{"id":"https://openalex.org/W4211109292","doi":"https://doi.org/10.1109/tcsii.2022.3150351","title":"Neurodynamic Programming and Tracking Control for Nonlinear Stochastic Systems by PI Algorithm","display_name":"Neurodynamic Programming and Tracking Control for Nonlinear Stochastic Systems by PI Algorithm","publication_year":2022,"publication_date":"2022-02-10","ids":{"openalex":"https://openalex.org/W4211109292","doi":"https://doi.org/10.1109/tcsii.2022.3150351"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2022.3150351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3150351","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5010477724","display_name":"Zhongyang Ming","orcid":"https://orcid.org/0009-0001-1002-6840"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongyang Ming","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100625792","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-2375-9824"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries and the School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries and the School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756","https://openalex.org/I4391767858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067374275","display_name":"Weihua Li","orcid":"https://orcid.org/0000-0003-1425-9198"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Li","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064721860","display_name":"Yanhong Luo","orcid":"https://orcid.org/0000-0001-6898-7903"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Luo","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010477724"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":2.483,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90194673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"69","issue":"6","first_page":"2892","last_page":"2896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"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":1.0,"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":0.9348999857902527,"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/T14413","display_name":"Advanced Technologies in Various Fields","score":0.9115999937057495,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6261500716209412},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5417433977127075},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5350161194801331},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.5312367081642151},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5250135064125061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5107767581939697},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4870219826698303},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4495398998260498},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.44109079241752625},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4185660183429718},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.41270720958709717},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40861570835113525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37903648614883423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31279706954956055},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17873767018318176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14375093579292297}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6261500716209412},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5417433977127075},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5350161194801331},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.5312367081642151},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5250135064125061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5107767581939697},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4870219826698303},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4495398998260498},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.44109079241752625},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4185660183429718},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.41270720958709717},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40861570835113525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37903648614883423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31279706954956055},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17873767018318176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14375093579292297},{"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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2022.3150351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3150351","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2036897366","display_name":null,"funder_award_id":"61627809","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3696571035","display_name":null,"funder_award_id":"62173082","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G451589156","display_name":null,"funder_award_id":"2018YFA0702200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G837822842","display_name":null,"funder_award_id":"XLYC1801005","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1968908471","https://openalex.org/W1977458621","https://openalex.org/W1997603681","https://openalex.org/W2013895638","https://openalex.org/W2020047580","https://openalex.org/W2052305027","https://openalex.org/W2100276679","https://openalex.org/W2137092694","https://openalex.org/W2189990206","https://openalex.org/W2606397423","https://openalex.org/W2618682531","https://openalex.org/W2927018345","https://openalex.org/W2955358943","https://openalex.org/W3026790165","https://openalex.org/W3096135216","https://openalex.org/W3127275112","https://openalex.org/W3161510627","https://openalex.org/W3163501229","https://openalex.org/W3182680309","https://openalex.org/W3197488571"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W2379312070","https://openalex.org/W2136173754","https://openalex.org/W2110050003","https://openalex.org/W2953025626","https://openalex.org/W2499081552","https://openalex.org/W2366053282","https://openalex.org/W1653644965","https://openalex.org/W1934622834"],"abstract_inverted_index":{"In":[0],"this":[1,103],"paper,":[2],"for":[3,86],"nonlinear":[4,87],"stochastic":[5,37,90],"systems,":[6],"the":[7,22,42,47,64,70,84,93,99,108],"optimal":[8],"tracking":[9,71],"control":[10,30],"problem":[11,32],"(OTCP)":[12],"is":[13,25,54,73,98,110],"solved":[14],"by":[15,33,60],"adaptive":[16],"dynamic":[17],"programming":[18],"(ADP)":[19],"techniques.":[20],"Firstly,":[21],"complex":[23],"OTCP":[24,85],"transformed":[26],"into":[27],"a":[28,35],"stable":[29],"optimization":[31],"reconstructing":[34],"new":[36],"augmented":[38],"system.":[39],"Then,":[40],"simplifying":[41],"actor-critic":[43],"architecture":[44],"and":[45,115,120],"reducing":[46],"computational":[48],"load,":[49],"critic":[50],"neural":[51],"networks":[52],"(NNs)":[53],"used":[55],"in":[56,102,106],"iterative":[57],"learning.":[58],"And":[59],"using":[61],"Lyapunov":[62],"method,":[63],"ultimate":[65],"uniform":[66],"boundedness":[67],"(UUB)":[68],"of":[69],"system":[72],"proved.":[74],"To":[75],"be":[76],"precise,":[77],"no":[78],"literature":[79],"has":[80],"been":[81],"published":[82],"on":[83],"It\u00f4":[88],"type":[89],"systems":[91],"via":[92],"ADP":[94],"method.":[95],"This":[96],"work":[97],"first":[100],"attempt":[101],"field.":[104],"Finally,":[105],"simulation,":[107],"method":[109],"applied":[111],"to":[112],"sinusoidal":[113],"waveform":[114],"periodic":[116],"rectangular":[117],"step":[118],"signal,":[119],"even":[121],"unbounded":[122],"exponential":[123],"waveform.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
