{"id":"https://openalex.org/W2344929049","doi":"https://doi.org/10.1109/tnnls.2015.2497715","title":"Integration-Enhanced Zhang Neural Network for Real-Time-Varying Matrix Inversion in the Presence of Various Kinds of Noises","display_name":"Integration-Enhanced Zhang Neural Network for Real-Time-Varying Matrix Inversion in the Presence of Various Kinds of Noises","publication_year":2015,"publication_date":"2015-11-23","ids":{"openalex":"https://openalex.org/W2344929049","doi":"https://doi.org/10.1109/tnnls.2015.2497715","mag":"2344929049","pmid":"https://pubmed.ncbi.nlm.nih.gov/26625426"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2015.2497715","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2497715","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/A5100703636","display_name":"Long Jin","orcid":"https://orcid.org/0000-0002-5329-5098"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"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/I4210129003","display_name":"SYSU-CMU International Joint Research Institute","ror":"https://ror.org/02w30ae27","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210129003"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Jin","raw_affiliation_strings":["Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, China","SYSU\u2013Carnegie Mellon University (CMU) Shunde International Joint Research Institute, Shunde, China","School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"SYSU\u2013Carnegie Mellon University (CMU) Shunde International Joint Research Institute, Shunde, China","institution_ids":["https://openalex.org/I157773358","https://openalex.org/I4210129003"]},{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University (SYSU), 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/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"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/I4210129003","display_name":"SYSU-CMU International Joint Research Institute","ror":"https://ror.org/02w30ae27","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210129003"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, China","SYSU\u2013Carnegie Mellon University (CMU) Shunde International Joint Research Institute, Shunde, China","School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"SYSU\u2013Carnegie Mellon University (CMU) Shunde International Joint Research Institute, Shunde, China","institution_ids":["https://openalex.org/I157773358","https://openalex.org/I4210129003"]},{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100424064","display_name":"Shuai Li","orcid":"https://orcid.org/0000-0001-8316-5289"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Shuai Li","raw_affiliation_strings":["Department of Computing, The Hong Kong Polytechnic University, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, The Hong Kong Polytechnic University, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.8334,"has_fulltext":false,"cited_by_count":276,"citation_normalized_percentile":{"value":0.99101157,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"27","issue":"12","first_page":"2615","last_page":"2627"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9958000183105469,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9873999953269958,"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/inversion","display_name":"Inversion (geology)","score":0.6882118582725525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5934931039810181},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5202635526657104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5119582414627075},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5035774111747742},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44877469539642334},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32050594687461853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2825852632522583},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2530050277709961}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6882118582725525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5934931039810181},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5202635526657104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5119582414627075},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5035774111747742},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44877469539642334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32050594687461853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2825852632522583},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2530050277709961},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2015.2497715","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2015.2497715","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:26625426","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26625426","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},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/64478","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/64478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1977952302","display_name":null,"funder_award_id":"G.61.37.UA7L","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G4443364881","display_name":null,"funder_award_id":"61473323","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7441152539","display_name":null,"funder_award_id":"61401385","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/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1500564636","https://openalex.org/W1980081495","https://openalex.org/W1983001233","https://openalex.org/W1988901237","https://openalex.org/W1994947552","https://openalex.org/W1997270899","https://openalex.org/W2002352814","https://openalex.org/W2003162446","https://openalex.org/W2004771101","https://openalex.org/W2007178709","https://openalex.org/W2010411578","https://openalex.org/W2011703186","https://openalex.org/W2013635942","https://openalex.org/W2014530379","https://openalex.org/W2039617089","https://openalex.org/W2041364558","https://openalex.org/W2044037622","https://openalex.org/W2048506187","https://openalex.org/W2051521886","https://openalex.org/W2056904916","https://openalex.org/W2060630644","https://openalex.org/W2065894561","https://openalex.org/W2074739448","https://openalex.org/W2087042989","https://openalex.org/W2130317597","https://openalex.org/W2132552866","https://openalex.org/W2133702739","https://openalex.org/W2138430352","https://openalex.org/W2138594241","https://openalex.org/W2139363317","https://openalex.org/W2139868241","https://openalex.org/W2142572589","https://openalex.org/W2145597386","https://openalex.org/W2198164043","https://openalex.org/W2482430271","https://openalex.org/W6672254529"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W1980470275","https://openalex.org/W2086322839","https://openalex.org/W2383646825","https://openalex.org/W2344971351","https://openalex.org/W2371018915","https://openalex.org/W2363509351","https://openalex.org/W2377084220","https://openalex.org/W1990581988"],"abstract_inverted_index":{"Matrix":[0],"inversion":[1,15,44,71,170],"often":[2],"arises":[3],"in":[4,45,136],"the":[5,19,28,34,41,59,78,103,108,125,130,137,144,157,163,167,176,182,186,209,224,229],"fields":[6],"of":[7,24,61,139,142,166,185,214,228],"science":[8],"and":[9,47,96,107,115,181,197,220,226],"engineering.":[10],"Many":[11],"models":[12],"for":[13,40,50,68,98,117,194,233],"matrix":[14,43,70,100,169,235],"usually":[16],"assume":[17],"that":[18,27,72,124],"solving":[20],"process":[21],"is":[22,38,73,80,93,148],"free":[23],"noises":[25,79,196],"or":[26],"denoising":[29],"has":[30,129],"been":[31],"conducted":[32],"before":[33],"computation.":[35,63],"However,":[36],"time":[37],"precious":[39],"real-time-varying":[42,99,234],"practice,":[46],"any":[48],"preprocessing":[49],"noise":[51,179],"reduction":[52],"may":[53],"consume":[54],"extra":[55],"time,":[56],"possibly":[57],"violating":[58],"requirement":[60],"real-time":[62],"Therefore,":[64],"a":[65,215],"new":[66],"model":[67,92,106,112,128,147,160,189,232],"time-varying":[69,168,195],"able":[74],"to":[75,150,162,208,222],"handle":[76],"simultaneously":[77],"urgently":[81],"needed.":[82],"In":[83,119],"this":[84],"paper,":[85],"an":[86,152,206],"integration-enhanced":[87],"Zhang":[88],"neural":[89,110],"network":[90,111],"(IEZNN)":[91],"first":[94],"proposed":[95,126,145,158,187,230],"investigated":[97],"inversion.":[101,236],"Then,":[102],"conventional":[104],"ZNN":[105],"gradient":[109],"are":[113,218],"presented":[114],"employed":[116],"comparison.":[118],"addition,":[120],"theoretical":[121,164],"analyses":[122],"show":[123],"IEZNN":[127,146,159,188,231],"global":[131],"exponential":[132],"convergence":[133],"property.":[134],"Moreover,":[135],"presence":[138],"various":[140],"kinds":[141],"noises,":[143],"proven":[149],"have":[151],"improved":[153],"performance.":[154],"That":[155],"is,":[156,180],"converges":[161],"solution":[165],"problem":[171],"no":[172],"matter":[173],"how":[174],"large":[175],"matrix-form":[177],"constant":[178],"residual":[183],"errors":[184],"can":[190],"be":[191],"arbitrarily":[192],"small":[193],"random":[198],"noises.":[199],"Finally,":[200],"three":[201],"illustrative":[202],"simulation":[203],"examples,":[204],"including":[205],"application":[207],"inverse":[210],"kinematic":[211],"motion":[212],"planning":[213],"robot":[216],"manipulator,":[217],"provided":[219],"analyzed":[221],"substantiate":[223],"efficacy":[225],"superiority":[227]},"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":30},{"year":2024,"cited_by_count":24},{"year":2023,"cited_by_count":32},{"year":2022,"cited_by_count":31},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":25},{"year":2019,"cited_by_count":42},{"year":2018,"cited_by_count":20},{"year":2017,"cited_by_count":28},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}