{"id":"https://openalex.org/W2530332109","doi":"https://doi.org/10.1109/tfuzz.2016.2617366","title":"Reachable Set Estimation and Decentralized Controller Design for Large-Scale Nonlinear Systems With Time-Varying Delay and Input Constraint","display_name":"Reachable Set Estimation and Decentralized Controller Design for Large-Scale Nonlinear Systems With Time-Varying Delay and Input Constraint","publication_year":2016,"publication_date":"2016-10-13","ids":{"openalex":"https://openalex.org/W2530332109","doi":"https://doi.org/10.1109/tfuzz.2016.2617366","mag":"2530332109"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2016.2617366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2617366","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/A5070135290","display_name":"Zhixiong Zhong","orcid":"https://orcid.org/0000-0003-3880-2714"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhixiong Zhong","raw_affiliation_strings":["High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012668663","display_name":"Rong\u2010Jong Wai","orcid":"https://orcid.org/0000-0001-5483-7445"},"institutions":[{"id":"https://openalex.org/I154864474","display_name":"National Taiwan University of Science and Technology","ror":"https://ror.org/00q09pe49","country_code":"TW","type":"education","lineage":["https://openalex.org/I154864474"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Rong-Jong Wai","raw_affiliation_strings":["Department of Electronic and Computer Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I154864474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067960799","display_name":"Zhenhua Shao","orcid":"https://orcid.org/0000-0003-3538-0237"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Shao","raw_affiliation_strings":["High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016240965","display_name":"Min Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Xu","raw_affiliation_strings":["High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"High-Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China","institution_ids":["https://openalex.org/I75867142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070135290"],"corresponding_institution_ids":["https://openalex.org/I75867142"],"apc_list":null,"apc_paid":null,"fwci":3.7898,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.93578244,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"25","issue":"6","first_page":"1629","last_page":"1643"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9979000091552734,"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/T11236","display_name":"Control Systems and Identification","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7929970026016235},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5657992362976074},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5499444007873535},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48223480582237244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4651661217212677},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4611608684062958},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45856961607933044},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.45477694272994995},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4445450007915497},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42632439732551575},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11885210871696472}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7929970026016235},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5657992362976074},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5499444007873535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48223480582237244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4651661217212677},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4611608684062958},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45856961607933044},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.45477694272994995},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4445450007915497},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42632439732551575},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11885210871696472},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2016.2617366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2016.2617366","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":[{"id":"https://openalex.org/G1838622325","display_name":null,"funder_award_id":"11171027","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G6830906017","display_name":null,"funder_award_id":"2016J01267","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G7966778954","display_name":null,"funder_award_id":"104-2221-E-011-172-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W562026345","https://openalex.org/W574375941","https://openalex.org/W1226118777","https://openalex.org/W1506119886","https://openalex.org/W1567304421","https://openalex.org/W1586706860","https://openalex.org/W1603022741","https://openalex.org/W1830570888","https://openalex.org/W1880793639","https://openalex.org/W1965587013","https://openalex.org/W1966895347","https://openalex.org/W1968660011","https://openalex.org/W1973794542","https://openalex.org/W1975135956","https://openalex.org/W1975886034","https://openalex.org/W1977659451","https://openalex.org/W1977819612","https://openalex.org/W1981737882","https://openalex.org/W1990630015","https://openalex.org/W2003898968","https://openalex.org/W2011797642","https://openalex.org/W2016792109","https://openalex.org/W2044907910","https://openalex.org/W2045990802","https://openalex.org/W2052134087","https://openalex.org/W2068042646","https://openalex.org/W2070797207","https://openalex.org/W2075960958","https://openalex.org/W2078306044","https://openalex.org/W2087442520","https://openalex.org/W2098031711","https://openalex.org/W2106819694","https://openalex.org/W2125416710","https://openalex.org/W2128597623","https://openalex.org/W2129546905","https://openalex.org/W2130565092","https://openalex.org/W2131395744","https://openalex.org/W2141566274","https://openalex.org/W2145357731","https://openalex.org/W2148885430","https://openalex.org/W2149899322","https://openalex.org/W2151700624","https://openalex.org/W2158601988","https://openalex.org/W2159970762","https://openalex.org/W2163405468","https://openalex.org/W2250434383","https://openalex.org/W2312834382","https://openalex.org/W2748466577","https://openalex.org/W6679040347"],"related_works":["https://openalex.org/W2115030441","https://openalex.org/W2147578878","https://openalex.org/W1971360108","https://openalex.org/W2387001023","https://openalex.org/W1891560188","https://openalex.org/W4295934589","https://openalex.org/W2039899580","https://openalex.org/W2380105098","https://openalex.org/W2383436484","https://openalex.org/W4214855318"],"abstract_inverted_index":{"This":[0],"paper":[1,43],"investigates":[2],"the":[3,54,58,80,99,103,107,113,122,139,161,164],"problem":[4],"of":[5,41,57,70,98,124,135,149,163],"reachable":[6,55,114,136],"set":[7,56,115],"estimation":[8,116],"and":[9,20,90,102,117],"decentralized":[10,48,126],"controller":[11,51,129],"design":[12,46],"for":[13,112,121,138],"large-scale":[14],"nonlinear":[15,37],"systems,":[16],"where":[17],"time-varying":[18],"delays":[19],"nonlinearities":[21],"appear":[22],"in":[23,147],"interconnections":[24,86],"connected":[25],"to":[26,34,45,78,159],"other":[27],"subsystems.":[28],"The":[29,39],"Takagi-Sugeno":[30],"model":[31,74],"is":[32,44,65,76,110],"used":[33],"describe":[35],"each":[36],"subsystem.":[38],"aim":[40],"this":[42],"a":[47,73,95,125],"state-feedback":[49,127],"fuzzy":[50,128],"such":[52],"that":[53,130],"resulting":[59],"closed-loop":[60,81,140],"system":[61,82,141],"with":[62,87,142],"input":[63,143],"constraint":[64,144],"bounded":[66],"by":[67],"an":[68,132],"intersection":[69],"ellipsoids.":[71],"First,":[72],"transformation":[75],"proposed":[77,165],"reformulate":[79],"as":[83],"several":[84],"feedback":[85],"extra":[88],"inputs":[89],"outputs.":[91],"Then,":[92],"based":[93],"on":[94],"combined":[96],"application":[97],"Lyapunov-Krasovskii":[100],"functional":[101],"scaled":[104],"small-gain":[105],"theorem,":[106],"input-output":[108],"approach":[109],"developed":[111],"synthesis.":[118],"Several":[119],"conditions":[120],"existence":[123],"ensures":[131],"ellipsoidal":[133],"bound":[134],"sets":[137],"are":[145,157],"derived":[146],"terms":[148],"linear":[150],"matrix":[151],"inequalities.":[152],"Finally,":[153],"two":[154],"numerical":[155],"examples":[156],"given":[158],"validate":[160],"effectiveness":[162],"strategy.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
