{"id":"https://openalex.org/W1998869641","doi":"https://doi.org/10.1109/tnnls.2015.2412035","title":"Robust Adaptive Neural Tracking Control for a Class of Stochastic Nonlinear Interconnected Systems","display_name":"Robust Adaptive Neural Tracking Control for a Class of Stochastic Nonlinear Interconnected Systems","publication_year":2015,"publication_date":"2015-03-24","ids":{"openalex":"https://openalex.org/W1998869641","doi":"https://doi.org/10.1109/tnnls.2015.2412035","mag":"1998869641","pmid":"https://pubmed.ncbi.nlm.nih.gov/25823043"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2412035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2412035","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5016803642","display_name":"Huanqing Wang","orcid":"https://orcid.org/0000-0001-5712-9356"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huanqing Wang","raw_affiliation_strings":["Department of Mathematics, Bohai University, Jinzhou, China","(Department of Mathematics, Bohai University, Jinzhou, China)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bohai University, Jinzhou, China","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"(Department of Mathematics, Bohai University, Jinzhou, China)","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397139","display_name":"Xiaoping Liu","orcid":"https://orcid.org/0000-0003-1808-4233"},"institutions":[{"id":"https://openalex.org/I72541430","display_name":"Lakehead University","ror":"https://ror.org/023p7mg82","country_code":"CA","type":"education","lineage":["https://openalex.org/I72541430"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xiaoping Liu","raw_affiliation_strings":["Faculty of Engineering, Lakehead University, Thunder Bay, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Lakehead University, Thunder Bay, ON, Canada","institution_ids":["https://openalex.org/I72541430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101807447","display_name":"Kefu Liu","orcid":"https://orcid.org/0000-0001-8950-5897"},"institutions":[{"id":"https://openalex.org/I72541430","display_name":"Lakehead University","ror":"https://ror.org/023p7mg82","country_code":"CA","type":"education","lineage":["https://openalex.org/I72541430"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kefu Liu","raw_affiliation_strings":["Faculty of Engineering, Lakehead University, Thunder Bay, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Lakehead University, Thunder Bay, ON, Canada","institution_ids":["https://openalex.org/I72541430"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016803642"],"corresponding_institution_ids":["https://openalex.org/I97009856"],"apc_list":null,"apc_paid":null,"fwci":37.363,"has_fulltext":false,"cited_by_count":230,"citation_normalized_percentile":{"value":0.99855756,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"27","issue":"3","first_page":"510","last_page":"523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9828000068664551,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/backstepping","display_name":"Backstepping","score":0.9308739900588989},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7734470367431641},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6768754720687866},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6405921578407288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5831862092018127},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5683751106262207},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.549877405166626},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.49913668632507324},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.48507753014564514},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.483534574508667},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4238331913948059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3183475136756897},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31069236993789673},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14908063411712646},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.0916353166103363}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9308739900588989},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7734470367431641},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6768754720687866},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6405921578407288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5831862092018127},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5683751106262207},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.549877405166626},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.49913668632507324},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.48507753014564514},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.483534574508667},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4238331913948059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3183475136756897},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31069236993789673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14908063411712646},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.0916353166103363},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2015.2412035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2412035","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:25823043","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25823043","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 neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4224028809","display_name":null,"funder_award_id":"61304003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6427964584","display_name":null,"funder_award_id":"61304002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7301333197","display_name":null,"funder_award_id":"61473160","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7583496911","display_name":null,"funder_award_id":"61333012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1572326640","https://openalex.org/W1967050435","https://openalex.org/W1968464152","https://openalex.org/W1975270290","https://openalex.org/W1984831821","https://openalex.org/W1992171281","https://openalex.org/W2005001458","https://openalex.org/W2014729448","https://openalex.org/W2015126358","https://openalex.org/W2025025159","https://openalex.org/W2035780363","https://openalex.org/W2040823282","https://openalex.org/W2043779031","https://openalex.org/W2062387772","https://openalex.org/W2065439008","https://openalex.org/W2069881731","https://openalex.org/W2072725124","https://openalex.org/W2084122929","https://openalex.org/W2086186132","https://openalex.org/W2087084782","https://openalex.org/W2090660688","https://openalex.org/W2095206064","https://openalex.org/W2099293245","https://openalex.org/W2102057409","https://openalex.org/W2106711397","https://openalex.org/W2110638818","https://openalex.org/W2111549913","https://openalex.org/W2115308069","https://openalex.org/W2131635860","https://openalex.org/W2132179668","https://openalex.org/W2133869087","https://openalex.org/W2134153574","https://openalex.org/W2139599535","https://openalex.org/W2139672536","https://openalex.org/W2140868220","https://openalex.org/W2144784132","https://openalex.org/W2145202608","https://openalex.org/W2150535417","https://openalex.org/W2153392494","https://openalex.org/W2158137022","https://openalex.org/W2161085358","https://openalex.org/W2162061008","https://openalex.org/W2162601317","https://openalex.org/W2164136313","https://openalex.org/W2165341314","https://openalex.org/W2166778519","https://openalex.org/W2167038379","https://openalex.org/W2171097767","https://openalex.org/W2171574462","https://openalex.org/W2265211848","https://openalex.org/W2269040888","https://openalex.org/W6684031743"],"related_works":["https://openalex.org/W1847613412","https://openalex.org/W2376449068","https://openalex.org/W4382203996","https://openalex.org/W4365392829","https://openalex.org/W2100998971","https://openalex.org/W2002811656","https://openalex.org/W2990087644","https://openalex.org/W2517897957","https://openalex.org/W2104457306","https://openalex.org/W1514732300"],"abstract_inverted_index":{"In":[0],"this":[1,93],"paper,":[2],"an":[3,46],"adaptive":[4,47],"neural":[5,29,48],"decentralized":[6,49],"control":[7,53],"approach":[8,99],"is":[9,42,95,100],"proposed":[10,52,98],"for":[11],"a":[12,83],"class":[13],"of":[14,60,73,92,102,122,125,137],"multiple":[15,18],"input":[16],"and":[17,39,76,115],"output":[19],"uncertain":[20],"stochastic":[21,105],"nonlinear":[22],"strong":[23,108],"interconnected":[24,109],"systems.":[25],"Radial":[26],"basis":[27],"function":[28],"networks":[30],"are":[31,65,119,131],"used":[32,132],"to":[33,44,82,133],"approximate":[34],"the":[35,61,71,77,87,97,104,113,120,126,135,138],"packaged":[36],"unknown":[37],"nonlinearities,":[38],"backstepping":[40],"technique":[41],"utilized":[43],"construct":[45],"controller.":[50],"The":[51,89],"scheme":[54],"can":[55],"guarantee":[56],"that":[57,96,118],"all":[58,123],"signals":[59],"resulting":[62],"closed-loop":[63],"system":[64],"semiglobally":[66],"uniformly":[67],"ultimately":[68],"bounded":[69],"in":[70,112],"sense":[72],"fourth":[74],"moment,":[75],"tracking":[78],"errors":[79],"eventually":[80],"converge":[81],"small":[84],"neighborhood":[85],"around":[86],"origin.":[88],"main":[90],"feature":[91],"paper":[94],"capable":[101],"controlling":[103],"systems":[106],"with":[107],"nonlinearities":[110],"both":[111],"drift":[114],"diffusion":[116],"terms":[117],"functions":[121],"states":[124],"overall":[127],"system.":[128],"Simulation":[129],"results":[130],"illustrate":[134],"effectiveness":[136],"suggested":[139],"approach.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":25},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":26},{"year":2018,"cited_by_count":41},{"year":2017,"cited_by_count":51},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
