{"id":"https://openalex.org/W4313291307","doi":"https://doi.org/10.1109/tnnls.2022.3230898","title":"Inverse-Free DZNN Models for Solving Time-Dependent Linear System via High-Precision Linear Six-Step Method","display_name":"Inverse-Free DZNN Models for Solving Time-Dependent Linear System via High-Precision Linear Six-Step Method","publication_year":2022,"publication_date":"2022-12-29","ids":{"openalex":"https://openalex.org/W4313291307","doi":"https://doi.org/10.1109/tnnls.2022.3230898","pmid":"https://pubmed.ncbi.nlm.nih.gov/37015638"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3230898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3230898","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":null,"display_name":"Min Yang","orcid":"https://orcid.org/0000-0003-2550-0549"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Yang","raw_affiliation_strings":["School of Robotics, Hunan University, Changsha, China","School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2550-0549","affiliations":[{"raw_affiliation_string":"School of Robotics, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053064477","display_name":"Yunong Zhang","orcid":"https://orcid.org/0000-0002-2228-0395"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4210103524","display_name":"Guangdong Academy of Sciences","ror":"https://ror.org/01g9hkj35","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210103524"]},{"id":"https://openalex.org/I4210142539","display_name":"Guangdong Institute of Intelligent Manufacturing","ror":"https://ror.org/049jpjz09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210142539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","Institute of Intelligent Manufacturing, Guangdong Key Laboratory of Modern Control Technology, Guangdong Academy of Sciences, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2228-0395","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Institute of Intelligent Manufacturing, Guangdong Key Laboratory of Modern Control Technology, Guangdong Academy of Sciences, Guangzhou, China","institution_ids":["https://openalex.org/I4210103524","https://openalex.org/I4210142539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056953478","display_name":"Haifeng Hu","orcid":"https://orcid.org/0000-0002-4884-323X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Hu","raw_affiliation_strings":["School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4884-323X","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3736,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.79517178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"35","issue":"6","first_page":"8597","last_page":"8608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9944000244140625,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9944000244140625,"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":0.9939000010490417,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9937999844551086,"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/discretization","display_name":"Discretization","score":0.7475587129592896},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5615555047988892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5116129517555237},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4836093485355377},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4343373477458954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38622820377349854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38294655084609985},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.376792848110199},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36133506894111633},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3511437475681305},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18319430947303772},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1083606481552124}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7475587129592896},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5615555047988892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5116129517555237},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4836093485355377},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4343373477458954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38622820377349854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38294655084609985},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.376792848110199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36133506894111633},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3511437475681305},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18319430947303772},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1083606481552124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2022.3230898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3230898","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:37015638","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37015638","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/G4228998522","display_name":null,"funder_award_id":"2017A030311029","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G6387825162","display_name":null,"funder_award_id":"61976230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6650138770","display_name":null,"funder_award_id":"531118010815","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8307738215","display_name":null,"funder_award_id":"62076262","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1720109179","https://openalex.org/W2005104409","https://openalex.org/W2055586001","https://openalex.org/W2076420009","https://openalex.org/W2093627685","https://openalex.org/W2097139389","https://openalex.org/W2128084896","https://openalex.org/W2345244325","https://openalex.org/W2515014135","https://openalex.org/W2563073222","https://openalex.org/W2598417513","https://openalex.org/W2794132121","https://openalex.org/W2830950340","https://openalex.org/W2895670123","https://openalex.org/W2897448795","https://openalex.org/W2900351265","https://openalex.org/W2900697371","https://openalex.org/W2912788148","https://openalex.org/W2973166946","https://openalex.org/W2975370440","https://openalex.org/W2985850350","https://openalex.org/W2993688498","https://openalex.org/W2996951424","https://openalex.org/W2999184988","https://openalex.org/W3000197169","https://openalex.org/W3000352647","https://openalex.org/W3003250870","https://openalex.org/W3004562332","https://openalex.org/W3005162187","https://openalex.org/W3046389955","https://openalex.org/W3047576354","https://openalex.org/W3085472435","https://openalex.org/W3095781494","https://openalex.org/W3108449827","https://openalex.org/W3109938142","https://openalex.org/W3119598453","https://openalex.org/W3121297827","https://openalex.org/W3137070820","https://openalex.org/W3153035201","https://openalex.org/W4220779198","https://openalex.org/W4226444607","https://openalex.org/W4247080625"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{"Time-dependent":[0],"linear":[1,60],"system":[2],"(TDLS)":[3],"is":[4,11,38,50,72,115,124,163],"usually":[5],"encountered":[6],"in":[7],"scientific":[8],"research,":[9],"which":[10],"the":[12,65,75,88,91,106,152,167,172,190,193],"mathematical":[13],"formulation":[14],"of":[15,90,154,171,192],"many":[16],"practical":[17,45],"applications.":[18],"Different":[19],"from":[20],"conventional":[21,55,129,135],"inverse-need":[22],"models,":[23],"by":[24],"utilizing":[25],"zeroing":[26],"neural":[27],"network":[28],"(ZNN)":[29],"method":[30,63],"twice,":[31],"an":[32,110],"inverse-free":[33,111],"continuous":[34],"ZNN":[35,113],"(CZNN)":[36],"model":[37,49],"developed":[39],"for":[40,74],"solving":[41],"TDLS.":[42],"For":[43,132],"conveniently":[44],"use,":[46],"a":[47,58,159],"discrete":[48,112,130],"naturally":[51],"desired.":[52],"Superior":[53],"to":[54,86,141,150,165,179,188],"discretization":[56,136],"methods,":[57],"general":[59,92,107],"six-step":[61],"(LSS)":[62],"with":[64,105,128],"seventh-order":[66],"precision":[67,123],"and":[68,117,121,169,182],"five":[69,80],"variable":[70,81],"parameters":[71,82],"proposed":[73,116],"first":[76],"time.":[77],"Constraints":[78],"about":[79],"are":[83,101,138,148,186],"theoretically":[84],"analyzed":[85],"guarantee":[87],"efficacy":[89,153],"LSS":[93,99,108],"method.":[94],"Within":[95],"constraints,":[96],"12":[97],"specific":[98,160],"methods":[100,137],"further":[102],"developed.":[103],"Aided":[104],"method,":[109],"(DZNN)":[114],"termed":[118],"DZNN-LSS":[119,173,194],"model,":[120],"its":[122],"greatly":[125],"improved":[126],"compared":[127],"models.":[131,144,156],"comparison,":[133],"three":[134],"also":[139],"utilized":[140],"generate":[142],"DZNN":[143],"Detailed":[145],"theoretical":[146],"analyses":[147],"provided":[149],"prove":[151],"relevant":[155],"In":[157],"addition,":[158],"TDLS":[161],"example":[162],"considered":[164],"show":[166],"effectiveness":[168],"superiority":[170],"model.":[174,195],"More":[175],"than":[176],"that,":[177],"applications":[178],"manipulator":[180],"control":[181],"sound":[183],"source":[184],"localization":[185],"conducted":[187],"illustrate":[189],"applicability":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
