{"id":"https://openalex.org/W2030575588","doi":"https://doi.org/10.1007/s11045-011-0166-z","title":"Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions","display_name":"Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions","publication_year":2011,"publication_date":"2011-11-17","ids":{"openalex":"https://openalex.org/W2030575588","doi":"https://doi.org/10.1007/s11045-011-0166-z","mag":"2030575588"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-011-0166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11045-011-0166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11045-011-0166-z.pdf","source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11045-011-0166-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100420354","display_name":"Xiaoming Chen","orcid":"https://orcid.org/0000-0002-2978-2216"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Xiaoming Chen","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong","Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James Lam","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong","Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036684787","display_name":"Huijun Gao","orcid":"https://orcid.org/0000-0001-5554-5452"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210161462","display_name":"Heilongjiang Institute of Technology","ror":"https://ror.org/05x0m9n95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161462"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huijun Gao","raw_affiliation_strings":["Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China","Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China, 150001"],"affiliations":[{"raw_affiliation_string":"Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China","institution_ids":["https://openalex.org/I4210161462","https://openalex.org/I204983213"]},{"raw_affiliation_string":"Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China, 150001","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100892529","display_name":"Shaosheng Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaosheng Zhou","raw_affiliation_strings":["Department of Automation, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China","Department of Automation, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, China 310018#TAB#","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100420354"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":10.5026,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.98066372,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"3","first_page":"395","last_page":"415"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.996999979019165,"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":0.9945999979972839,"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":0.7062503695487976},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6778437495231628},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6242145299911499},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6143454313278198},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.6076631546020508},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5962653160095215},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5605409145355225},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5224786996841431},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.447148859500885},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2933461666107178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22699862718582153},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19966423511505127},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.17664304375648499},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13861826062202454},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.057791441679000854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7062503695487976},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6778437495231628},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6242145299911499},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6143454313278198},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.6076631546020508},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5962653160095215},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5605409145355225},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5224786996841431},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.447148859500885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2933461666107178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22699862718582153},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19966423511505127},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.17664304375648499},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13861826062202454},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.057791441679000854},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11045-011-0166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11045-011-0166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11045-011-0166-z.pdf","source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:hub.hku.hk:10722/147107","is_oa":true,"landing_page_url":"http://hdl.handle.net/10722/147107","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s11045-011-0166-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11045-011-0166-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11045-011-0166-z.pdf","source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2030575588.pdf","grobid_xml":"https://content.openalex.org/works/W2030575588.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W170428697","https://openalex.org/W562026345","https://openalex.org/W1482504246","https://openalex.org/W1508646839","https://openalex.org/W1552767393","https://openalex.org/W1580567622","https://openalex.org/W1584389809","https://openalex.org/W1587890916","https://openalex.org/W1598033151","https://openalex.org/W1979660509","https://openalex.org/W1994990833","https://openalex.org/W2020999290","https://openalex.org/W2028935867","https://openalex.org/W2030373993","https://openalex.org/W2031993719","https://openalex.org/W2032173185","https://openalex.org/W2034201789","https://openalex.org/W2035277082","https://openalex.org/W2036538773","https://openalex.org/W2047226061","https://openalex.org/W2050528843","https://openalex.org/W2059331811","https://openalex.org/W2063147564","https://openalex.org/W2063449377","https://openalex.org/W2068052921","https://openalex.org/W2071651841","https://openalex.org/W2081743958","https://openalex.org/W2090105196","https://openalex.org/W2091374381","https://openalex.org/W2093450512","https://openalex.org/W2096681792","https://openalex.org/W2107577395","https://openalex.org/W2109017962","https://openalex.org/W2112801564","https://openalex.org/W2119016475","https://openalex.org/W2142901425","https://openalex.org/W2143295485","https://openalex.org/W2149899322","https://openalex.org/W2163405468","https://openalex.org/W2167094764","https://openalex.org/W2460739396","https://openalex.org/W2726325912","https://openalex.org/W2985931821","https://openalex.org/W3210839039","https://openalex.org/W4206363472","https://openalex.org/W4213345774"],"related_works":["https://openalex.org/W2145227287","https://openalex.org/W2040517700","https://openalex.org/W1513671168","https://openalex.org/W3091119762","https://openalex.org/W2107584029","https://openalex.org/W2107577395","https://openalex.org/W2133961832","https://openalex.org/W2506486174","https://openalex.org/W2149945550","https://openalex.org/W2137573655"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,25,71,85,91,96],"problem":[4,73],"of":[5,57,87,95],"stability":[6,51],"analysis":[7],"and":[8,30,93],"stabilization":[9,72],"for":[10,74,84],"two-dimensional":[11],"(2-D)":[12],"discrete":[13],"fuzzy":[14,18,76],"systems.":[15],"The":[16],"2-D":[17,75],"system":[19],"model":[20],"is":[21,35,78],"established":[22],"based":[23,37,100],"on":[24,38,101],"Fornasini\u2013Marchesini":[26],"local":[27],"state-space":[28],"model,":[29],"a":[31,39],"control":[32],"design":[33,98],"procedure":[34],"proposed":[36,97],"relaxed":[40],"approach":[41],"in":[42],"which":[43],"basis-dependent":[44,102],"Lyapunov":[45,103],"functions":[46,104],"are":[47,53,105],"used.":[48],"First,":[49],"nonquadratic":[50],"conditions":[52,82],"derived":[54],"by":[55,64],"means":[56],"linear":[58],"matrix":[59,69],"inequality":[60],"(LMI)":[61],"technique.":[62],"Then,":[63],"introducing":[65],"an":[66],"additional":[67],"instrumental":[68],"variable,":[70],"systems":[77],"addressed,":[79],"with":[80],"LMI":[81],"obtained":[83],"existence":[86],"stabilizing":[88],"controllers.":[89],"Finally,":[90],"effectiveness":[92],"advantages":[94],"methods":[99],"shown":[106],"via":[107],"two":[108],"examples.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2016-06-24T00:00:00"}
