{"id":"https://openalex.org/W2049105993","doi":"https://doi.org/10.1007/s10957-012-0039-0","title":"A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems. Part 1: Theory","display_name":"A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems. Part 1: Theory","publication_year":2012,"publication_date":"2012-04-12","ids":{"openalex":"https://openalex.org/W2049105993","doi":"https://doi.org/10.1007/s10957-012-0039-0","mag":"2049105993"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-012-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5059142182","display_name":"Gregory Lantoine","orcid":"https://orcid.org/0000-0002-9528-0011"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gregory Lantoine","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, USA","School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, USA 30318#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, USA 30318#TAB#","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049959252","display_name":"Ryan P. Russell","orcid":"https://orcid.org/0000-0001-7672-0408"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ryan P. Russell","raw_affiliation_strings":["Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA","Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA 78712-0235#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA 78712-0235#TAB#","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049959252","https://openalex.org/A5059142182"],"corresponding_institution_ids":["https://openalex.org/I130701444","https://openalex.org/I86519309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.5479,"has_fulltext":false,"cited_by_count":105,"citation_normalized_percentile":{"value":0.94393639,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"154","issue":"2","first_page":"382","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9937000274658203,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9937000274658203,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9912999868392944,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9236000180244446,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7622181177139282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6467424035072327},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6385322213172913},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5958283543586731},{"id":"https://openalex.org/keywords/differential-dynamic-programming","display_name":"Differential dynamic programming","score":0.5269263982772827},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5227378010749817},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.49866700172424316},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4362047612667084}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7622181177139282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6467424035072327},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6385322213172913},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5958283543586731},{"id":"https://openalex.org/C92292787","wikidata":"https://www.wikidata.org/wiki/Q5275342","display_name":"Differential dynamic programming","level":3,"score":0.5269263982772827},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5227378010749817},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.49866700172424316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4362047612667084},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-012-0039-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-012-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:154:y:2012:i:2:d:10.1007_s10957-012-0039-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-012-0039-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W48531559","https://openalex.org/W141398690","https://openalex.org/W147998453","https://openalex.org/W180478659","https://openalex.org/W189195062","https://openalex.org/W225666654","https://openalex.org/W353591846","https://openalex.org/W404869172","https://openalex.org/W562107606","https://openalex.org/W563766246","https://openalex.org/W644681876","https://openalex.org/W658381347","https://openalex.org/W750603179","https://openalex.org/W799698499","https://openalex.org/W1502501036","https://openalex.org/W1531658325","https://openalex.org/W1566070776","https://openalex.org/W1573176827","https://openalex.org/W1615548405","https://openalex.org/W1622730090","https://openalex.org/W1669104078","https://openalex.org/W1859340812","https://openalex.org/W1966781202","https://openalex.org/W1973534077","https://openalex.org/W1979382551","https://openalex.org/W1979664023","https://openalex.org/W1980384412","https://openalex.org/W1982203621","https://openalex.org/W1983639748","https://openalex.org/W1990659369","https://openalex.org/W1991554046","https://openalex.org/W2001981441","https://openalex.org/W2011302318","https://openalex.org/W2012626277","https://openalex.org/W2015530812","https://openalex.org/W2016859302","https://openalex.org/W2017952090","https://openalex.org/W2019342377","https://openalex.org/W2022144657","https://openalex.org/W2022577279","https://openalex.org/W2022760140","https://openalex.org/W2025752438","https://openalex.org/W2027950506","https://openalex.org/W2040651725","https://openalex.org/W2047377127","https://openalex.org/W2057624533","https://openalex.org/W2060902294","https://openalex.org/W2062533874","https://openalex.org/W2067820110","https://openalex.org/W2069426496","https://openalex.org/W2075793174","https://openalex.org/W2075921260","https://openalex.org/W2077658674","https://openalex.org/W2079914542","https://openalex.org/W2085740870","https://openalex.org/W2085919628","https://openalex.org/W2088590012","https://openalex.org/W2089293205","https://openalex.org/W2089800530","https://openalex.org/W2092227545","https://openalex.org/W2104384102","https://openalex.org/W2105006668","https://openalex.org/W2108631580","https://openalex.org/W2109477404","https://openalex.org/W2117914019","https://openalex.org/W2123871098","https://openalex.org/W2126147262","https://openalex.org/W2151570038","https://openalex.org/W2153917213","https://openalex.org/W2154393604","https://openalex.org/W2158370675","https://openalex.org/W2159796030","https://openalex.org/W2209480589","https://openalex.org/W2286191217","https://openalex.org/W2341171179","https://openalex.org/W2493544825","https://openalex.org/W2502655619","https://openalex.org/W2619389816","https://openalex.org/W2744013261","https://openalex.org/W2798737326","https://openalex.org/W2798766386","https://openalex.org/W3012080241","https://openalex.org/W3146406061","https://openalex.org/W3173138228","https://openalex.org/W4236316114","https://openalex.org/W4248797359","https://openalex.org/W4252450337","https://openalex.org/W4252894371","https://openalex.org/W4255667420","https://openalex.org/W4285719527","https://openalex.org/W4298300677"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W4281717838","https://openalex.org/W2379312070","https://openalex.org/W4315488747","https://openalex.org/W2136173754","https://openalex.org/W2212478920","https://openalex.org/W2032860538","https://openalex.org/W2001283893","https://openalex.org/W2007971149"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-28T08:01:55.173337","created_date":"2025-10-10T00:00:00"}