{"id":"https://openalex.org/W1492826595","doi":"https://doi.org/10.1109/cdc.2002.1184630","title":"Nearly optimal HJB solution for constrained input systems using a neural network least-squares approach","display_name":"Nearly optimal HJB solution for constrained input systems using a neural network least-squares approach","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1492826595","doi":"https://doi.org/10.1109/cdc.2002.1184630","mag":"1492826595"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-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/A5009970921","display_name":"Murad Abu-Khalaf","orcid":"https://orcid.org/0000-0002-9959-2450"},"institutions":[{"id":"https://openalex.org/I4210116723","display_name":"Robotics Research (United States)","ror":"https://ror.org/020w2fr77","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116723"]},{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Abu-Khalaf","raw_affiliation_strings":["Automation and Robotics Research Institute, University of Technology, Fort Worth, TX, USA","Autom. & Robotics Res. Inst., Texas Univ., Arlington, TX, USA"],"affiliations":[{"raw_affiliation_string":"Automation and Robotics Research Institute, University of Technology, Fort Worth, TX, USA","institution_ids":["https://openalex.org/I4210116723"]},{"raw_affiliation_string":"Autom. & Robotics Res. Inst., Texas Univ., Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016137188","display_name":"Frank L. Lewis","orcid":"https://orcid.org/0000-0003-4074-1615"},"institutions":[{"id":"https://openalex.org/I4210116723","display_name":"Robotics Research (United States)","ror":"https://ror.org/020w2fr77","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116723"]},{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F.L. Lewis","raw_affiliation_strings":["Automation and Robotics Research Institute, University of Technology, Fort Worth, TX, USA","Autom. & Robotics Res. Inst., Texas Univ., Arlington, TX, USA"],"affiliations":[{"raw_affiliation_string":"Automation and Robotics Research Institute, University of Technology, Fort Worth, TX, USA","institution_ids":["https://openalex.org/I4210116723"]},{"raw_affiliation_string":"Autom. & Robotics Res. Inst., Texas Univ., Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009970921"],"corresponding_institution_ids":["https://openalex.org/I189196454","https://openalex.org/I4210116723"],"apc_list":null,"apc_paid":null,"fwci":1.0635,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.74501009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":null,"first_page":"943","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9983999729156494,"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/T11236","display_name":"Control Systems and Identification","score":0.9914000034332275,"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/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.8431397080421448},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6277685165405273},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5965842008590698},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4282885193824768},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38975590467453003},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24549055099487305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2232113480567932},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14073172211647034}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.8431397080421448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6277685165405273},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5965842008590698},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4282885193824768},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38975590467453003},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24549055099487305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2232113480567932},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14073172211647034},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1492186721","https://openalex.org/W1576452626","https://openalex.org/W1806564464","https://openalex.org/W1941445455","https://openalex.org/W1980801308","https://openalex.org/W2037025184","https://openalex.org/W2047090868","https://openalex.org/W2071412131","https://openalex.org/W2083283377","https://openalex.org/W2105997617","https://openalex.org/W2152892376","https://openalex.org/W2170651837","https://openalex.org/W2471350965","https://openalex.org/W2798534591","https://openalex.org/W6638568429","https://openalex.org/W6645468040","https://openalex.org/W6682768498"],"related_works":["https://openalex.org/W2386387936","https://openalex.org/W2052286527","https://openalex.org/W2172170808","https://openalex.org/W2149174258","https://openalex.org/W3147297765","https://openalex.org/W2125112475","https://openalex.org/W4312800110","https://openalex.org/W2004138545","https://openalex.org/W2394139458","https://openalex.org/W1958027982"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,26,39,54,86,93,119,127,130,136,144,153,157,160,167],"use":[3,64],"of":[4,25,61,65,123,129,147,159],"nonlinear":[5,162],"networks":[6],"towards":[7],"obtaining":[8],"nearly":[9],"optimal":[10],"solutions":[11],"to":[12,73,84,117,156],"constrained":[13],"control":[14,98,112],"problems.":[15,35],"The":[16,49,111],"method":[17,51],"is":[18,82,90,95,115,132,138,150],"based":[19,99],"on":[20,57,100,140],"least-squares":[21],"successive":[22],"approximation":[23,37],"solution":[24,158],"generalized":[27],"HJB":[28,163],"(Hamilton-Jacobi-Bellman)":[29],"equation":[30,56,164],"which":[31],"appears":[32],"in":[33,143],"optimization":[34],"Successive":[36],"using":[38],"GHJB":[40,55,87],"has":[41,105],"not":[42],"yet":[43],"been":[44,106],"applied":[45],"for":[46],"bounded":[47,77,168],"controls.":[48,78],"proposed":[50],"successively":[52],"solves":[53],"a":[58,66,96,101,108],"well-defined":[59,145],"region":[60,122,146],"attraction":[62],"making":[63],"suitable":[67],"nonquadratic":[68],"functional":[69],"that":[70,92,104,152],"allows":[71],"us":[72],"work":[74],"with":[75,166],"smooth":[76],"A":[79],"neural":[80,102],"network":[81,131,154],"used":[83],"approximate":[85],"solution.":[88],"It":[89],"shown":[91,116,151],"result":[94],"closed-loop":[97],"net":[103],"tuned":[107],"priori":[109],"off-line.":[110],"law":[113],"structure":[114],"have":[118],"largest":[120],"possible":[121],"asymptotic":[124],"stability.":[125],"As":[126],"order":[128],"increased,":[133],"and":[134],"as":[135],"algorithm":[137],"run":[139],"more":[141],"points":[142],"attraction,":[148],"it":[149],"converges":[155],"inherently":[161],"associated":[165],"control.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}