{"id":"https://openalex.org/W4394862641","doi":"https://doi.org/10.1109/tnnls.2024.3382199","title":"New RNN Algorithms for Different Time-Variant Matrix Inequalities Solving Under Discrete-Time Framework","display_name":"New RNN Algorithms for Different Time-Variant Matrix Inequalities Solving Under Discrete-Time Framework","publication_year":2024,"publication_date":"2024-04-16","ids":{"openalex":"https://openalex.org/W4394862641","doi":"https://doi.org/10.1109/tnnls.2024.3382199","pmid":"https://pubmed.ncbi.nlm.nih.gov/38625777"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3382199","doi":"https://doi.org/10.1109/tnnls.2024.3382199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3382199","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-a","doyens","jufo-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5038110519","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-3014-7858","observed_orcids":["https://orcid.org/0000-0003-3014-7858"]},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3014-7858","affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070966470","display_name":"Chenling Ding","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenling Ding","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001796838","display_name":"Shuai Li","orcid":"https://orcid.org/0000-0002-9574-9609","observed_orcids":["https://orcid.org/0000-0002-9574-9609","https://orcid.org/0009-0003-2830-9990"]},"institutions":[{"id":"https://openalex.org/I87653560","display_name":"VTT Technical Research Centre of Finland","ror":"https://ror.org/04b181w54","country_code":"FI","type":"nonprofit","lineage":["https://openalex.org/I4210089493","https://openalex.org/I87653560"]},{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Shuai Li","raw_affiliation_strings":["Faculty of Information Technology and Electrical Engineering, University of Oulu, Oulu, Finland","VTT-Technical Research Centre of Finland, Oulu, Finland"],"raw_orcid":"https://orcid.org/0000-0002-9574-9609","affiliations":[{"raw_affiliation_string":"Faculty of Information Technology and Electrical Engineering, University of Oulu, Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]},{"raw_affiliation_string":"VTT-Technical Research Centre of Finland, Oulu, Finland","institution_ids":["https://openalex.org/I87653560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100654790","display_name":"Bin Li","orcid":"https://orcid.org/0000-0001-8268-0430","observed_orcids":["https://orcid.org/0000-0001-8268-0430"]},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Li","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006966486","display_name":"Xiaobing Sun","orcid":"https://orcid.org/0000-0001-5165-5080","observed_orcids":["https://orcid.org/0000-0001-5165-5080"]},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobing Sun","raw_affiliation_strings":["School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5165-5080","affiliations":[{"raw_affiliation_string":"School of Information Engineering and Jiangsu Province Engineering Research Center of Knowledge Management and Intelligent Service, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2495,"currency":"USD","value_usd":2495},"apc_paid":null,"fwci":7.1124,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.98050793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"36","issue":"3","first_page":"5244","last_page":"5257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5526999831199646,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.5526999831199646,"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/T10320","display_name":"Neural Networks and Applications","score":0.27149999141693115,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.05770000070333481,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-recurrent-neural-networks","display_name":"discrete-time recurrent neural networks","score":0.902999997138977},{"id":"https://openalex.org/keywords/second-order-taylor-expansion","display_name":"second-order Taylor expansion","score":0.8479999899864197},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.7210000157356262},{"id":"https://openalex.org/keywords/direct-discretization","display_name":"direct discretization","score":0.574999988079071}],"concepts":[{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.8242520093917847},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.7502131462097168},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.593248724937439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5359291434288025},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5334532260894775},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5155584812164307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38636431097984314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34142038226127625},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.26800984144210815},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15530216693878174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0613323450088501},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3382199","doi":"https://doi.org/10.1109/tnnls.2024.3382199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3382199","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-a","doyens","jufo-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:38625777","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38625777","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1609224850","display_name":null,"funder_award_id":"RJFW\u2010053","funder_id":"https://openalex.org/F4320326182","funder_display_name":"Six Talent Peaks Project in Jiangsu Province"},{"id":"https://openalex.org/G2923719292","display_name":"\u77e5\u8bc6\u9a71\u52a8\u7684\u8f6f\u4ef6\u7f3a\u9677\u5206\u6790\u4e0e\u7406\u89e3\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61972335","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5780347565","display_name":null,"funder_award_id":"BK20190875","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G8581092217","display_name":null,"funder_award_id":"61906164","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/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326182","display_name":"Six Talent Peaks Project in Jiangsu Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W76314153","https://openalex.org/W605390454","https://openalex.org/W2003162446","https://openalex.org/W2498976522","https://openalex.org/W2588591728","https://openalex.org/W2744543204","https://openalex.org/W2764226165","https://openalex.org/W2794132121","https://openalex.org/W2801420010","https://openalex.org/W2806365404","https://openalex.org/W2906482729","https://openalex.org/W2918740961","https://openalex.org/W2922317452","https://openalex.org/W2940514219","https://openalex.org/W2969990253","https://openalex.org/W2982376733","https://openalex.org/W2991775290","https://openalex.org/W2994883642","https://openalex.org/W3000352647","https://openalex.org/W3000389955","https://openalex.org/W3004562332","https://openalex.org/W3005162187","https://openalex.org/W3010927015","https://openalex.org/W3013440334","https://openalex.org/W3042185889","https://openalex.org/W3093347455","https://openalex.org/W3093499421","https://openalex.org/W3093542802","https://openalex.org/W3105960279","https://openalex.org/W3124557539","https://openalex.org/W3125398343","https://openalex.org/W3128256677","https://openalex.org/W3135521859","https://openalex.org/W3136303516","https://openalex.org/W3137511736","https://openalex.org/W3194504622","https://openalex.org/W3197811315","https://openalex.org/W3199885834","https://openalex.org/W3200288111","https://openalex.org/W4205362681","https://openalex.org/W4205974387","https://openalex.org/W4206211217","https://openalex.org/W4224036449","https://openalex.org/W4229706427","https://openalex.org/W4290713606","https://openalex.org/W4294691695","https://openalex.org/W4313011332","https://openalex.org/W4319302786","https://openalex.org/W4377984109","https://openalex.org/W4382998956"],"related_works":["https://openalex.org/W4293519090","https://openalex.org/W4387108091","https://openalex.org/W3093347455","https://openalex.org/W2056275132","https://openalex.org/W4311216678","https://openalex.org/W4377984109","https://openalex.org/W4413157006","https://openalex.org/W1549192063","https://openalex.org/W4408399684","https://openalex.org/W3113304260"],"abstract_inverted_index":{"A":[0],"series":[1],"of":[2,12,53,64,141,154,208,222,239],"discrete":[3,23,65,95,103,111,120,144],"time-variant":[4,24,66,87,96,101,104,109,112,117,121,126,145],"matrix":[5,67,88,97,106,114,123,146],"inequalities":[6,89,147],"is":[7,41,195],"generally":[8,30],"regarded":[9],"as":[10,150],"one":[11],"the":[13,26,32,36,47,58,91,135,151,186,199,206,218,223,236,240],"challenging":[14],"problems":[15,153],"in":[16],"science":[17],"and":[18,39,61,82,119,128,179,220],"engineering":[19],"fields.":[20],"As":[21],"a":[22],"problem,":[25],"existing":[27],"solving":[28,44,54,85,130,159],"schemes":[29],"need":[31],"theoretical":[33,51,59,212],"support":[34],"under":[35,46,90],"continuous-time":[37,209],"framework,":[38,93],"there":[40],"no":[42],"independent":[43],"scheme":[45,55],"discrete-time":[48,73,92,165],"framework.":[49,210],"The":[50],"deficiency":[52],"greatly":[56],"limits":[57],"research":[60],"practical":[62],"application":[63],"inequalities.":[68],"In":[69],"this":[70],"article,":[71],"new":[72],"recurrent":[74,166],"neural":[75,167],"network":[76,168],"(RNN)":[77,169],"algorithms":[78,171],"are":[79,132,148,183,214,229],"proposed,":[80],"analyzed,":[81],"investigated":[83],"for":[84,158],"different":[86,184],"including":[94],"vector":[98],"inequality":[99,107,115,124],"(discrete":[100,108,116,125],"MVI),":[102],"generalized":[105],"GMI),":[110],"generalized-Sylvester":[113],"GSMI),":[118],"complicated-Sylvester":[122],"CSMI),":[127],"all":[129],"processes":[131],"based":[133],"on":[134],"direct":[136],"discretization":[137],"thought.":[138],"Specifically,":[139],"first":[140],"all,":[142],"four":[143],"presented":[149],"target":[152],"these":[155],"researches.":[156],"Second,":[157],"such":[160],"problems,":[161],"we":[162],"propose":[163],"corresponding":[164],"(DT-RNN)":[170],"(termed":[172],"DT-RNN-MVI":[173],"algorithm,":[174,176,178],"DT-RNN-GMI":[175],"DT-RNN-GSMI":[177],"DT-RNN-CSMI":[180],"algorithm),":[181],"which":[182,216,233],"from":[185],"traditional":[187],"DT-RNN":[188,200,224,241],"design":[189],"thought":[190],"because":[191],"second-order":[192],"Taylor":[193],"expansion":[194],"applied":[196],"to":[197],"derive":[198],"algorithms.":[201,225,242],"This":[202],"creative":[203],"process":[204],"avoids":[205],"intervention":[207],"Then,":[211],"analyses":[213],"presented,":[215],"show":[217],"convergence":[219],"precision":[221],"Abundant":[226],"numerical":[227],"experiments":[228],"further":[230,234],"carried":[231],"out,":[232],"confirm":[235],"excellent":[237],"properties":[238]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2024-04-17T00:00:00"}
