{"id":"https://openalex.org/W1968464152","doi":"https://doi.org/10.1109/tsmcb.2012.2196432","title":"Neural-Network-Based Decentralized Adaptive Output-Feedback Control for Large-Scale Stochastic Nonlinear Systems","display_name":"Neural-Network-Based Decentralized Adaptive Output-Feedback Control for Large-Scale Stochastic Nonlinear Systems","publication_year":2012,"publication_date":"2012-11-21","ids":{"openalex":"https://openalex.org/W1968464152","doi":"https://doi.org/10.1109/tsmcb.2012.2196432","mag":"1968464152","pmid":"https://pubmed.ncbi.nlm.nih.gov/22623432"},"language":"en","primary_location":{"id":"doi:10.1109/tsmcb.2012.2196432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcb.2012.2196432","pdf_url":null,"source":{"id":"https://openalex.org/S4210170378","display_name":"IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)","issn_l":"1083-4419","issn":["1083-4419","1941-0492"],"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 Systems, Man, and Cybernetics, Part B (Cybernetics)","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/A5100782873","display_name":"Qi Zhou","orcid":"https://orcid.org/0000-0001-7237-4659"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"id":"https://openalex.org/I63072094","display_name":"University of Portsmouth","ror":"https://ror.org/03ykbk197","country_code":"GB","type":"education","lineage":["https://openalex.org/I63072094"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Qi Zhou","raw_affiliation_strings":["Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK. zhouqi2009@gmail.com","Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK","School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK. zhouqi2009@gmail.com","institution_ids":["https://openalex.org/I63072094"]},{"raw_affiliation_string":"Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK","institution_ids":["https://openalex.org/I63072094"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108212147","display_name":"Peng Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]},{"id":"https://openalex.org/I128993996","display_name":"University of South Wales","ror":"https://ror.org/02mzn7s88","country_code":"GB","type":"education","lineage":["https://openalex.org/I128993996"]}],"countries":["AU","GB"],"is_corresponding":false,"raw_author_name":"Peng Shi","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, UK","School of Engineering and Science, Victoria University, Melbourne, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, UK","institution_ids":["https://openalex.org/I128993996"]},{"raw_affiliation_string":"School of Engineering and Science, Victoria University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I71270174"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085867312","display_name":"Honghai Liu","orcid":"https://orcid.org/0000-0002-2880-4698"},"institutions":[{"id":"https://openalex.org/I63072094","display_name":"University of Portsmouth","ror":"https://ror.org/03ykbk197","country_code":"GB","type":"education","lineage":["https://openalex.org/I63072094"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Honghai Liu","raw_affiliation_strings":["Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK"],"affiliations":[{"raw_affiliation_string":"Intelligent Systems and Biomedical Robotics Group, School of Creative Technologies, University of Portsmouth, Portsmouth, UK","institution_ids":["https://openalex.org/I63072094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111954480","display_name":"Shengyuan Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100782873"],"corresponding_institution_ids":["https://openalex.org/I36399199","https://openalex.org/I63072094"],"apc_list":null,"apc_paid":null,"fwci":65.3029,"has_fulltext":false,"cited_by_count":296,"citation_normalized_percentile":{"value":0.99942036,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"42","issue":"6","first_page":"1608","last_page":"1619"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9865000247955322,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9833999872207642,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.9300435781478882},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7805172801017761},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7407500147819519},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.659946620464325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5844113230705261},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5651845932006836},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5344784259796143},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5023126602172852},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.48186787962913513},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33287331461906433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2623974680900574},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.1580519676208496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1243295669555664}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9300435781478882},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7805172801017761},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7407500147819519},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.659946620464325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5844113230705261},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5651845932006836},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5344784259796143},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5023126602172852},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.48186787962913513},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33287331461906433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2623974680900574},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.1580519676208496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1243295669555664},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005246","descriptor_name":"Feedback","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1109/tsmcb.2012.2196432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcb.2012.2196432","pdf_url":null,"source":{"id":"https://openalex.org/S4210170378","display_name":"IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)","issn_l":"1083-4419","issn":["1083-4419","1941-0492"],"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 Systems, Man, and Cybernetics, Part B (Cybernetics)","raw_type":"journal-article"},{"id":"pmid:22623432","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22623432","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 systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society","raw_type":null},{"id":"pmh:oai:eprints.vu.edu.au:23147","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/23147/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"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":"PeerReviewed"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/77659","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/77659","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1109/tsmcb.2012.2196432","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G312102245","display_name":null,"funder_award_id":"EP/G041377/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W591596225","https://openalex.org/W1543255995","https://openalex.org/W1558035634","https://openalex.org/W1603022741","https://openalex.org/W1948081105","https://openalex.org/W1967050435","https://openalex.org/W1970068620","https://openalex.org/W1983163834","https://openalex.org/W2005001458","https://openalex.org/W2013167594","https://openalex.org/W2014729448","https://openalex.org/W2017230771","https://openalex.org/W2027653066","https://openalex.org/W2069881731","https://openalex.org/W2083280504","https://openalex.org/W2088303388","https://openalex.org/W2094015182","https://openalex.org/W2096219490","https://openalex.org/W2101879828","https://openalex.org/W2102057409","https://openalex.org/W2102844581","https://openalex.org/W2102934031","https://openalex.org/W2112801564","https://openalex.org/W2115308069","https://openalex.org/W2117925921","https://openalex.org/W2120320446","https://openalex.org/W2120912879","https://openalex.org/W2125568460","https://openalex.org/W2129649323","https://openalex.org/W2132300288","https://openalex.org/W2137111431","https://openalex.org/W2138611498","https://openalex.org/W2140710924","https://openalex.org/W2140868220","https://openalex.org/W2146237093","https://openalex.org/W2149768242","https://openalex.org/W2150061662","https://openalex.org/W2155947439","https://openalex.org/W2159045374","https://openalex.org/W2160917764","https://openalex.org/W2164394936","https://openalex.org/W2164894752","https://openalex.org/W2166778519","https://openalex.org/W2167947287","https://openalex.org/W2168074109","https://openalex.org/W2171574462","https://openalex.org/W2312834382","https://openalex.org/W2377585896","https://openalex.org/W2505400881","https://openalex.org/W6640658142"],"related_works":["https://openalex.org/W1847613412","https://openalex.org/W4387960131","https://openalex.org/W2972367213","https://openalex.org/W4382203996","https://openalex.org/W1514732300","https://openalex.org/W1991810297","https://openalex.org/W1819950161","https://openalex.org/W2425548367","https://openalex.org/W2032253950","https://openalex.org/W2101148463"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3],"the":[4,30,36,52,61,69,75,78,97,100],"problem":[5],"of":[6,15,32,60,99],"neural-network-based":[7],"decentralized":[8],"adaptive":[9,43],"output-feedback":[10],"control":[11,24,56,102],"for":[12],"a":[13,88],"class":[14],"nonlinear":[16,63],"strict-feedback":[17],"large-scale":[18],"stochastic":[19],"systems.":[20],"The":[21],"dynamic":[22],"surface":[23],"technique":[25],"is":[26,48,66],"used":[27],"to":[28,50,81,95],"avoid":[29],"explosion":[31],"computational":[33],"complexity":[34],"in":[35,77,87],"backstepping":[37],"design":[38,103],"process.":[39],"A":[40],"novel":[41],"direct":[42],"neural":[44],"network":[45],"approximation":[46],"method":[47],"proposed":[49],"approximate":[51],"unknown":[53,62],"and":[54],"desired":[55],"input":[57],"signals":[58,76],"instead":[59],"functions.":[64],"It":[65],"shown":[67],"that":[68],"designed":[70],"controller":[71],"can":[72],"guarantee":[73],"all":[74],"closed-loop":[79],"system":[80],"be":[82],"semiglobally":[83],"uniformly":[84],"ultimately":[85],"bounded":[86],"mean":[89],"square.":[90],"Simulation":[91],"results":[92],"are":[93],"provided":[94],"demonstrate":[96],"effectiveness":[98],"developed":[101],"approach.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":30},{"year":2018,"cited_by_count":25},{"year":2017,"cited_by_count":26},{"year":2016,"cited_by_count":31},{"year":2015,"cited_by_count":37},{"year":2014,"cited_by_count":53},{"year":2013,"cited_by_count":20},{"year":2012,"cited_by_count":5}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}