works":["https://openalex.org/W1980470275","https://openalex.org/W2086322839","https://openalex.org/W2344971351","https://openalex.org/W2363509351","https://openalex.org/W2377084220","https://openalex.org/W1990581988","https://openalex.org/W2384206310","https://openalex.org/W2354391290","https://openalex.org/W2112313195","https://openalex.org/W2378498423"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"explain":[4],"how":[5],"to":[6,27,34],"use":[7],"inversion":[8],"(as":[9],"defined":[10],"in":[11,60],"nonlinear":[12],"control":[13],"theory)":[14],"for":[15],"indirect":[16],"optimal":[17],"control.":[18],"Given":[19],"the":[20,36,45,49,56,61],"relative":[21],"degree":[22],"r,":[23],"it":[24],"is":[25,40,58],"possible":[26],"recover":[28],"r":[29],"adjoint":[30],"states":[31],"and":[32,42],"thus":[33],"simplify":[35],"problem.":[37],"Explicit":[38],"proof":[39],"given":[41],"relies":[43],"on":[44],"triangular":[46],"structure":[47],"of":[48],"underlying":[50],"normal":[51],"form.":[52],"An":[53],"example":[54],"from":[55],"literature":[57],"treated":[59],"last":[62],"section.":[63]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
