{"id":"https://openalex.org/W4315489121","doi":"https://doi.org/10.1109/cdc51059.2022.9992700","title":"Constant costate iterations for finite-horizon optimal control with nonlinear dynamics","display_name":"Constant costate iterations for finite-horizon optimal control with nonlinear dynamics","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4315489121","doi":"https://doi.org/10.1109/cdc51059.2022.9992700"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9992700","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9992700","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.1109/CDC51059.2022.9992700","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083666273","display_name":"Lorenzo Tarantino","orcid":"https://orcid.org/0000-0002-1667-2827"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Tarantino","raw_affiliation_strings":["Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario Sassano","raw_affiliation_strings":["Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066623823","display_name":"Sergio Galeani","orcid":"https://orcid.org/0000-0003-3367-3933"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sergio Galeani","raw_affiliation_strings":["Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Astolfi","raw_affiliation_strings":["Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133","Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università Degli Studi di Roma \"Tor Vergata\",Dipartimento di Ingegneria Civile ed Ingegneria Informatica (DICII),Roma,Italy,00133","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3272,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57352442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"135","issue":null,"first_page":"3481","last_page":"3486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9998999834060669,"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":0.9998999834060669,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9955999851226807,"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/T12719","display_name":"Aerospace Engineering and Energy Systems","score":0.9884999990463257,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6736153364181519},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6728688478469849},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6593057513237},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5820519328117371},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5239484310150146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5163906216621399},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47491323947906494},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44394904375076294},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4364534020423889},{"id":"https://openalex.org/keywords/hinge","display_name":"Hinge","score":0.4112558662891388},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3676958978176117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35217761993408203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24745124578475952},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16360601782798767},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08450761437416077}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6736153364181519},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6728688478469849},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6593057513237},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5820519328117371},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5239484310150146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5163906216621399},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47491323947906494},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44394904375076294},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4364534020423889},{"id":"https://openalex.org/C44000306","wikidata":"https://www.wikidata.org/wiki/Q244330","display_name":"Hinge","level":2,"score":0.4112558662891388},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3676958978176117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35217761993408203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24745124578475952},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16360601782798767},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08450761437416077},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9992700","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9992700","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:zenodo.org:7989849","is_oa":true,"landing_page_url":"https://doi.org/10.1109/CDC51059.2022.9992700","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"CDC, IEEE 61st Conference on Decision and Control, Cancun, Mexico, 06-09 December 2022","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:7989849","is_oa":true,"landing_page_url":"https://doi.org/10.1109/CDC51059.2022.9992700","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"CDC, IEEE 61st Conference on Decision and Control, Cancun, Mexico, 06-09 December 2022","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1547930079","https://openalex.org/W1574514837","https://openalex.org/W2053049052","https://openalex.org/W2055504162","https://openalex.org/W2082141774","https://openalex.org/W2107345353","https://openalex.org/W2121523122","https://openalex.org/W2152058476","https://openalex.org/W2153425320","https://openalex.org/W2162218551","https://openalex.org/W2167856595","https://openalex.org/W2288231337","https://openalex.org/W2743472384","https://openalex.org/W2961703895","https://openalex.org/W4221162579","https://openalex.org/W6810136829"],"related_works":["https://openalex.org/W2373084372","https://openalex.org/W2764185008","https://openalex.org/W2002367660","https://openalex.org/W2161630834","https://openalex.org/W1989123995","https://openalex.org/W2372731056","https://openalex.org/W1996372346","https://openalex.org/W2062034149","https://openalex.org/W2060589455","https://openalex.org/W2001283893"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,24,32,70,77,91,96],"nonlinear":[3,26],"finite-horizon":[4],"optimal":[5,100],"control":[6],"problems":[7],"is":[8,84],"studied.":[9],"We":[10],"propose":[11],"a":[12,55,71,78,88,98],"solution":[13,53,69],"based":[14],"on":[15,21,29],"an":[16],"iterative":[17],"strategy":[18,49],"that":[19,42],"relies":[20],"the":[22,25,30,33,47,52,67,94,103],"linearization":[23],"dynamics":[27],"and":[28,60],"construction":[31],"corresponding":[34],"time-varying":[35,79,89],"Hamiltonian":[36],"dynamics.":[37],"Differently":[38],"from":[39],"existing":[40],"methods":[41],"hinge":[43],"upon":[44,51],"similar":[45],"tools,":[46],"proposed":[48],"hinges":[50],"to":[54],"linear":[56],"initial":[57],"value":[58,74],"problem":[59,75],"does":[61],"not":[62],"require":[63],"at":[64],"each":[65],"step":[66],"(numerical)":[68],"two-point":[72],"boundary":[73],"or":[76],"Riccati":[80],"equation.":[81],"The":[82],"result":[83],"achieved":[85],"by":[86],"exploiting":[87],"change":[90],"coordinates":[92],"with":[93],"objective":[95],"obtaining":[97],"constant":[99],"costate":[101],"in":[102],"transformed":[104],"coordinates.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}