{"id":"https://openalex.org/W2123836166","doi":"https://doi.org/10.1109/tsmcb.2008.2007496","title":"Delay-Distribution-Dependent Stability and Stabilization of T\u2013S Fuzzy Systems With Probabilistic Interval Delay","display_name":"Delay-Distribution-Dependent Stability and Stabilization of T\u2013S Fuzzy Systems With Probabilistic Interval Delay","publication_year":2008,"publication_date":"2008-12-18","ids":{"openalex":"https://openalex.org/W2123836166","doi":"https://doi.org/10.1109/tsmcb.2008.2007496","mag":"2123836166","pmid":"https://pubmed.ncbi.nlm.nih.gov/19095544"},"language":"en","primary_location":{"id":"doi:10.1109/tsmcb.2008.2007496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcb.2008.2007496","pdf_url":null,"source":{"id":"https://openalex.org/S4210170378","display_name":"IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)","issn_l":"1083-4419","issn":["1083-4419","1941-0492"],"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 Systems, Man, and Cybernetics, Part B (Cybernetics)","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/A5100727487","display_name":"Dong Yue","orcid":"https://orcid.org/0000-0001-7810-9338"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong Yue","raw_affiliation_strings":["Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China. medongy@vip.163.com","Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China","Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China. medongy@vip.163.com","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Institute of Information and Control Engineering Technology, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050172715","display_name":"Engang Tian","orcid":"https://orcid.org/0000-0002-8169-5347"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Engang Tian","raw_affiliation_strings":["School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100376303","display_name":"Yijun Zhang","orcid":"https://orcid.org/0000-0003-2705-6672"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yijun Zhang","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100338486","display_name":"Chen Peng","orcid":"https://orcid.org/0000-0003-3652-2233"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Peng","raw_affiliation_strings":["School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100727487"],"corresponding_institution_ids":["https://openalex.org/I152031979","https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":39.0184,"has_fulltext":false,"cited_by_count":230,"citation_normalized_percentile":{"value":0.99840752,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"39","issue":"2","first_page":"503","last_page":"516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.6404210925102234},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6386182904243469},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.627016544342041},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5931930541992188},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.58444744348526},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5548742413520813},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5527960062026978},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.46978560090065},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4692670702934265},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.45741504430770874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3463500142097473},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3440856337547302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30393069982528687},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18138951063156128},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15519306063652039}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6404210925102234},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6386182904243469},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.627016544342041},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5931930541992188},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.58444744348526},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5548742413520813},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5527960062026978},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46978560090065},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4692670702934265},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.45741504430770874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3463500142097473},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3440856337547302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30393069982528687},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18138951063156128},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15519306063652039},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmcb.2008.2007496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmcb.2008.2007496","pdf_url":null,"source":{"id":"https://openalex.org/S4210170378","display_name":"IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)","issn_l":"1083-4419","issn":["1083-4419","1941-0492"],"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 Systems, Man, and Cybernetics, Part B (Cybernetics)","raw_type":"journal-article"},{"id":"pmid:19095544","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19095544","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 systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W978871182","https://openalex.org/W1545448099","https://openalex.org/W1607385133","https://openalex.org/W1973033731","https://openalex.org/W1979371021","https://openalex.org/W1980198331","https://openalex.org/W1982218468","https://openalex.org/W1984965199","https://openalex.org/W1985965394","https://openalex.org/W1996515968","https://openalex.org/W2002647750","https://openalex.org/W2007784570","https://openalex.org/W2007887484","https://openalex.org/W2010088749","https://openalex.org/W2026717471","https://openalex.org/W2030803456","https://openalex.org/W2037921681","https://openalex.org/W2042291513","https://openalex.org/W2059279280","https://openalex.org/W2067071738","https://openalex.org/W2087962488","https://openalex.org/W2088564945","https://openalex.org/W2100649435","https://openalex.org/W2122125075","https://openalex.org/W2122392795","https://openalex.org/W2129752983","https://openalex.org/W2130139708","https://openalex.org/W2132704240","https://openalex.org/W2136054051","https://openalex.org/W2144737232","https://openalex.org/W2144801427","https://openalex.org/W2147741380","https://openalex.org/W2148386888","https://openalex.org/W2153027817","https://openalex.org/W2169423308","https://openalex.org/W3148374392"],"related_works":["https://openalex.org/W2187391117","https://openalex.org/W2056357792","https://openalex.org/W1981809986","https://openalex.org/W1843467136","https://openalex.org/W2949367465","https://openalex.org/W4235203617","https://openalex.org/W2051545453","https://openalex.org/W2006359264","https://openalex.org/W2009776842","https://openalex.org/W1935138604"],"abstract_inverted_index":{"In":[0],"this":[1,126],"paper,":[2],"we":[3],"are":[4,71],"concerned":[5],"with":[6,21,46,134],"the":[7,27,33,36,52,59,63,68,75,84,93,100,103,108,112,122,135,139,145],"problem":[8],"of":[9,29,32,55,67,86,92,102,111,121,141,144],"stability":[10,66],"analysis":[11],"and":[12,83],"stabilization":[13],"control":[14],"design":[15],"for":[16,62],"Takagi-Sugeno":[17],"(T-S)":[18],"fuzzy":[19,44,57],"systems":[20,70],"probabilistic":[22],"interval":[23],"delay.":[24],"By":[25],"employing":[26],"information":[28,140],"probability":[30,109],"distribution":[31,110],"time":[34],"delay,":[35],"original":[37],"system":[38],"is":[39,147,150],"transformed":[40],"into":[41],"a":[42],"T-S":[43,56],"model":[45],"stochastic":[47],"parameter":[48],"matrices.":[49],"Based":[50],"on":[51,99,107],"new":[53],"type":[54],"model,":[58],"delay-distribution-dependent":[60],"criteria":[61,95,124],"mean-square":[64],"exponential":[65],"considered":[69],"derived":[72,94],"by":[73,152,167],"using":[74],"Lyapunov-Krasovskii":[76],"functional":[77],"method,":[78],"parallel":[79],"distributed":[80],"compensation":[81],"approach,":[82],"convexity":[85],"some":[87,117],"matrix":[88],"equations.":[89],"The":[90,119],"solvability":[91],"depends":[96],"not":[97],"only":[98,138],"size":[101],"delay":[104,113,146],"but":[105],"also":[106,129],"taking":[114],"values":[115],"in":[116,125],"intervals.":[118],"revisions":[120],"main":[123],"paper":[127],"can":[128,158],"be":[130],"used":[131],"to":[132,160],"deal":[133],"case":[136],"when":[137],"variation":[142],"range":[143],"considered.":[148],"It":[149],"shown":[151],"practical":[153],"examples":[154],"that":[155],"our":[156],"method":[157],"lead":[159],"very":[161],"less":[162],"conservative":[163],"results":[164],"than":[165],"those":[166],"other":[168],"existing":[169],"methods.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":19},{"year":2012,"cited_by_count":17}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
