{"id":"https://openalex.org/W1976232269","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891579","title":"Distributed fuzzy proportional-spatial integral control design for a class of nonlinear distributed parameter systems","display_name":"Distributed fuzzy proportional-spatial integral control design for a class of nonlinear distributed parameter systems","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W1976232269","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891579","mag":"1976232269"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/A5100439196","display_name":"Jun\u2010Wei Wang","orcid":"https://orcid.org/0000-0003-0040-8914"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun-Wei Wang","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000266144","display_name":"Huai\u2010Ning Wu","orcid":"https://orcid.org/0000-0002-4366-5147"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huai-Ning Wu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, P. R. China","School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, P. R. China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, P. R. China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103263553","display_name":"Yao Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Yu","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101529271","display_name":"Chang\u2010Yin Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang-Yin Sun","raw_affiliation_strings":["School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, P.R. China","institution_ids":["https://openalex.org/I92403157"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100439196"],"corresponding_institution_ids":["https://openalex.org/I92403157"],"apc_list":null,"apc_paid":null,"fwci":1.2173,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81454805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"16","issue":null,"first_page":"2010","last_page":"2016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9993000030517578,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9993000030517578,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.991100013256073,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9861000180244446,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7118784189224243},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6494702696800232},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5834159255027771},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5781325697898865},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5711030960083008},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.5417822003364563},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5056557655334473},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4529820382595062},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.44794464111328125},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4347575008869171},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4132930636405945},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.39993593096733093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36073732376098633},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35851776599884033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23562225699424744},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2352258861064911},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22370845079421997},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13202276825904846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.061663538217544556}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7118784189224243},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6494702696800232},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5834159255027771},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5781325697898865},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5711030960083008},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.5417822003364563},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5056557655334473},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4529820382595062},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.44794464111328125},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4347575008869171},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4132930636405945},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.39993593096733093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36073732376098633},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35851776599884033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23562225699424744},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2352258861064911},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22370845079421997},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13202276825904846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061663538217544556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891579","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891579","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W40130861","https://openalex.org/W188866077","https://openalex.org/W1538686203","https://openalex.org/W1553483187","https://openalex.org/W1569739326","https://openalex.org/W1966805984","https://openalex.org/W2060691057","https://openalex.org/W2060723388","https://openalex.org/W2061892910","https://openalex.org/W2063994496","https://openalex.org/W2075982079","https://openalex.org/W2079325629","https://openalex.org/W2081264254","https://openalex.org/W2097008312","https://openalex.org/W2106732214","https://openalex.org/W2107853656","https://openalex.org/W2109411541","https://openalex.org/W2110019734","https://openalex.org/W2112443921","https://openalex.org/W2129148545","https://openalex.org/W2147001545","https://openalex.org/W3210839039","https://openalex.org/W4213345774","https://openalex.org/W4246604800","https://openalex.org/W6665852348"],"related_works":["https://openalex.org/W2354582784","https://openalex.org/W2060195842","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2089102366","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W2347536774"],"abstract_inverted_index":{"The":[0,36,130],"fuzzy":[1,45,83,104,114,138],"feedback":[2,117,176],"control":[3,18,177],"design":[4,168,178],"problem":[5],"is":[6,41,61,72,92,119,127,140,170],"addressed":[7],"in":[8,142],"this":[9,39,108,137],"paper":[10,40],"by":[11,29,79,158],"using":[12,159],"the":[13,50,57,67,95,102,123,134,160,166,175],"distributed":[14,25,46,113],"proportional-spatial":[15],"integral":[16,90,110,187],"(P-sI)":[17],"approach":[19],"for":[20,49],"a":[21,44,80,112,145,180,185],"class":[22],"of":[23,38,136,144,147,179],"nonlinear":[24],"parameter":[26],"systems":[27],"represented":[28,78],"semi-linear":[30,51,68,181],"parabolic":[31,52,69,84],"partial":[32],"differential-integral":[33],"equations":[34],"(PDIEs).":[35],"objective":[37],"to":[42,75,173],"develop":[43],"P-sI":[47,115],"controller":[48,118,139],"PDIE":[53,70,85,105,125],"system":[54,60,71,126,183],"such":[55,121],"that":[56,122],"resulting":[58],"closed-loop":[59,124],"exponentially":[62,128],"stable.":[63,129],"To":[64],"do":[65],"this,":[66],"first":[73],"assumed":[74],"be":[76,155],"exactly":[77],"Takagi-Sugeno":[81],"(T-S)":[82],"model.":[86],"A":[87],"new":[88,109],"vector-valued":[89,96],"inequality":[91],"established":[93],"via":[94],"Wirtinger's":[97],"inequality.":[98],"Then,":[99],"based":[100],"on":[101,133],"T-S":[103],"model":[106],"and":[107],"inequality,":[111],"state":[116],"proposed":[120],"sufficient":[131],"condition":[132],"existence":[135],"given":[141],"terms":[143],"set":[146],"standard":[148],"linear":[149],"matrix":[150],"inequalities":[151],"(LMIs),":[152],"which":[153],"can":[154],"effectively":[156],"solved":[157],"existing":[161],"convex":[162],"optimization":[163],"techniques.":[164],"Finally,":[165],"developed":[167],"methodology":[169],"successfully":[171],"applied":[172],"solve":[174],"reaction-diffusion":[182],"with":[184],"spatial":[186],"term.":[188]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
