{"id":"https://openalex.org/W2331243380","doi":"https://doi.org/10.1109/tac.2016.2550518","title":"Adaptive Dynamic Programming for Stochastic Systems With State and Control Dependent Noise","display_name":"Adaptive Dynamic Programming for Stochastic Systems With State and Control Dependent Noise","publication_year":2016,"publication_date":"2016-04-05","ids":{"openalex":"https://openalex.org/W2331243380","doi":"https://doi.org/10.1109/tac.2016.2550518","mag":"2331243380"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2550518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2550518","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":["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/A5028849529","display_name":"Tao Bian","orcid":"https://orcid.org/0000-0003-1661-2012"},"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":"Tao Bian","raw_affiliation_strings":["Control and Networks Lab, Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Networks Lab, Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043832320","display_name":"Yu Jiang","orcid":"https://orcid.org/0000-0001-8828-7832"},"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 Inc., Natick, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The MathWorks Inc., Natick, MA, USA","institution_ids":["https://openalex.org/I887054487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067046312","display_name":"Zhong\u2010Ping Jiang","orcid":"https://orcid.org/0000-0002-4868-9359"},"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":["Control and Networks Lab, Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University, Brooklyn, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Networks Lab, Department of Electrical and Computer Engineering, Tandon 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":5.2678,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.956983,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"12","first_page":"4170","last_page":"4175"},"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":0.9613999724388123,"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9429000020027161,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/multiplicative-noise","display_name":"Multiplicative noise","score":0.7191113233566284},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6920837759971619},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.632504940032959},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5975661277770996},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5896817445755005},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5821412801742554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5815231204032898},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5797459483146667},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5598821043968201},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.529330849647522},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5212774276733398},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43769627809524536},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.42693910002708435},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35182589292526245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27041923999786377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17063698172569275},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11796951293945312},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09562242031097412}],"concepts":[{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.7191113233566284},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6920837759971619},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.632504940032959},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5975661277770996},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5896817445755005},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5821412801742554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5815231204032898},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5797459483146667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5598821043968201},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.529330849647522},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5212774276733398},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43769627809524536},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.42693910002708435},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35182589292526245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27041923999786377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17063698172569275},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11796951293945312},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09562242031097412},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2016.2550518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2550518","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1335624659","display_name":null,"funder_award_id":"ECCS-1501044","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W560518094","https://openalex.org/W609447776","https://openalex.org/W1520459220","https://openalex.org/W1559261542","https://openalex.org/W1564089118","https://openalex.org/W1584101032","https://openalex.org/W1593496074","https://openalex.org/W1885639605","https://openalex.org/W1972243698","https://openalex.org/W1972809999","https://openalex.org/W1989220595","https://openalex.org/W1995502176","https://openalex.org/W1998361253","https://openalex.org/W2005127705","https://openalex.org/W2005902667","https://openalex.org/W2011772884","https://openalex.org/W2012174143","https://openalex.org/W2014729448","https://openalex.org/W2033150941","https://openalex.org/W2033951124","https://openalex.org/W2036826525","https://openalex.org/W2062630941","https://openalex.org/W2073591687","https://openalex.org/W2073990179","https://openalex.org/W2090167557","https://openalex.org/W2120225687","https://openalex.org/W2121863487","https://openalex.org/W2124783336","https://openalex.org/W2132858840","https://openalex.org/W2148439597","https://openalex.org/W2151966330","https://openalex.org/W2152161277","https://openalex.org/W2164643251","https://openalex.org/W2165726932","https://openalex.org/W2412128464","https://openalex.org/W2467518411","https://openalex.org/W2473265833","https://openalex.org/W2476930474","https://openalex.org/W2799664482","https://openalex.org/W3103456419","https://openalex.org/W3104471247","https://openalex.org/W4214717370","https://openalex.org/W4232008418","https://openalex.org/W4385246010"],"related_works":["https://openalex.org/W4287812451","https://openalex.org/W3022718941","https://openalex.org/W2150219835","https://openalex.org/W1996414039","https://openalex.org/W2506602630","https://openalex.org/W3097284316","https://openalex.org/W2785585695","https://openalex.org/W1632524629","https://openalex.org/W4306892756","https://openalex.org/W3023146282"],"abstract_inverted_index":{"In":[0],"this":[1],"technical":[2],"note,":[3],"the":[4,34,41,44,70],"adaptive":[5,50],"optimal":[6,25],"control":[7,26,35],"problem":[8],"is":[9,29,73],"investigated":[10],"for":[11],"a":[12],"class":[13],"of":[14,43,69],"continuous-time":[15],"stochastic":[16],"systems":[17],"subject":[18],"to":[19,31],"multiplicative":[20],"noise.":[21],"A":[22],"novel":[23],"non-model-based":[24],"design":[27],"methodology":[28],"employed":[30],"iteratively":[32],"update":[33],"policy":[36],"on-line":[37],"by":[38,75],"using":[39],"directly":[40],"data":[42],"system":[45],"state":[46],"and":[47,54,64],"input.":[48],"Both":[49],"dynamic":[51],"programming":[52],"(ADP)":[53],"robust":[55],"ADP":[56],"algorithms":[57],"are":[58],"developed,":[59],"along":[60],"with":[61],"rigorous":[62],"stability":[63],"convergence":[65],"analysis.":[66],"The":[67],"effectiveness":[68],"obtained":[71],"methods":[72],"illustrated":[74],"an":[76],"example":[77],"arising":[78],"from":[79],"biological":[80],"sensorimotor":[81],"control.":[82]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}