{"id":"https://openalex.org/W3201305170","doi":"https://doi.org/10.1109/tii.2021.3111816","title":"An Arctan-Type Varying-Parameter ZNN for Solving Time-Varying Complex Sylvester Equations in Finite Time","display_name":"An Arctan-Type Varying-Parameter ZNN for Solving Time-Varying Complex Sylvester Equations in Finite Time","publication_year":2021,"publication_date":"2021-09-10","ids":{"openalex":"https://openalex.org/W3201305170","doi":"https://doi.org/10.1109/tii.2021.3111816","mag":"3201305170"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2021.3111816","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2021.3111816","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","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/A5005130812","display_name":"Lin Xiao","orcid":"https://orcid.org/0000-0003-3172-3490"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-3172-3490","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001995561","display_name":"Juan Tao","orcid":"https://orcid.org/0000-0003-4835-5735"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Tao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-4835-5735","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063378661","display_name":"Weibing Li","orcid":"https://orcid.org/0000-0002-7970-9076"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weibing Li","raw_affiliation_strings":["College of Information Science and Engineering, Jishou University, Jishou, China"],"raw_orcid":"https://orcid.org/0000-0002-7970-9076","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Jishou University, Jishou, China","institution_ids":["https://openalex.org/I144581915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1448,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.92097374,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"18","issue":"6","first_page":"3651","last_page":"3660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.996999979019165,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.996999979019165,"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/T10320","display_name":"Neural Networks and Applications","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9950000047683716,"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/convergence","display_name":"Convergence (economics)","score":0.697125256061554},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5698204040527344},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5469163656234741},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5153414607048035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48146477341651917},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4778404235839844},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.47076156735420227},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.44425418972969055},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41721975803375244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4139330983161926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2287587821483612},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13646569848060608}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.697125256061554},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5698204040527344},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5469163656234741},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5153414607048035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48146477341651917},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4778404235839844},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.47076156735420227},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.44425418972969055},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41721975803375244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4139330983161926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2287587821483612},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13646569848060608},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2021.3111816","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2021.3111816","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1826252836","display_name":"\u8bbe\u5b9a\u65f6\u95f4\u6536\u655b\u7684\u5206\u6570\u9636\u590d\u503c\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u7684\u6a21\u578b\u8bbe\u8ba1\u53ca\u7406\u8bba\u7814\u7a76","funder_award_id":"61966014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2518044580","display_name":null,"funder_award_id":"18A289","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G5166635775","display_name":"\u9488\u5bf9\u65f6\u53d8\u590d\u6570\u95ee\u9898\u7684\u590d\u503c\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u8bbe\u8ba1\u548c\u7406\u8bba\u7814\u7a76","funder_award_id":"61866013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7389301712","display_name":null,"funder_award_id":"2021JJ20005","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G8064630213","display_name":null,"funder_award_id":"61976089","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/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W297428244","https://openalex.org/W1516289514","https://openalex.org/W1973446088","https://openalex.org/W2024069345","https://openalex.org/W2039876715","https://openalex.org/W2047073226","https://openalex.org/W2093627685","https://openalex.org/W2133702739","https://openalex.org/W2136556155","https://openalex.org/W2174800583","https://openalex.org/W2336309239","https://openalex.org/W2789246897","https://openalex.org/W2791809365","https://openalex.org/W2793953252","https://openalex.org/W2887685036","https://openalex.org/W2963227373","https://openalex.org/W2973166946","https://openalex.org/W2973780295","https://openalex.org/W2973843340","https://openalex.org/W2985814324","https://openalex.org/W2999184988","https://openalex.org/W3000197169","https://openalex.org/W3003406779","https://openalex.org/W3099844221","https://openalex.org/W3116496379","https://openalex.org/W6610519067"],"related_works":["https://openalex.org/W2306553012","https://openalex.org/W4251417359","https://openalex.org/W4229993731","https://openalex.org/W2381059884","https://openalex.org/W2372756075","https://openalex.org/W1979193983","https://openalex.org/W2998581040","https://openalex.org/W2220405813","https://openalex.org/W2610708416","https://openalex.org/W2374111230"],"abstract_inverted_index":{"Zeroing":[0],"neural":[1,7],"network":[2],"(ZNN)":[3],"is":[4,45,165],"an":[5,150],"effective":[6],"solution":[8],"to":[9,41,80,106,167,174],"time-varying":[10,13,53,66,159],"problems,":[11],"including":[12],"complex":[14,160],"Sylvester":[15,161],"equations.":[16,162],"Generally,":[17],"a":[18,22],"ZNN":[19],"model":[20],"involves":[21],"convergence":[23,30,83,156,189,211],"design":[24],"parameter":[25],"(CDP)":[26],"that":[27,92,102,171],"influences":[28],"its":[29,169],"rate.":[31],"In":[32,185],"traditional":[33],"fixed-parameter":[34],"ZNNs":[35,63],"(FP-ZNNs),":[36],"the":[37,49,72,103,129,134,140,146,178,187,191,194,198,209,213],"CDPs":[38,50,67,95,104,116,130,170,199],"are":[39,51,117,200,205],"set":[40],"be":[42,107,125,175],"constant,":[43],"which":[44],"not":[46],"realistic":[47],"since":[48],"actually":[52],"in":[54,71,119,182],"practical":[55],"hardware":[56],"environments.":[57],"By":[58],"considering":[59],"this":[60,143],"fact,":[61],"varying-parameter":[62],"(VP-ZNNs)":[64],"with":[65,86,99,110,131,154,208],"have":[68,77,89],"been":[69,78],"researched":[70],"literature.":[73],"Although":[74],"these":[75],"VP-ZNNs":[76,135],"demonstrated":[79],"deliver":[81],"superior":[82,210],"as":[84],"compared":[85],"FP-ZNNs,":[87],"they":[88],"one":[90],"drawback,":[91],"is,":[93],"their":[94],"usually":[96],"keep":[97],"increasing":[98],"time,":[100,148],"meaning":[101],"tend":[105],"infinity":[108,114],"large":[109,115],"time":[111,132],"progresses.":[112],"Evidently,":[113],"unacceptable":[118],"practice.":[120],"Moreover,":[121],"computing":[122],"resources":[123],"will":[124],"wasted":[126],"by":[127],"growing":[128],"after":[133],"become":[136],"convergent.":[137],"To":[138],"tackle":[139],"above":[141],"issues,":[142],"article,":[144],"for":[145,157],"first":[147],"proposes":[149],"arctan-type":[151],"VP-ZNN":[152],"(ATVP-ZNN)":[153],"finite-time":[155,188],"solving":[158],"The":[163],"ATVP-ZNN":[164,179,192,214],"able":[166],"adjust":[168],"finally":[172],"converge":[173],"constant":[176],"when":[177],"becomes":[180],"convergent":[181],"finite":[183],"time.":[184],"theory,":[186],"of":[190,197,212],"and":[193],"upper":[195],"bound":[196],"mathematically":[201],"analyzed.":[202],"Numerical":[203],"studies":[204],"comparatively":[206],"performed":[207],"substantiated.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}