{"id":"https://openalex.org/W2151205149","doi":"https://doi.org/10.1109/tie.2011.2164773","title":"Advantages of Radial Basis Function Networks for Dynamic System Design","display_name":"Advantages of Radial Basis Function Networks for Dynamic System Design","publication_year":2011,"publication_date":"2011-08-16","ids":{"openalex":"https://openalex.org/W2151205149","doi":"https://doi.org/10.1109/tie.2011.2164773","mag":"2151205149"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2011.2164773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2011.2164773","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5100432170","display_name":"Hao Yu","orcid":"https://orcid.org/0000-0001-8747-3203"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hao Yu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051057976","display_name":"Tiantian Xie","orcid":"https://orcid.org/0000-0002-4790-925X"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tiantian Xie","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044676440","display_name":"S. Paszczynski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109085","display_name":"University of Information Technology and Management in Rzeszow","ror":"https://ror.org/01t81sv44","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210109085"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Stanis\u0142aw Paszczynski","raw_affiliation_strings":["Department of Distributed Systems, University of Information Technology and Management, Rzesz\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Distributed Systems, University of Information Technology and Management, Rzesz\u00f3w, Poland","institution_ids":["https://openalex.org/I4210109085"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084622054","display_name":"Bogdan M. Wilamowski","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bogdan M. Wilamowski","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":46.5784,"has_fulltext":false,"cited_by_count":448,"citation_normalized_percentile":{"value":0.99830459,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"58","issue":"12","first_page":"5438","last_page":"5450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14474","display_name":"Industrial Technology and Control Systems","score":0.9925000071525574,"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/T14474","display_name":"Industrial Technology and Control Systems","score":0.9925000071525574,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9923999905586243,"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/T10320","display_name":"Neural Networks and Applications","score":0.9901999831199646,"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/radial-basis-function","display_name":"Radial basis function","score":0.7932097911834717},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6750171184539795},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6356044411659241},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5769025683403015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5682222843170166},{"id":"https://openalex.org/keywords/radial-basis-function-network","display_name":"Radial basis function network","score":0.558311939239502},{"id":"https://openalex.org/keywords/hierarchical-rbf","display_name":"Hierarchical RBF","score":0.5366572141647339},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.47717395424842834},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4497404992580414},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43452996015548706},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4207202196121216},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3828219175338745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09734976291656494}],"concepts":[{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7932097911834717},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6750171184539795},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6356044411659241},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5769025683403015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5682222843170166},{"id":"https://openalex.org/C132917294","wikidata":"https://www.wikidata.org/wiki/Q2679684","display_name":"Radial basis function network","level":4,"score":0.558311939239502},{"id":"https://openalex.org/C182016430","wikidata":"https://www.wikidata.org/wiki/Q17029399","display_name":"Hierarchical RBF","level":4,"score":0.5366572141647339},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.47717395424842834},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4497404992580414},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43452996015548706},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4207202196121216},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3828219175338745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09734976291656494},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2011.2164773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2011.2164773","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W362373687","https://openalex.org/W1561607944","https://openalex.org/W1950922027","https://openalex.org/W1965198822","https://openalex.org/W1974778423","https://openalex.org/W1977070767","https://openalex.org/W1996722869","https://openalex.org/W2019282798","https://openalex.org/W2034341542","https://openalex.org/W2040547835","https://openalex.org/W2081040353","https://openalex.org/W2084812512","https://openalex.org/W2096053111","https://openalex.org/W2098739261","https://openalex.org/W2099054986","https://openalex.org/W2099320495","https://openalex.org/W2102013737","https://openalex.org/W2102152257","https://openalex.org/W2105304725","https://openalex.org/W2106233780","https://openalex.org/W2106504576","https://openalex.org/W2111990972","https://openalex.org/W2112492235","https://openalex.org/W2113442785","https://openalex.org/W2114654351","https://openalex.org/W2114865067","https://openalex.org/W2115854920","https://openalex.org/W2121129397","https://openalex.org/W2122369025","https://openalex.org/W2122535864","https://openalex.org/W2123207935","https://openalex.org/W2126069629","https://openalex.org/W2129007671","https://openalex.org/W2130416198","https://openalex.org/W2131246644","https://openalex.org/W2132293744","https://openalex.org/W2133764509","https://openalex.org/W2135119113","https://openalex.org/W2135849563","https://openalex.org/W2135951444","https://openalex.org/W2138232697","https://openalex.org/W2141720506","https://openalex.org/W2153904408","https://openalex.org/W2155399784","https://openalex.org/W2155482699","https://openalex.org/W2157794134","https://openalex.org/W2158627291","https://openalex.org/W2166814474","https://openalex.org/W2167738920","https://openalex.org/W2171277043","https://openalex.org/W2179002171","https://openalex.org/W2491646000","https://openalex.org/W6640840394"],"related_works":["https://openalex.org/W2020488014","https://openalex.org/W2352505169","https://openalex.org/W2024184249","https://openalex.org/W1969044629","https://openalex.org/W2294862180","https://openalex.org/W157952102","https://openalex.org/W2591826122","https://openalex.org/W1549106865","https://openalex.org/W3036339304","https://openalex.org/W2142402197"],"abstract_inverted_index":{"Radial":[0],"basis":[1],"function":[2],"(RBF)":[3],"networks":[4,25,59,92,99],"have":[5],"advantages":[6],"of":[7,23,43,76],"easy":[8],"design,":[9],"good":[10],"generalization,":[11],"strong":[12],"tolerance":[13,83],"to":[14,30,71,84],"input":[15,85],"noise,":[16,86],"and":[17,45,60,87,100],"online":[18,88],"learning":[19,89],"ability.":[20,90],"The":[21,49],"properties":[22,75],"RBF":[24,47,58,77,91],"make":[26],"it":[27],"very":[28],"suitable":[29],"design":[31],"flexible":[32],"control":[33],"systems.":[34,103],"This":[35],"paper":[36],"presents":[37],"a":[38],"review":[39],"on":[40],"different":[41],"approaches":[42],"designing":[44,56],"training":[46,63],"networks.":[48],"recently":[50],"developed":[51],"algorithm":[52],"is":[53],"introduced":[54],"for":[55],"compact":[57],"performing":[61],"efficient":[62],"process.":[64],"At":[65],"last,":[66],"several":[67],"problems":[68],"are":[69,93],"applied":[70],"test":[72],"the":[73],"main":[74],"networks,":[78],"including":[79],"their":[80],"generalization":[81],"ability,":[82],"also":[94],"compared":[95],"with":[96],"traditional":[97],"neural":[98],"fuzzy":[101],"inference":[102]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":41},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":45},{"year":2021,"cited_by_count":47},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":27},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":32},{"year":2016,"cited_by_count":38},{"year":2015,"cited_by_count":29},{"year":2014,"cited_by_count":34},{"year":2013,"cited_by_count":20},{"year":2012,"cited_by_count":12}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}