{"id":"https://openalex.org/W2169990806","doi":"https://doi.org/10.1109/tfuzz.2010.2102039","title":"Further Theoretical Justification of the $k$ -Samples Variation Approach for Discrete-Time Takagi\u2013Sugeno Fuzzy Systems","display_name":"Further Theoretical Justification of the $k$ -Samples Variation Approach for Discrete-Time Takagi\u2013Sugeno Fuzzy Systems","publication_year":2010,"publication_date":"2010-12-23","ids":{"openalex":"https://openalex.org/W2169990806","doi":"https://doi.org/10.1109/tfuzz.2010.2102039","mag":"2169990806"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2010.2102039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2102039","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":"https://openalex.org/A5100654320","display_name":"Dong Hwan Lee","orcid":"https://orcid.org/0000-0002-8681-099X"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dong Hwan Lee","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033644898","display_name":"Jin Bae Park","orcid":"https://orcid.org/0000-0002-9253-5883"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jin Bae Park","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051395190","display_name":"Young Hoon Joo","orcid":"https://orcid.org/0000-0002-4662-1916"},"institutions":[{"id":"https://openalex.org/I120158604","display_name":"Kunsan National University","ror":"https://ror.org/02yj55q56","country_code":"KR","type":"education","lineage":["https://openalex.org/I120158604"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Hoon Joo","raw_affiliation_strings":["Department of Control and Robotics Engineering, Kunsan National University, Kunsan, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Robotics Engineering, Kunsan National University, Kunsan, South Korea","institution_ids":["https://openalex.org/I120158604"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0546,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95200761,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"3","first_page":"594","last_page":"597"},"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":0.9980999827384949,"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":0.9980999827384949,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9894000291824341,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4451884329319},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4045883119106293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3432486653327942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3333076238632202},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.329917311668396}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4451884329319},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4045883119106293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3432486653327942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3333076238632202},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.329917311668396}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2010.2102039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2010.2102039","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1572586164","https://openalex.org/W1979660509","https://openalex.org/W2023744703","https://openalex.org/W2035849126","https://openalex.org/W2089459209","https://openalex.org/W2097166675","https://openalex.org/W2106174604","https://openalex.org/W2110019734","https://openalex.org/W2111394600","https://openalex.org/W2115240537","https://openalex.org/W2122076516","https://openalex.org/W2417903161","https://openalex.org/W2463908258"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"The":[0],"recently":[1],"developed":[2],"<i":[3,52,81,88,99,103,115,119,129,139,156,160,174,178],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[4,53,82,85,89,92,100,104,107,116,120,123,130,133,140,143,157,161,164,175,179,182],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</i>":[5,54,83,90,101,105,117,121,131,141,158,162,176,180],"-samples":[6],"variation":[7],"approach":[8],"is":[9,57,109,135],"known":[10],"as":[11],"a":[12,167],"powerful":[13],"way":[14],"to":[15,49,114,172],"reduce":[16],"the":[17,34,96,136,153],"conservativeness":[18],"of":[19,138],"existing":[20],"stability":[21],"and":[22,87],"stabilization":[23],"conditions":[24,68],"for":[25,77,98,155],"discrete-time":[26],"Takagi-Sugeno":[27],"(T-S)":[28],"fuzzy":[29],"systems.":[30],"In":[31,71,146],"this":[32,147],"approach,":[33],"Lyapunov":[35],"functions":[36],"under":[37],"consideration":[38],"are":[39,47,125,184],"not":[40],"necessarily":[41],"decreasing":[42],"at":[43],"every":[44,51],"sample":[45],"but":[46],"allowed":[48],"decrease":[50],"samples,":[55],"which":[56],"evidently":[58],"less":[59],"restrictive":[60],"than":[61],"classical":[62],"approaches.":[63],"Consequently,":[64],"less-conservative":[65],"linear-matrix-inequality":[66],"(LMI)":[67],"were":[69],"derived.":[70],"addition,":[72],"it":[73],"was":[74],"proved":[75],"that,":[76,151],"two":[78],"positive":[79],"integers":[80],"<sub":[84,91,106,122,132,142,163,181],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[86,108,144],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[93,124,134,165,183],",":[94],"if":[95,152],"condition":[97,154],"=":[102,118,159],"fulfilled,":[110],"then":[111,169],"those":[112,170],"corresponding":[113,171],"also":[126,185],"satisfied":[127],"when":[128],"divisor":[137],".":[145],"letter,":[148],"we":[149],"prove":[150],"admits":[166],"solution,":[168],"any":[173],">;":[177],"solvable.":[186]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
