{"id":"https://openalex.org/W2342765613","doi":"https://doi.org/10.1109/tnnls.2016.2551294","title":"Barrier Function-Based Neural Adaptive Control With Locally Weighted Learning and Finite Neuron Self-Growing Strategy","display_name":"Barrier Function-Based Neural Adaptive Control With Locally Weighted Learning and Finite Neuron Self-Growing Strategy","publication_year":2016,"publication_date":"2016-04-25","ids":{"openalex":"https://openalex.org/W2342765613","doi":"https://doi.org/10.1109/tnnls.2016.2551294","mag":"2342765613","pmid":"https://pubmed.ncbi.nlm.nih.gov/28534753"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2016.2551294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2551294","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/A5103044283","display_name":"Zijun Jia","orcid":"https://orcid.org/0009-0005-7192-2592"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Jun Jia","raw_affiliation_strings":["Center for Intelligent System and Renewable Energy, School of Electrical and Information Engineering, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Intelligent System and Renewable Energy, School of Electrical and Information Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035337020","display_name":"Yongduan Song","orcid":"https://orcid.org/0000-0002-2167-1861"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]},{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong-Duan Song","raw_affiliation_strings":["Center for Intelligent System and Renewable Energy, School of Electrical and Information Engineering, Beijing Jiaotong University, Beijing, China","College of Automation, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Intelligent System and Renewable Energy, School of Electrical and Information Engineering, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"College of Automation, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7641,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.9526238,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"28","issue":"6","first_page":"1439","last_page":"1451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9962000250816345,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6566818952560425},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6329251527786255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6294363141059875},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.563984751701355},{"id":"https://openalex.org/keywords/salient","display_name":"Salient","score":0.5481470227241516},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5196329355239868},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5174546837806702},{"id":"https://openalex.org/keywords/almost-everywhere","display_name":"Almost everywhere","score":0.5114978551864624},{"id":"https://openalex.org/keywords/precondition","display_name":"Precondition","score":0.46887803077697754},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.45258766412734985},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4350535273551941},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4308876097202301},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.42424729466438293},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3599233329296112},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3240693211555481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2961922287940979},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1394578218460083}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6566818952560425},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6329251527786255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6294363141059875},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.563984751701355},{"id":"https://openalex.org/C2780719617","wikidata":"https://www.wikidata.org/wiki/Q1030752","display_name":"Salient","level":2,"score":0.5481470227241516},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5196329355239868},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5174546837806702},{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.5114978551864624},{"id":"https://openalex.org/C192465680","wikidata":"https://www.wikidata.org/wiki/Q1413450","display_name":"Precondition","level":2,"score":0.46887803077697754},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.45258766412734985},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4350535273551941},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4308876097202301},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.42424729466438293},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3599233329296112},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3240693211555481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2961922287940979},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1394578218460083},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2016.2551294","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2016.2551294","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:28534753","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28534753","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/G1405449572","display_name":"\u9ad8\u901f\u5217\u8f66\u4e3b\u52a8\u5b89\u5168\u63a7\u5236\u7684\u5173\u952e\u57fa\u7840\u7814\u7a76","funder_award_id":"61134001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1752343622","display_name":null,"funder_award_id":"2013YJS006","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1559107966","https://openalex.org/W1572326640","https://openalex.org/W1689445748","https://openalex.org/W1744920400","https://openalex.org/W1943974126","https://openalex.org/W1971423657","https://openalex.org/W1971804534","https://openalex.org/W1980842334","https://openalex.org/W1983330313","https://openalex.org/W1992410217","https://openalex.org/W1993740947","https://openalex.org/W1998433168","https://openalex.org/W2000439575","https://openalex.org/W2008612678","https://openalex.org/W2014543766","https://openalex.org/W2015913873","https://openalex.org/W2017902642","https://openalex.org/W2039683272","https://openalex.org/W2054184020","https://openalex.org/W2062373349","https://openalex.org/W2069660630","https://openalex.org/W2073280133","https://openalex.org/W2076597241","https://openalex.org/W2079286168","https://openalex.org/W2089841388","https://openalex.org/W2097488680","https://openalex.org/W2105675214","https://openalex.org/W2107806022","https://openalex.org/W2108733687","https://openalex.org/W2109151516","https://openalex.org/W2111443159","https://openalex.org/W2114847465","https://openalex.org/W2115932303","https://openalex.org/W2116773335","https://openalex.org/W2120141422","https://openalex.org/W2125955904","https://openalex.org/W2129572137","https://openalex.org/W2133135175","https://openalex.org/W2134383995","https://openalex.org/W2135688580","https://openalex.org/W2136574592","https://openalex.org/W2142572589","https://openalex.org/W2146930087","https://openalex.org/W2153389562","https://openalex.org/W2155941926","https://openalex.org/W2166235936","https://openalex.org/W2168964662","https://openalex.org/W2171331465","https://openalex.org/W2315198154","https://openalex.org/W6679682847"],"related_works":["https://openalex.org/W2294916142","https://openalex.org/W1581362285","https://openalex.org/W1988458526","https://openalex.org/W2953046944","https://openalex.org/W2185407019","https://openalex.org/W2368102490","https://openalex.org/W2367100904","https://openalex.org/W2060305346","https://openalex.org/W1986023896","https://openalex.org/W2774056788"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,25,67,100,119,187],"new":[4,112,193],"approach":[5],"to":[6,32,48,62,71,82,87,106,114,136],"construct":[7],"neural":[8,40],"adaptive":[9],"control":[10,27,43,139,173,179],"for":[11,54,97,110,123,186],"uncertain":[12],"nonaffine":[13],"systems.":[14],"By":[15],"integrating":[16],"locally":[17],"weighted":[18],"learning":[19,125],"with":[20,149,156],"barrier":[21],"Lyapunov":[22],"function":[23],"(BLF),":[24],"novel":[26],"design":[28],"method":[29,165],"is":[30,46,60,80,104,128,141,181],"presented":[31],"systematically":[33],"address":[34],"the":[35,50,58,73,84,91,108,115,131,138,163,169,172,177,200,203],"two":[36],"critical":[37],"issues":[38],"in":[39,118,168],"network":[41],"(NN)":[42],"field:":[44],"one":[45],"how":[47,61],"fulfill":[49],"compact":[51],"set":[52],"precondition":[53],"NN":[55,69,76,85,121],"approximation,":[56],"and":[57,143],"other":[59],"use":[63],"varying":[64],"rather":[65],"than":[66],"fixed":[68],"structure":[70,122],"improve":[72],"functionality":[74],"of":[75,133,152,162,171,202],"control.":[77],"A":[78],"BLF":[79],"exploited":[81],"ensure":[83],"inputs":[86],"remain":[88],"bounded":[89],"during":[90],"entire":[92],"system":[93,98],"operation.":[94],"To":[95],"account":[96],"nonlinearities,":[99],"neuron":[101],"self-growing":[102],"strategy":[103],"proposed":[105,164,204],"guide":[107],"process":[109],"adding":[111],"neurons":[113,134,153,194],"system,":[116],"resulting":[117,178],"self-adjustable":[120],"better":[124,144],"capabilities.":[126],"It":[127],"shown":[129],"that":[130],"number":[132,151],"needed":[135],"accomplish":[137],"task":[140],"finite,":[142],"performance":[145],"can":[146],"be":[147],"obtained":[148],"less":[150],"as":[154],"compared":[155],"traditional":[157],"methods.":[158],"The":[159],"salient":[160],"feature":[161],"also":[166],"lies":[167],"continuity":[170],"action":[174,180],"everywhere.":[175],"Furthermore,":[176],"smooth":[182],"almost":[183],"everywhere":[184],"except":[185],"few":[188],"time":[189],"instants":[190],"at":[191],"which":[192],"are":[195],"added.":[196],"Numerical":[197],"example":[198],"illustrates":[199],"effectiveness":[201],"approach.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}