{"id":"https://openalex.org/W4409179300","doi":"https://doi.org/10.1080/00207721.2025.2486150","title":"Delay-dependent fuzzy stabilisation design for spatial 2-D time-delay parabolic PDE systems based on mobile sensors and actuators","display_name":"Delay-dependent fuzzy stabilisation design for spatial 2-D time-delay parabolic PDE systems based on mobile sensors and actuators","publication_year":2025,"publication_date":"2025-04-04","ids":{"openalex":"https://openalex.org/W4409179300","doi":"https://doi.org/10.1080/00207721.2025.2486150"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2025.2486150","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2025.2486150","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5091572656","display_name":"Xiao\u2010Wei Zhang","orcid":"https://orcid.org/0000-0003-1471-0057"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Wei Zhang","raw_affiliation_strings":["Beijing University of Technology","Tiangong University"],"raw_orcid":"https://orcid.org/0000-0003-1471-0057","affiliations":[{"raw_affiliation_string":"Beijing University of Technology","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Tiangong University","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064706479","display_name":"Yaoheng Lu","orcid":"https://orcid.org/0000-0002-1691-0266"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"You-Chen Lu","raw_affiliation_strings":["Tiangong University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tiangong University","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100418692","display_name":"Xiaoli Li","orcid":"https://orcid.org/0000-0003-1359-5130"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoli Li","raw_affiliation_strings":["Beijing University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Technology","institution_ids":["https://openalex.org/I37796252"]}]},{"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":["Beihang University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beihang University","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032334945","display_name":"Zipeng Wang","orcid":"https://orcid.org/0000-0002-6269-789X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zi-Peng Wang","raw_affiliation_strings":["Beijing University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Technology","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100418692"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":null,"apc_paid":null,"fwci":1.7851,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8360894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"56","issue":"16","first_page":"4187","last_page":"4206"},"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":0.9944999814033508,"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":0.9944999814033508,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9926999807357788,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/control-theory","display_name":"Control theory (sociology)","score":0.7441836595535278},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.7230169773101807},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.610163152217865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4823283851146698},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.41823577880859375},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.31798607110977173},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18923106789588928},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11234453320503235}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7441836595535278},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7230169773101807},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.610163152217865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4823283851146698},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.41823577880859375},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31798607110977173},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18923106789588928},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11234453320503235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207721.2025.2486150","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2025.2486150","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8399999737739563,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G618985032","display_name":null,"funder_award_id":"2024M760172","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7400674615","display_name":null,"funder_award_id":"62203326, 62373012, 62473021 and 62376195","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1972913593","https://openalex.org/W1974330417","https://openalex.org/W2008314287","https://openalex.org/W2013582768","https://openalex.org/W2062362860","https://openalex.org/W2075982079","https://openalex.org/W2097618054","https://openalex.org/W2098377488","https://openalex.org/W2108536914","https://openalex.org/W2110019734","https://openalex.org/W2116466863","https://openalex.org/W2116810757","https://openalex.org/W2147001545","https://openalex.org/W2154125198","https://openalex.org/W2168279726","https://openalex.org/W2276071760","https://openalex.org/W2337334738","https://openalex.org/W2569137606","https://openalex.org/W2594874719","https://openalex.org/W2697814928","https://openalex.org/W2936648092","https://openalex.org/W2942948303","https://openalex.org/W2962750537","https://openalex.org/W3011516314","https://openalex.org/W3020290642","https://openalex.org/W3084975600","https://openalex.org/W3090093044","https://openalex.org/W3091502489","https://openalex.org/W3105727068","https://openalex.org/W3126444207","https://openalex.org/W3133216119","https://openalex.org/W4206009461","https://openalex.org/W4206041835","https://openalex.org/W4206295944","https://openalex.org/W4323022249","https://openalex.org/W4386350779","https://openalex.org/W4386636445","https://openalex.org/W4390357589","https://openalex.org/W4392453847","https://openalex.org/W4402216154","https://openalex.org/W4402806764"],"related_works":["https://openalex.org/W2099333796","https://openalex.org/W1999058329","https://openalex.org/W2011222276","https://openalex.org/W2080330449","https://openalex.org/W2007221537","https://openalex.org/W2490690736","https://openalex.org/W785766289","https://openalex.org/W4234906596","https://openalex.org/W4229591372","https://openalex.org/W2071544734"],"abstract_inverted_index":{"In":[0],"the":[1,22,28,59,69,95,100,106,112,126,135,140,146,173,176],"context":[2],"of":[3,24,30,175],"actual":[4],"physical":[5],"processes":[6],"over":[7],"time":[8],"and":[9,111],"space,":[10],"focussing":[11],"on":[12,99],"a":[13,38,77,116],"spatial":[14,25,44,96,141],"two-dimensional":[15],"(2-D)":[16],"framework":[17],"is":[18,64,82,122],"more":[19],"practical.":[20],"As":[21],"number":[23],"dimension":[26,159],"increases,":[27],"complexity":[29],"controller":[31,79,120],"design":[32,41,80,121,178],"escalates":[33],"significantly.":[34],"This":[35],"study":[36],"presents":[37],"fuzzy":[39,62,78,102,109,118],"stabilisation":[40,119],"aimed":[42],"at":[43],"2-D":[45,70,142],"time-delay":[46,72,143],"nonlinear":[47,71],"parabolic":[48],"partial":[49],"differential":[50],"equation":[51],"(PDE)":[52],"systems":[53],"utilising":[54],"mobile":[55,87,130,150],"sensor/actuator":[56,88,131],"pairs.":[57],"Initially,":[58],"Takagi-Sugeno":[60],"(T-S)":[61],"model":[63,110],"employed":[65],"to":[66,171],"accurately":[67],"characterise":[68],"PDE":[73],"systems.":[74],"Following":[75],"this,":[76],"scheme":[81],"introduced":[83],"that":[84,134],"strategically":[85],"leverages":[86],"pairs":[89],"placed":[90],"in":[91],"various":[92],"subdomains":[93],"within":[94],"domain":[97],"based":[98],"T-S":[101,108],"model.":[103],"Subsequently,":[104],"using":[105],"developed":[107],"Lyapunov":[113],"direct":[114],"method,":[115],"membership-dependent":[117],"formulated,":[123],"along":[124],"with":[125,157],"guidance":[127,155,164],"laws":[128],"for":[129,139],"pairs,":[132],"ensuring":[133],"resulting":[136],"closed-loop":[137],"system":[138],"scenario":[144],"achieves":[145],"exponential":[147],"stability.":[148],"The":[149],"strategy":[151],"integrates":[152],"two":[153],"directional":[154],"laws,":[156],"each":[158],"having":[160],"its":[161],"own":[162],"specific":[163],"form.":[165],"Finally,":[166],"numerical":[167],"simulations":[168],"are":[169],"conducted":[170],"demonstrate":[172],"effectiveness":[174],"proposed":[177],"approach.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}