{"id":"https://openalex.org/W3129538133","doi":"https://doi.org/10.1080/00207721.2021.1882614","title":"Command-filter-based adaptive neural tracking control for strict-feedback stochastic nonlinear systems with input dead-zone","display_name":"Command-filter-based adaptive neural tracking control for strict-feedback stochastic nonlinear systems with input dead-zone","publication_year":2021,"publication_date":"2021-02-11","ids":{"openalex":"https://openalex.org/W3129538133","doi":"https://doi.org/10.1080/00207721.2021.1882614","mag":"3129538133"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2021.1882614","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.1882614","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5067750303","display_name":"Ke Xu","orcid":"https://orcid.org/0000-0002-2191-0332"},"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":false,"raw_author_name":"Ke Xu","raw_affiliation_strings":["College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-2191-0332","affiliations":[{"raw_affiliation_string":"College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","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":["College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381999","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0003-3776-9799"},"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":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100423283","display_name":"Ming Chen","orcid":"https://orcid.org/0000-0002-7310-8421"},"institutions":[{"id":"https://openalex.org/I114117164","display_name":"University of Science and Technology Liaoning","ror":"https://ror.org/03grx7119","country_code":"CN","type":"education","lineage":["https://openalex.org/I114117164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Chen","raw_affiliation_strings":["School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, People's Republic of China","institution_ids":["https://openalex.org/I114117164"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055432844","display_name":"Junfei Qiao","orcid":"https://orcid.org/0000-0002-1707-6074"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junfei Qiao","raw_affiliation_strings":["Faculty of Information Technology, Beijing University of Technology, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Beijing University of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024053576","display_name":"Ben Niu","orcid":"https://orcid.org/0000-0001-5822-8743"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]},{"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":false,"raw_author_name":"Ben Niu","raw_affiliation_strings":["College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China","School of Information Science and Engineering, Shandong Normal University, Jinan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematical Sciences, Bohai University, Jinzhou, People's Republic of China","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, People's Republic of China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016803642"],"corresponding_institution_ids":["https://openalex.org/I97009856"],"apc_list":null,"apc_paid":null,"fwci":1.3534,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.79772085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"52","issue":"11","first_page":"2283","last_page":"2297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9941999912261963,"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/T10320","display_name":"Neural Networks and Applications","score":0.9505000114440918,"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/backstepping","display_name":"Backstepping","score":0.9199371933937073},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8222610354423523},{"id":"https://openalex.org/keywords/dead-zone","display_name":"Dead zone","score":0.617359459400177},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5985949635505676},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5670438408851624},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5653385519981384},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5633378624916077},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5613878965377808},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5093668699264526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49835872650146484},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4803010821342468},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.47486352920532227},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4695874750614166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33087074756622314},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18793505430221558},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12352818250656128}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9199371933937073},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8222610354423523},{"id":"https://openalex.org/C63840607","wikidata":"https://www.wikidata.org/wiki/Q1236263","display_name":"Dead zone","level":2,"score":0.617359459400177},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5985949635505676},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5670438408851624},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5653385519981384},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5633378624916077},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5613878965377808},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5093668699264526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49835872650146484},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4803010821342468},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.47486352920532227},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4695874750614166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33087074756622314},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18793505430221558},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12352818250656128},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2021.1882614","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.1882614","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2283-2297","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2021.1882614","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1544027390","https://openalex.org/W1594634450","https://openalex.org/W1983294924","https://openalex.org/W1986024064","https://openalex.org/W1993686618","https://openalex.org/W1998869641","https://openalex.org/W2005001458","https://openalex.org/W2005595169","https://openalex.org/W2014729448","https://openalex.org/W2050246747","https://openalex.org/W2051671655","https://openalex.org/W2079869463","https://openalex.org/W2086186132","https://openalex.org/W2101036899","https://openalex.org/W2106711397","https://openalex.org/W2111549913","https://openalex.org/W2122995702","https://openalex.org/W2137824246","https://openalex.org/W2145202608","https://openalex.org/W2153392494","https://openalex.org/W2155947439","https://openalex.org/W2175091750","https://openalex.org/W2410930004","https://openalex.org/W2589578140","https://openalex.org/W2592752239","https://openalex.org/W2602458259","https://openalex.org/W2750399449","https://openalex.org/W2765859861","https://openalex.org/W2885116294","https://openalex.org/W2900718115","https://openalex.org/W2903878718","https://openalex.org/W2905109357","https://openalex.org/W2905413452","https://openalex.org/W2909000270","https://openalex.org/W2912074886","https://openalex.org/W2912856706","https://openalex.org/W2913555814","https://openalex.org/W2925658806","https://openalex.org/W2939446330","https://openalex.org/W2941426197","https://openalex.org/W2945984369","https://openalex.org/W2946605158","https://openalex.org/W2946886450","https://openalex.org/W2962719293","https://openalex.org/W2963472932","https://openalex.org/W2964239500","https://openalex.org/W2966766277","https://openalex.org/W2981847292","https://openalex.org/W2987167661","https://openalex.org/W2995409103","https://openalex.org/W2995874545","https://openalex.org/W3003040443","https://openalex.org/W3008533857","https://openalex.org/W3011116059","https://openalex.org/W3013553450","https://openalex.org/W3027251624","https://openalex.org/W3033427195","https://openalex.org/W3100936423","https://openalex.org/W3151773492","https://openalex.org/W4206422821"],"related_works":["https://openalex.org/W2754649784","https://openalex.org/W2056939353","https://openalex.org/W130658918","https://openalex.org/W2186624259","https://openalex.org/W1601979881","https://openalex.org/W1847613412","https://openalex.org/W2376449068","https://openalex.org/W4226024809","https://openalex.org/W2972367213","https://openalex.org/W4382203996"],"abstract_inverted_index":{"The":[0,126],"problem":[1,73],"of":[2,12,46,49,66,74,159,177],"command-filter-based":[3],"adaptive":[4,111,120],"tracking":[5,165],"control":[6,64,128,142],"is":[7,32,69,124,181],"investigated":[8],"for":[9,102,139],"a":[10,89,100,103,169],"class":[11],"stochastic":[13,81],"nonlinear":[14,82],"systems":[15],"with":[16,19],"strict-feedback":[17],"structure":[18],"input":[20,75],"dead-zone":[21,76,94],"in":[22,54,79,156],"this":[23],"paper.":[24],"Radial":[25],"basis":[26],"function":[27],"neural":[28,121],"network":[29],"(RBF":[30],"NN)":[31],"employed":[33],"to":[34,42,135,168],"approximate":[35],"the":[36,44,55,63,67,72,80,93,131,136,140,147,157,160,164,175,178],"packaged":[37],"unknown":[38],"nonlinearities.":[39],"In":[40],"order":[41],"eliminate":[43],"influence":[45],"\u2018the":[47],"explosion":[48],"complexity\u2019":[50],"which":[51,77,84],"will":[52,85],"exist":[53],"conventional":[56],"controller":[57,123],"design":[58,113],"process":[59],"via":[60],"backstepping":[61,112],"technique,":[62],"method":[65],"command-filter":[68,122],"introduced.":[70],"For":[71],"appears":[78],"systems,":[83],"be":[86,97],"dealt":[87],"by":[88,183],"reasonable":[90],"method,":[91],"namely,":[92],"nonlinearity":[95],"can":[96],"regarded":[98],"as":[99],"combination":[101],"linear":[104],"term":[105],"and":[106,115,144],"bounded":[107,154],"disturbance-like":[108],"term.":[109],"Combined":[110],"algorithm":[114],"Lyapunov":[116],"stability":[117],"theorem,":[118],"an":[119],"developed.":[125],"proposed":[127],"scheme":[129],"reduces":[130],"calculation":[132],"burden":[133],"due":[134],"repeated":[137],"differentiation":[138],"virtual":[141],"laws":[143],"guarantees":[145],"all":[146],"closed-loop":[148],"signals":[149],"remain":[150],"semi-globally":[151],"uniformly":[152],"ultimately":[153],"(SGUUB)":[155],"sense":[158],"four":[161],"moment.":[162],"And":[163],"error":[166],"converges":[167],"small":[170],"area":[171],"near":[172],"zero.":[173],"Meanwhile,":[174],"effectiveness":[176],"presented":[179],"approach":[180],"proved":[182],"simulation":[184],"results.":[185]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}