{"id":"https://openalex.org/W2122778889","doi":"https://doi.org/10.1109/tfuzz.2009.2021984","title":"A General and Formal Methodology to Design Stable Nonlinear Fuzzy Control Systems","display_name":"A General and Formal Methodology to Design Stable Nonlinear Fuzzy Control Systems","publication_year":2009,"publication_date":"2009-05-04","ids":{"openalex":"https://openalex.org/W2122778889","doi":"https://doi.org/10.1109/tfuzz.2009.2021984","mag":"2122778889"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2009.2021984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2009.2021984","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","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":null,"display_name":"J.M.A. Marquez","orcid":null},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J.M.A. Marquez","raw_affiliation_strings":["Department of Electronic Engineering, University of Huelva, Huelva, Spain","Dept. of Electron. Eng., Comput. Syst. & Autom., Univ. of Huelva, Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, University of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Comput. Syst. & Autom., Univ. of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"author_position":"middle","author":{"id":null,"display_name":"A.J.B. Pina","orcid":null},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A.J.B. Pina","raw_affiliation_strings":["Department of Electronic Engineering, University of Huelva, Huelva, Spain","Dept. of Electron. Eng., Comput. Syst. & Autom., Univ. of Huelva, Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, University of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Comput. Syst. & Autom., Univ. of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101733589","display_name":"M. E. Arias","orcid":"https://orcid.org/0000-0001-6375-1782"},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.E.G. Arias","raw_affiliation_strings":["Department of Mathematics, University of Huelva, Huelva, Spain","Dept. of Math., Univ. of Huelva, Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Huelva, Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I78880903"],"apc_list":null,"apc_paid":null,"fwci":4.4413,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.94606373,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"5","first_page":"1081","last_page":"1091"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987000226974487,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987000226974487,"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":0.9980000257492065,"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":0.9975000023841858,"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/heuristics","display_name":"Heuristics","score":0.6945147514343262},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6305196285247803},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6237296462059021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5646197199821472},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.47999638319015503},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4736945629119873},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.47083309292793274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45534902811050415},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.4239475131034851},{"id":"https://openalex.org/keywords/formal-methods","display_name":"Formal methods","score":0.4201834201812744},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4147213101387024},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3702429533004761},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3550388514995575},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3013875484466553},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.293287456035614},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22844114899635315},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0753425657749176}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6945147514343262},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6305196285247803},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6237296462059021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5646197199821472},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.47999638319015503},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4736945629119873},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.47083309292793274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45534902811050415},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.4239475131034851},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.4201834201812744},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4147213101387024},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3702429533004761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3550388514995575},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3013875484466553},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.293287456035614},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22844114899635315},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0753425657749176},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2009.2021984","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2009.2021984","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","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":47,"referenced_works":["https://openalex.org/W643973177","https://openalex.org/W1487112583","https://openalex.org/W1487127700","https://openalex.org/W1498898247","https://openalex.org/W1561445488","https://openalex.org/W1588950483","https://openalex.org/W1878147862","https://openalex.org/W1962754441","https://openalex.org/W1976765984","https://openalex.org/W1979660509","https://openalex.org/W2001579955","https://openalex.org/W2002041997","https://openalex.org/W2007456439","https://openalex.org/W2025539108","https://openalex.org/W2052392542","https://openalex.org/W2064817422","https://openalex.org/W2077496941","https://openalex.org/W2077806522","https://openalex.org/W2079325629","https://openalex.org/W2083824790","https://openalex.org/W2095054284","https://openalex.org/W2099822216","https://openalex.org/W2103269436","https://openalex.org/W2108640393","https://openalex.org/W2109876064","https://openalex.org/W2112212029","https://openalex.org/W2118280402","https://openalex.org/W2119016475","https://openalex.org/W2119757705","https://openalex.org/W2126997838","https://openalex.org/W2129616157","https://openalex.org/W2136287171","https://openalex.org/W2145479133","https://openalex.org/W2149663679","https://openalex.org/W2152150600","https://openalex.org/W2158054592","https://openalex.org/W2166025411","https://openalex.org/W2171074980","https://openalex.org/W2206012437","https://openalex.org/W2305587097","https://openalex.org/W2326653536","https://openalex.org/W2912565176","https://openalex.org/W3011460294","https://openalex.org/W3023540311","https://openalex.org/W3160954918","https://openalex.org/W4205940976","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W161255303","https://openalex.org/W1544097700","https://openalex.org/W1488573418","https://openalex.org/W2152752131","https://openalex.org/W1922520186","https://openalex.org/W1946493810","https://openalex.org/W2391979747","https://openalex.org/W2981877881","https://openalex.org/W2550448639","https://openalex.org/W2224250496"],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"The":[3],"price":[4],"to":[5,27,38,52,84],"be":[6,28,85],"paid":[7],"for":[8,76],"the":[9,17,81,110],"great":[10],"dynamic":[11],"richness":[12],"of":[13,19,40,94,98,109],"nonlinear":[14,57,99],"systems":[15],"is":[16,34,68],"lack":[18],"a":[20,31,45],"unitary":[21],"theory":[22],"that":[23,33,39,48],"allows":[24,80],"control-system":[25],"design":[26],"tacked":[29],"in":[30,103],"way":[32],"parallel":[35],"or":[36],"analogous":[37],"linear":[41],"systems.":[42],"We":[43],"propose":[44],"general":[46],"methodology":[47,67],"uses":[49],"fuzzy":[50],"logic":[51],"systematically":[53],"and":[54],"formally":[55],"synthesize":[56],"control":[58,100],"systems,":[59],"which":[60],"are":[61,101],"stable":[62],"by":[63],"design.":[64],"Although":[65],"this":[66,104],"based":[69],"on":[70],"Lyapunov":[71,77],"theory,":[72],"it":[73],"avoids":[74],"searching":[75],"functions.":[78],"This":[79],"synthesis":[82],"procedure":[83],"systematic":[86],"as":[87,89],"well":[88],"formal":[90],"and,":[91],"especially,":[92],"independent":[93],"heuristics.":[95],"Some":[96],"examples":[97],"solved":[102],"paper,":[105],"thus":[106],"allowing":[107],"assessment":[108],"proposed":[111],"methodology.":[112],"</para>":[113]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}