{"id":"https://openalex.org/W2964196486","doi":"https://doi.org/10.1109/tcyb.2019.2926248","title":"Approximate Dynamic Programming for Nonlinear-Constrained Optimizations","display_name":"Approximate Dynamic Programming for Nonlinear-Constrained Optimizations","publication_year":2019,"publication_date":"2019-07-19","ids":{"openalex":"https://openalex.org/W2964196486","doi":"https://doi.org/10.1109/tcyb.2019.2926248","mag":"2964196486","pmid":"https://pubmed.ncbi.nlm.nih.gov/31329149"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2019.2926248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2926248","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/ele_facpubs/254","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085440585","display_name":"Xiong Yang","orcid":"https://orcid.org/0000-0002-0128-3036"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiong Yang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100411297","display_name":"Haibo He","orcid":"https://orcid.org/0000-0002-5247-9370"},"institutions":[{"id":"https://openalex.org/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haibo He","raw_affiliation_strings":["Department of Electrical, Computer and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010882980","display_name":"X. Zhong","orcid":"https://orcid.org/0000-0002-8367-0215"},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiangnan Zhong","raw_affiliation_strings":["Department of Electrical Engineering, University of North Texas, Denton, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of North Texas, Denton, TX, USA","institution_ids":["https://openalex.org/I123534392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":7.3733,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.97614687,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"51","issue":"5","first_page":"2419","last_page":"2432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9729999899864197,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7106749415397644},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6576895713806152},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6013871431350708},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6012001037597656},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5928944945335388},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5758346915245056},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5502502918243408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5443654656410217},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4666580855846405},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4288698434829712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3647402226924896}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7106749415397644},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6576895713806152},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6013871431350708},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6012001037597656},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5928944945335388},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5758346915245056},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5502502918243408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5443654656410217},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4666580855846405},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4288698434829712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3647402226924896},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcyb.2019.2926248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2926248","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:31329149","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31329149","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":"Journal Article"},{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-1253","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/254","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-1253","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/254","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4402374154","display_name":"NRI: Collaborative Research: Dynamic Robot Guides for Emergency Evacuations","funder_award_id":"1526835","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4497756115","display_name":null,"funder_award_id":"61503379","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W404241533","https://openalex.org/W1513689897","https://openalex.org/W1566710167","https://openalex.org/W1573503290","https://openalex.org/W1601081659","https://openalex.org/W1968908471","https://openalex.org/W1977671496","https://openalex.org/W1983523797","https://openalex.org/W1999678919","https://openalex.org/W2005127705","https://openalex.org/W2010152647","https://openalex.org/W2019338681","https://openalex.org/W2024310229","https://openalex.org/W2027197837","https://openalex.org/W2035003264","https://openalex.org/W2041626001","https://openalex.org/W2081514674","https://openalex.org/W2085194340","https://openalex.org/W2086298643","https://openalex.org/W2097415784","https://openalex.org/W2137884924","https://openalex.org/W2291165559","https://openalex.org/W2314983263","https://openalex.org/W2338719424","https://openalex.org/W2405379562","https://openalex.org/W2460713275","https://openalex.org/W2473265833","https://openalex.org/W2477669843","https://openalex.org/W2487144912","https://openalex.org/W2501776475","https://openalex.org/W2522967535","https://openalex.org/W2523345745","https://openalex.org/W2529203006","https://openalex.org/W2543834468","https://openalex.org/W2549406431","https://openalex.org/W2550394442","https://openalex.org/W2551113280","https://openalex.org/W2559988195","https://openalex.org/W2570494446","https://openalex.org/W2579592432","https://openalex.org/W2585299106","https://openalex.org/W2595897327","https://openalex.org/W2603200058","https://openalex.org/W2603406422","https://openalex.org/W2759436226","https://openalex.org/W2767784613","https://openalex.org/W2772589676","https://openalex.org/W2792596411","https://openalex.org/W2804394998","https://openalex.org/W2805337276","https://openalex.org/W2892319421","https://openalex.org/W3121926921","https://openalex.org/W3147094188","https://openalex.org/W4211232706","https://openalex.org/W4229706427","https://openalex.org/W4285719527","https://openalex.org/W4301886962","https://openalex.org/W6634288218"],"related_works":["https://openalex.org/W4255265352","https://openalex.org/W4239477580","https://openalex.org/W2090698372","https://openalex.org/W4383890581","https://openalex.org/W2965004901","https://openalex.org/W2921905705","https://openalex.org/W2379312070","https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W4233178034"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,18,51,75,84,126,140],"study":[4],"the":[5,21,24,45,61,66,77,80,86,115,120,131,142,147],"constrained":[6,25,40,67],"optimization":[7,26],"problem":[8,27],"of":[9,12,23,35,39,47,79,134,149],"a":[10,53,150],"class":[11],"uncertain":[13],"nonlinear":[14,151],"interconnected":[15,152],"systems.":[16],"First,":[17],"prove":[19],"that":[20],"solution":[22],"can":[28],"be":[29],"obtained":[30],"through":[31,146],"solving":[32],"an":[33,72,90],"array":[34],"optimal":[36,100,110],"control":[37,101,144],"problems":[38],"auxiliary":[41,68],"subsystems.":[42,69],"Then,":[43],"under":[44],"framework":[46],"approximate":[48,99],"dynamic":[49],"programming,":[50],"present":[52],"simultaneous":[54],"policy":[55],"iteration":[56],"(SPI)":[57],"algorithm":[58,88],"to":[59,65,98,108,129],"solve":[60],"Hamilton-Jacobi-Bellman":[62],"equations":[63],"corresponding":[64],"By":[70,113],"building":[71],"equivalence":[73],"relationship,":[74],"demonstrate":[76],"convergence":[78],"SPI":[81,87],"algorithm.":[82],"Meanwhile,":[83],"implement":[85],"via":[89],"actor-critic":[91],"structure,":[92],"where":[93],"actor":[94,135],"networks":[95,105],"are":[96,106,127],"used":[97],"policies":[102],"and":[103,119,136],"critic":[104,137],"applied":[107],"estimate":[109],"value":[111],"functions.":[112],"using":[114],"least":[116],"squares":[117],"method":[118,145],"Monte":[121],"Carlo":[122],"integration":[123],"technique":[124],"together,":[125],"able":[128],"determine":[130],"weight":[132],"vectors":[133],"networks.":[138],"Finally,":[139],"validate":[141],"developed":[143],"simulation":[148],"plant.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
