{"id":"https://openalex.org/W4283385571","doi":"https://doi.org/10.1080/00207721.2022.2075486","title":"Adaptive control-based barrier Lyapunov functions for strict-feedback stochastic nonlinear systems with input saturation and dead zone","display_name":"Adaptive control-based barrier Lyapunov functions for strict-feedback stochastic nonlinear systems with input saturation and dead zone","publication_year":2022,"publication_date":"2022-06-17","ids":{"openalex":"https://openalex.org/W4283385571","doi":"https://doi.org/10.1080/00207721.2022.2075486"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2022.2075486","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2075486","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/A5100391135","display_name":"Qian Wang","orcid":"https://orcid.org/0000-0003-0488-3050"},"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":"Qian Wang","raw_affiliation_strings":["University of Science and Technology Liaoning","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":"University of Science and Technology Liaoning","institution_ids":["https://openalex.org/I114117164"]},{"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/A5006885717","display_name":"Chuang Gao","orcid":"https://orcid.org/0000-0003-3838-5076"},"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":true,"raw_author_name":"Chuang Gao","raw_affiliation_strings":["University of Science and Technology Liaoning","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":"University of Science and Technology Liaoning","institution_ids":["https://openalex.org/I114117164"]},{"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/A5032114414","display_name":"Yang Cui","orcid":"https://orcid.org/0000-0002-4099-4113"},"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":"Yang Cui","raw_affiliation_strings":["University of Science and Technology Liaoning","School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-4099-4113","affiliations":[{"raw_affiliation_string":"University of Science and Technology Liaoning","institution_ids":["https://openalex.org/I114117164"]},{"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":"last","author":{"id":null,"display_name":"Li-Bing Wu","orcid":"https://orcid.org/0000-0001-5112-1775"},"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":"Li-Bing Wu","raw_affiliation_strings":["University of Science and Technology Liaoning","School of Science, University of Science and Technology Liaoning, Anshan, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-5112-1775","affiliations":[{"raw_affiliation_string":"University of Science and Technology Liaoning","institution_ids":["https://openalex.org/I114117164"]},{"raw_affiliation_string":"School of Science, University of Science and Technology Liaoning, Anshan, People's Republic of China","institution_ids":["https://openalex.org/I114117164"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006885717"],"corresponding_institution_ids":["https://openalex.org/I114117164"],"apc_list":null,"apc_paid":null,"fwci":0.243,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.49801485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"53","issue":"15","first_page":"3165","last_page":"3176"},"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":0.9968000054359436,"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":0.9943000078201294,"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/control-theory","display_name":"Control theory (sociology)","score":0.8505094051361084},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.8394405841827393},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6711020469665527},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6464700102806091},{"id":"https://openalex.org/keywords/dead-zone","display_name":"Dead zone","score":0.6418161988258362},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4954179525375366},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48210906982421875},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.47675618529319763},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.46189084649086},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4261763095855713},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.41466251015663147},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.41434934735298157},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.41268110275268555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3998919725418091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39076346158981323},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16528508067131042},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06106996536254883}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8505094051361084},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8394405841827393},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6711020469665527},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6464700102806091},{"id":"https://openalex.org/C63840607","wikidata":"https://www.wikidata.org/wiki/Q1236263","display_name":"Dead zone","level":2,"score":0.6418161988258362},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4954179525375366},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48210906982421875},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.47675618529319763},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.46189084649086},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4261763095855713},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.41466251015663147},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.41434934735298157},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.41268110275268555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3998919725418091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39076346158981323},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16528508067131042},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06106996536254883},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/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/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2022.2075486","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2075486","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:53:y:2022:i:15:p:3165-3176","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2022.2075486","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","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1988286254","https://openalex.org/W2008612678","https://openalex.org/W2016492430","https://openalex.org/W2044726830","https://openalex.org/W2049778360","https://openalex.org/W2055722386","https://openalex.org/W2062373349","https://openalex.org/W2092956574","https://openalex.org/W2106783790","https://openalex.org/W2122995702","https://openalex.org/W2140133112","https://openalex.org/W2142129363","https://openalex.org/W2142572589","https://openalex.org/W2143935924","https://openalex.org/W2253274025","https://openalex.org/W2344237528","https://openalex.org/W2529405793","https://openalex.org/W2563423315","https://openalex.org/W2585391135","https://openalex.org/W2741239927","https://openalex.org/W2935763290","https://openalex.org/W3034335824","https://openalex.org/W3080091304","https://openalex.org/W3160435065","https://openalex.org/W3163981807","https://openalex.org/W3186074126","https://openalex.org/W4206422821","https://openalex.org/W4231397353","https://openalex.org/W4238971494","https://openalex.org/W4242682986"],"related_works":["https://openalex.org/W130658918","https://openalex.org/W2056939353","https://openalex.org/W2754649784","https://openalex.org/W2186624259","https://openalex.org/W1601979881","https://openalex.org/W2809444834","https://openalex.org/W4237316100","https://openalex.org/W2376449068","https://openalex.org/W4226024809","https://openalex.org/W2314968026"],"abstract_inverted_index":{"The":[0,124],"purpose":[1],"of":[2,45,52,79,121,126],"this":[3],"paper":[4],"is":[5,30,54,95,130],"to":[6,61,67,71,97,117],"design":[7,43],"an":[8,69],"adaptive":[9,93],"controller":[10,91],"for":[11,37],"uncertain":[12,63],"strict-feedback":[13],"stochastic":[14],"nonlinear":[15,64],"systems":[16],"with":[17,73,92],"dead":[18,49],"zone":[19],"and":[20,56,66],"input":[21],"saturation.":[22],"A":[23],"barrier":[24],"Lyapunov":[25],"function":[26],"in":[27,102],"asymmetric":[28],"forms":[29],"constructed":[31],"which":[32],"can":[33,115],"relax":[34],"the":[35,42,46,77,85,100,103,112,122,127],"requirements":[36],"initial":[38],"conditions.":[39],"To":[40],"simplify":[41],"process":[44],"controller,":[47],"a":[48,88,118,135],"zone-based":[50],"model":[51],"saturation":[53],"implemented":[55],"neural":[57],"networks":[58],"are":[59,106],"used":[60],"approximate":[62],"functions":[65],"construct":[68],"observer":[70],"cope":[72],"difficulties":[74],"raised":[75],"by":[76,132],"presence":[78],"immeasurable":[80],"state":[81],"variables.":[82],"By":[83],"applying":[84],"backstepping":[86],"technique,":[87],"smooth":[89],"tracking":[90,113],"law":[94],"proposed":[96,128],"ensure":[98],"all":[99],"signals":[101],"closed-loop":[104],"system":[105],"semi-globally":[107],"uniformly":[108],"ultimately":[109],"bounded.":[110],"Furthermore,":[111],"error":[114],"converge":[116],"small":[119],"neighbourhood":[120],"origin.":[123],"effectiveness":[125],"scheme":[129],"presented":[131],"simulations":[133],"on":[134],"numerical":[136],"example.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}
