{"id":"https://openalex.org/W4402580698","doi":"https://doi.org/10.1109/tnnls.2024.3454383","title":"Matrix Neurodynamic Approaches for Rank Minimization: Finite/Fixed-Time Convergence Technique","display_name":"Matrix Neurodynamic Approaches for Rank Minimization: Finite/Fixed-Time Convergence Technique","publication_year":2024,"publication_date":"2024-09-16","ids":{"openalex":"https://openalex.org/W4402580698","doi":"https://doi.org/10.1109/tnnls.2024.3454383","pmid":"https://pubmed.ncbi.nlm.nih.gov/39283784"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3454383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3454383","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/A5100437827","display_name":"Meng Zhang","orcid":"https://orcid.org/0000-0003-4935-4005"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhang","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China","College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001504963","display_name":"Xing He","orcid":"https://orcid.org/0000-0001-8652-8479"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing He","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China","College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-8652-8479","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]},{"id":"https://openalex.org/I4210152380","display_name":"Shenzhen Technology University","ror":"https://ror.org/04qzpec27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152380"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210152380","https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5431,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66156745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"36","issue":"7","first_page":"12747","last_page":"12757"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9860000014305115,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9860000014305115,"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":0.9764000177383423,"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9732000231742859,"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/minification","display_name":"Minification","score":0.6303640604019165},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6151065826416016},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6049462556838989},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5868997573852539},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5848193764686584},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5004847049713135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48773035407066345},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.481440007686615},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.4738388657569885},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4428788423538208},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.41036373376846313},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37188148498535156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3628084659576416},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17219197750091553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13079839944839478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09707772731781006},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.054707348346710205},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.05407947301864624}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6303640604019165},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6151065826416016},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6049462556838989},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5868997573852539},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5848193764686584},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5004847049713135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48773035407066345},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.481440007686615},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.4738388657569885},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4428788423538208},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.41036373376846313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37188148498535156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3628084659576416},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17219197750091553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13079839944839478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09707772731781006},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.054707348346710205},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.05407947301864624},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3454383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3454383","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:39283784","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39283784","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/G1637804202","display_name":null,"funder_award_id":"CSTB2023NSCQ-LZX0135","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"},{"id":"https://openalex.org/G3361839962","display_name":null,"funder_award_id":"XDJK2020TY003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6741639725","display_name":null,"funder_award_id":"62176218","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/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"},{"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":36,"referenced_works":["https://openalex.org/W171912620","https://openalex.org/W1916337001","https://openalex.org/W1966096622","https://openalex.org/W1988837728","https://openalex.org/W1991090855","https://openalex.org/W1994389483","https://openalex.org/W2011359124","https://openalex.org/W2015113370","https://openalex.org/W2050745689","https://openalex.org/W2054443446","https://openalex.org/W2064980127","https://openalex.org/W2078325020","https://openalex.org/W2103972604","https://openalex.org/W2109240917","https://openalex.org/W2119412403","https://openalex.org/W2124608575","https://openalex.org/W2129131372","https://openalex.org/W2134332047","https://openalex.org/W2278138779","https://openalex.org/W2512213236","https://openalex.org/W2752388197","https://openalex.org/W2921396149","https://openalex.org/W2934255510","https://openalex.org/W2995650332","https://openalex.org/W3012039773","https://openalex.org/W3032869534","https://openalex.org/W3134023108","https://openalex.org/W3149852514","https://openalex.org/W3174814448","https://openalex.org/W4206120861","https://openalex.org/W4210971818","https://openalex.org/W4321793606","https://openalex.org/W4387885785","https://openalex.org/W4390837190","https://openalex.org/W6634173106","https://openalex.org/W6703697878"],"related_works":["https://openalex.org/W2106005123","https://openalex.org/W2964006653","https://openalex.org/W2788826952","https://openalex.org/W2084983808","https://openalex.org/W1991825408","https://openalex.org/W3144354057","https://openalex.org/W4318564253","https://openalex.org/W4302315572","https://openalex.org/W1969698720","https://openalex.org/W1507830821"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"two":[3,24,103,133],"innovative":[4],"matrix":[5,20],"neurodynamic":[6],"approaches":[7,42,64,104,126],"(MNAs)":[8],"designed":[9],"to":[10,45,66],"tackle":[11],"the":[12,19,40,47,62,67,79,93,102,106,119,124,129],"rank":[13],"minimization":[14],"problem.":[15],"First,":[16],"by":[17],"introducing":[18],"norm-normalized":[21],"sign":[22],"function,":[23],"variants":[25],"of":[26,51,95,123],"MNA":[27,32,37,131],"are":[28,43,82],"developed:":[29],"finite-time":[30,85],"converging":[31,36],"(FINt-MNA)":[33],"and":[34,49,53,72,86,113,121,132],"fixed-time":[35,87],"(FIXt-MNA).":[38],"Then,":[39],"proposed":[41,63,125],"shown":[44],"guarantee":[46],"existence":[48],"uniqueness":[50],"solutions,":[52],"based":[54],"on":[55,78,98],"Lyapunov":[56],"analysis,":[57],"it":[58],"is":[59],"demonstrated":[60],"that":[61],"converge":[65],"optimal":[68],"solution":[69],"within":[70],"FINt":[71],"FIXt.":[73],"In":[74],"addition,":[75],"upper":[76],"bounds":[77,100],"settling":[80],"time":[81],"determined":[83],"using":[84],"lemmas,":[88],"with":[89,128],"subsequent":[90],"analysis":[91],"examining":[92],"influence":[94],"tunable":[96],"parameters":[97],"these":[99],"for":[101],"through":[105],"control":[107],"variable":[108],"method.":[109],"Finally,":[110],"numerical":[111],"examples":[112],"an":[114],"image":[115],"completion":[116],"experiment":[117],"confirm":[118],"effectiveness":[120],"superiority":[122],"compared":[127],"existing":[130],"classical":[134],"approaches.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}