{"id":"https://openalex.org/W2965637422","doi":"https://doi.org/10.1109/tsmc.2019.2930646","title":"New Noise-Tolerant ZNN Models With Predefined-Time Convergence for Time-Variant Sylvester Equation Solving","display_name":"New Noise-Tolerant ZNN Models With Predefined-Time Convergence for Time-Variant Sylvester Equation Solving","publication_year":2019,"publication_date":"2019-08-06","ids":{"openalex":"https://openalex.org/W2965637422","doi":"https://doi.org/10.1109/tsmc.2019.2930646","mag":"2965637422"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2930646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2930646","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repository.essex.ac.uk/28650/1/mancyber.pdf","any_repository_has_fulltext":true},"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":true,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China"],"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/A5100374670","display_name":"Yongsheng Zhang","orcid":"https://orcid.org/0000-0002-4923-8701"},"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":"Yongsheng Zhang","raw_affiliation_strings":["College of Information Science and Engineering, Jishou University, Jishou, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Jishou University, Jishou, China","institution_ids":["https://openalex.org/I144581915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070031719","display_name":"Jianhua Dai","orcid":"https://orcid.org/0000-0003-1459-0833"},"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":"Jianhua Dai","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China"],"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/A5101749056","display_name":"Jichun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I874055015","display_name":"Teesside University","ror":"https://ror.org/03z28gk75","country_code":"GB","type":"education","lineage":["https://openalex.org/I874055015"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jichun Li","raw_affiliation_strings":["School of Science, Engineering and Design, Teesside University, Middlesbrough, U.K"],"affiliations":[{"raw_affiliation_string":"School of Science, Engineering and Design, Teesside University, Middlesbrough, U.K","institution_ids":["https://openalex.org/I874055015"]}]},{"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/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Weibing Li","raw_affiliation_strings":["Chow Yuk Ho Technology Centre for Innovative Medicine, Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Chow Yuk Ho Technology Centre for Innovative Medicine, Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005130812"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":4.38,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.94815032,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"51","issue":"6","first_page":"3629","last_page":"3640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9980999827384949,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/sylvester-equation","display_name":"Sylvester equation","score":0.7574516534805298},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.753873348236084},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5731990337371826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5667434334754944},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4956446886062622},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4922093451023102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46022161841392517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3998970091342926},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3609057664871216},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3608393669128418},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2082194685935974},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1009664237499237}],"concepts":[{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.7574516534805298},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.753873348236084},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5731990337371826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5667434334754944},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4956446886062622},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4922093451023102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46022161841392517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3998970091342926},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3609057664871216},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3608393669128418},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2082194685935974},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1009664237499237},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsmc.2019.2930646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2930646","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:https://research.tees.ac.uk/ws/oai:openaire/8b73b9ec-6c95-441a-90a2-c7648ad9820e","is_oa":false,"landing_page_url":"https://research.tees.ac.uk/en/publications/8b73b9ec-6c95-441a-90a2-c7648ad9820e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401198","display_name":"TeesRep (Teesside University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I874055015","host_organization_name":"Teesside University","host_organization_lineage":["https://openalex.org/I874055015"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Xiao, L, Zhang, Y, Dai, J, Li, J & Li, W 2019, 'New Noise-Tolerant ZNN Models With Predefined-Time Convergence for Time-Variant Sylvester Equation Solving', IEEE Transactions on Systems, Man, and Cybernetics: Systems. https://doi.org/10.1109/TSMC.2019.2930646","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:repository.essex.ac.uk:28650","is_oa":true,"landing_page_url":null,"pdf_url":"http://repository.essex.ac.uk/28650/1/mancyber.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:pure.atira.dk:publications/8b73b9ec-6c95-441a-90a2-c7648ad9820e","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/document/8787879/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402475","display_name":"Teesside University Research Portal (Teesside University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I874055015","host_organization_name":"Teesside University","host_organization_lineage":["https://openalex.org/I874055015"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:repository.essex.ac.uk:28650","is_oa":true,"landing_page_url":null,"pdf_url":"http://repository.essex.ac.uk/28650/1/mancyber.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1991401205","display_name":null,"funder_award_id":"18A289","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G3587019085","display_name":null,"funder_award_id":"61503152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5166635775","display_name":null,"funder_award_id":"61866013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5589879722","display_name":null,"funder_award_id":"61563017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6367171472","display_name":null,"funder_award_id":"2018RS3065","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6543606576","display_name":null,"funder_award_id":"JGY201926","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6633472649","display_name":null,"funder_award_id":"2018TP1018","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6763626649","display_name":null,"funder_award_id":"2016JJ2101","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6806792462","display_name":null,"funder_award_id":"61473259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8303539496","display_name":null,"funder_award_id":"2019JJ50478","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2965637422.pdf"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1972652206","https://openalex.org/W1973446088","https://openalex.org/W1973485705","https://openalex.org/W1979278406","https://openalex.org/W1985463596","https://openalex.org/W2010411578","https://openalex.org/W2020865399","https://openalex.org/W2054589892","https://openalex.org/W2054689585","https://openalex.org/W2060446060","https://openalex.org/W2061619613","https://openalex.org/W2074678431","https://openalex.org/W2081128548","https://openalex.org/W2088748973","https://openalex.org/W2130317597","https://openalex.org/W2138844572","https://openalex.org/W2150271909","https://openalex.org/W2155519618","https://openalex.org/W2192374652","https://openalex.org/W2198164043","https://openalex.org/W2288474197","https://openalex.org/W2344929049","https://openalex.org/W2461045134","https://openalex.org/W2544081764","https://openalex.org/W2563356115","https://openalex.org/W2600111037","https://openalex.org/W2601523814","https://openalex.org/W2609869589","https://openalex.org/W2617967709","https://openalex.org/W2622727889","https://openalex.org/W2696256157","https://openalex.org/W2746282094","https://openalex.org/W2772861103","https://openalex.org/W2793953252","https://openalex.org/W2794132121","https://openalex.org/W2803759966","https://openalex.org/W2806365404","https://openalex.org/W2888103493","https://openalex.org/W2895670123","https://openalex.org/W2898371340","https://openalex.org/W2911281195","https://openalex.org/W2911835134","https://openalex.org/W2915648089","https://openalex.org/W2934060014","https://openalex.org/W2936973782","https://openalex.org/W2941887520","https://openalex.org/W2945488196"],"related_works":["https://openalex.org/W2036701498","https://openalex.org/W2073638342","https://openalex.org/W4292477005","https://openalex.org/W1973485705","https://openalex.org/W2770593030","https://openalex.org/W164635808","https://openalex.org/W4286366038","https://openalex.org/W2556076750","https://openalex.org/W3154990682","https://openalex.org/W1597114477"],"abstract_inverted_index":{"Sylvester":[0,38,86,175],"equation":[1,39,87],"is":[2],"often":[3],"applied":[4,168],"to":[5,15,33,49,78,169],"various":[6,92,128],"fields,":[7],"such":[8],"as":[9,22],"mathematics":[10],"and":[11,58,120,139],"control":[12],"systems":[13],"due":[14],"its":[16,60],"importance.":[17],"Zeroing":[18],"neural":[19],"network":[20],"(ZNN),":[21],"a":[23],"systematic":[24],"design":[25],"method":[26],"for":[27,142],"time-variant":[28,85,174],"problems,":[29],"has":[30],"been":[31],"proved":[32],"be":[34],"effective":[35],"on":[36],"solving":[37],"in":[40,47,88,124],"the":[41,51,55,80,84,89,95,103,116,125,131,136,143,159,163,173],"ideal":[42],"conditions.":[43],"In":[44],"this":[45],"paper,":[46],"order":[48],"realize":[50],"predefined-time":[52,118,137],"convergence":[53,119,138],"of":[54,83,91,127,135,152,162,172],"ZNN":[56,97],"model":[57],"modify":[59],"robustness,":[61],"two":[62,71,105,111],"new":[63],"noise-tolerant":[64],"ZNNs":[65],"(NNTZNNs)":[66],"are":[67,108,146],"established":[68],"by":[69,100,110,148],"devising":[70],"novelly":[72],"constructed":[73],"nonlinear":[74],"activation":[75],"functions":[76],"(AFs)":[77],"find":[79],"accurate":[81],"solution":[82,171],"presence":[90,126],"noises.":[93,129,153],"Unlike":[94],"original":[96],"models":[98,107,145],"activated":[99,109],"known":[101],"AFs,":[102,113],"proposed":[104,164],"NNTZNN":[106,144,165],"novel":[112],"therefore,":[114],"possessing":[115],"excellent":[117,160],"strong":[121],"robustness":[122,140],"even":[123],"Besides,":[130],"detailed":[132],"theoretical":[133],"analyses":[134],"ability":[141],"given":[147],"considering":[149],"different":[150],"kinds":[151],"Simulation":[154],"comparative":[155],"results":[156],"further":[157],"verify":[158],"performance":[161],"models,":[166],"when":[167],"online":[170],"equation.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}