{"id":"https://openalex.org/W2073591687","doi":"https://doi.org/10.1109/tac.2015.2414811","title":"Global Adaptive Dynamic Programming for Continuous-Time Nonlinear Systems","display_name":"Global Adaptive Dynamic Programming for Continuous-Time Nonlinear Systems","publication_year":2015,"publication_date":"2015-03-19","ids":{"openalex":"https://openalex.org/W2073591687","doi":"https://doi.org/10.1109/tac.2015.2414811","mag":"2073591687"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2414811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2414811","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.0020","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yu Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I887054487","display_name":"MathWorks (United States)","ror":"https://ror.org/01n8qtk87","country_code":"US","type":"company","lineage":["https://openalex.org/I887054487"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Jiang","raw_affiliation_strings":["The MathWorks, Natick, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The MathWorks, Natick, MA, USA","institution_ids":["https://openalex.org/I887054487"]}]},{"author_position":"last","author":{"id":null,"display_name":"Zhong-Ping Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhong-Ping Jiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Polytechnic School of Engineering, New York University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic School of Engineering, New York University, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":22.9394,"has_fulltext":false,"cited_by_count":236,"citation_normalized_percentile":{"value":0.99676375,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"60","issue":"11","first_page":"2917","last_page":"2929"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9968000054359436,"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":0.9968000054359436,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.0005000000237487257,"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6730999946594238},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6593000292778015},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6244999766349792},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5110999941825867},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.46860000491142273},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4677000045776367},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4480000138282776},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4092000126838684}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6730999946594238},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6593000292778015},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5540000200271606},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5110999941825867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4966999888420105},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.46860000491142273},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4677000045776367},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4480000138282776},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4092000126838684},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.3937000036239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3781999945640564},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3321000039577484},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.2874999940395355},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2015.2414811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2414811","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1401.0020","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.0020","pdf_url":"https://arxiv.org/pdf/1401.0020","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.0020","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.0020","pdf_url":"https://arxiv.org/pdf/1401.0020","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2162513236","display_name":null,"funder_award_id":"ECCS-1230040","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4736517984","display_name":null,"funder_award_id":"ECCS-1101401","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W648594167","https://openalex.org/W1548148540","https://openalex.org/W1554698619","https://openalex.org/W1745373831","https://openalex.org/W1854776945","https://openalex.org/W1965735858","https://openalex.org/W1966479890","https://openalex.org/W1967964192","https://openalex.org/W1972809999","https://openalex.org/W1972945640","https://openalex.org/W1978512567","https://openalex.org/W1993398341","https://openalex.org/W1998361253","https://openalex.org/W2001033871","https://openalex.org/W2005127705","https://openalex.org/W2033069768","https://openalex.org/W2034394412","https://openalex.org/W2040766536","https://openalex.org/W2047090868","https://openalex.org/W2050838777","https://openalex.org/W2065529863","https://openalex.org/W2073990179","https://openalex.org/W2081514674","https://openalex.org/W2083283377","https://openalex.org/W2110040537","https://openalex.org/W2113442785","https://openalex.org/W2123332660","https://openalex.org/W2125828104","https://openalex.org/W2128543792","https://openalex.org/W2137983211","https://openalex.org/W2148439597","https://openalex.org/W2165726932","https://openalex.org/W2167322332","https://openalex.org/W2168879443","https://openalex.org/W2169932488","https://openalex.org/W2476606743","https://openalex.org/W2484646121","https://openalex.org/W2487144912","https://openalex.org/W2536620281","https://openalex.org/W2545612814","https://openalex.org/W2912522929","https://openalex.org/W4247446124","https://openalex.org/W4248919892","https://openalex.org/W6630424042","https://openalex.org/W6684061903","https://openalex.org/W6757206914"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,42,85,98],"novel":[4],"method":[5,49,108],"of":[6,17,24,28,72,88,96,101,134],"global":[7],"adaptive":[8,14],"dynamic":[9],"programming":[10],"(ADP)":[11],"for":[12,84],"the":[13,26,30,59,77,94,97,102,113,120,132,135],"optimal":[15],"control":[16,79],"nonlinear":[18,54,89],"polynomial":[19,90],"systems.":[20,91],"The":[21,47],"strategy":[22],"consists":[23],"relaxing":[25],"problem":[27],"solving":[29],"Hamilton-Jacobi-Bellman":[31],"(HJB)":[32],"equation":[33],"to":[34,67,111,130],"an":[35,105],"optimization":[36],"problem,":[37],"which":[38],"is":[39,63,81,109],"solved":[40],"via":[41],"new":[43],"policy":[44,80,115],"iteration":[45,116],"method.":[46,137],"proposed":[48,114,136],"distinguishes":[50],"from":[51],"previously":[52],"known":[53],"ADP":[55,122],"methods":[56],"in":[57,93],"that":[58],"neural":[60],"network":[61],"approximation":[62],"avoided,":[64],"giving":[65],"rise":[66],"significant":[68],"computational":[69],"improvement.":[70],"Instead":[71],"semiglobally":[73],"or":[74],"locally":[75],"stabilizing,":[76],"resultant":[78],"globally":[82],"stabilizing":[83],"general":[86],"class":[87],"Furthermore,":[92],"absence":[95],"priori":[99],"knowledge":[100],"system":[103],"dynamics,":[104],"online":[106],"learning":[107],"devised":[110],"implement":[112],"technique":[117],"by":[118],"generalizing":[119],"current":[121],"theory.":[123],"Finally,":[124],"three":[125],"numerical":[126],"examples":[127],"are":[128],"provided":[129],"validate":[131],"effectiveness":[133]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":25},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":30},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}