{"id":"https://openalex.org/W3030206115","doi":"https://doi.org/10.1109/tnnls.2020.2995396","title":"Unified Model Solving Nine Types of Time-Varying Problems in the Frame of Zeroing Neural Network","display_name":"Unified Model Solving Nine Types of Time-Varying Problems in the Frame of Zeroing Neural Network","publication_year":2020,"publication_date":"2020-06-02","ids":{"openalex":"https://openalex.org/W3030206115","doi":"https://doi.org/10.1109/tnnls.2020.2995396","mag":"3030206115","pmid":"https://pubmed.ncbi.nlm.nih.gov/32484780"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2020.2995396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2020.2995396","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,"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"},"type":"article","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/A5100710279","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-1033-842X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038110519","display_name":"Yang Shi","orcid":"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, Yangzhou University, Yangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037445911","display_name":"Hejun Xuan","orcid":null},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hejun Xuan","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100710279"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":null,"apc_paid":null,"fwci":3.5617,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92962291,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"32","issue":"5","first_page":"1896","last_page":"1905"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.996399998664856,"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":0.996399998664856,"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/T13579","display_name":"Image and Video Stabilization","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11749","display_name":"Iterative Learning Control Systems","score":0.982200026512146,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6084370613098145},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5938045978546143},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5619081854820251},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4941144287586212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4870746433734894},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4840056598186493},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4801611304283142},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47296565771102905},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4149523377418518},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4074517488479614},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3875671923160553},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2771402597427368},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15030086040496826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12108263373374939},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07772433757781982}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6084370613098145},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5938045978546143},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5619081854820251},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4941144287586212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4870746433734894},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4840056598186493},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4801611304283142},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47296565771102905},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4149523377418518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4074517488479614},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3875671923160553},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2771402597427368},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15030086040496826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12108263373374939},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07772433757781982},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/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.2020.2995396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2020.2995396","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,"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:32484780","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32484780","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,"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":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W76314153","https://openalex.org/W280536263","https://openalex.org/W582175795","https://openalex.org/W605390454","https://openalex.org/W1976220104","https://openalex.org/W1979289676","https://openalex.org/W1981824673","https://openalex.org/W2002352814","https://openalex.org/W2012167011","https://openalex.org/W2019414763","https://openalex.org/W2022158576","https://openalex.org/W2029781456","https://openalex.org/W2069027027","https://openalex.org/W2164342016","https://openalex.org/W2298552880","https://openalex.org/W2343113774","https://openalex.org/W2467979783","https://openalex.org/W2543670241","https://openalex.org/W2591194352","https://openalex.org/W2601174671","https://openalex.org/W2605564896","https://openalex.org/W2606424905","https://openalex.org/W2606681432","https://openalex.org/W2609501133","https://openalex.org/W2622727889","https://openalex.org/W2697309248","https://openalex.org/W2757501936","https://openalex.org/W2762047082","https://openalex.org/W2779147390","https://openalex.org/W2781841050","https://openalex.org/W2883844658","https://openalex.org/W2886671785","https://openalex.org/W2889005814","https://openalex.org/W2900063692","https://openalex.org/W2900351265","https://openalex.org/W2900697371","https://openalex.org/W2910901527","https://openalex.org/W2963883882","https://openalex.org/W4247080625","https://openalex.org/W4297730105","https://openalex.org/W6737145779"],"related_works":["https://openalex.org/W2356711818","https://openalex.org/W2734993473","https://openalex.org/W4324118942","https://openalex.org/W2913057782","https://openalex.org/W2185064329","https://openalex.org/W2187229407","https://openalex.org/W3092201954","https://openalex.org/W3030201206","https://openalex.org/W2059909660","https://openalex.org/W2734242255"],"abstract_inverted_index":{"Many":[0],"time-varying":[1,22,25,29,33,41,45,53,57,61,66,80,98,116],"problems":[2,81,117],"have":[3],"been":[4],"solved":[5],"using":[6],"the":[7,73,86,92,106,119,136,144,149],"zeroing":[8,76,109],"neural":[9,110],"network":[10,111],"proposed":[11,104,150],"by":[12,84],"Zhang":[13],"et":[14],"al.":[15],"In":[16],"this":[17],"article,":[18],"nine":[19],"types":[20],"of":[21,75,88,94,108,121,139,148],"problems,":[23],"namely":[24],"nonlinear":[26,35,43,58],"equation":[27,31],"system,":[28,32,60,64],"linear":[30,38,50,62],"convex":[34,42,46,54],"optimization":[36],"under":[37,49],"equalities,":[39,51],"unconstrained":[40,52],"optimization,":[44],"quadratic":[47,55],"programming":[48],"programming,":[56],"inequality":[59,63],"and":[65,91,124,132,146],"division,":[67],"are":[68,82],"investigated":[69],"to":[70,112],"better":[71],"understand":[72],"essence":[74],"neutral":[77],"network.":[78],"Discrete-form":[79],"studied":[83],"considering":[85],"nature":[87],"unknown":[89],"future":[90],"requirement":[93],"real-time":[95],"computation":[96],"for":[97],"problems.":[99],"A":[100],"unified":[101,151],"model":[102],"is":[103],"in":[105],"frame":[107],"uniformly":[113],"solve":[114],"these":[115],"on":[118],"basis":[120],"their":[122],"connections":[123],"a":[125],"newly":[126],"developed":[127],"discretization":[128],"formula.":[129],"Theoretical":[130],"analyses":[131],"numerical":[133],"experiments,":[134],"including":[135],"tracking":[137],"control":[138],"PUMA560":[140],"robot":[141],"manipulator,":[142],"verify":[143],"effectiveness":[145],"precision":[147],"model.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}