{"id":"https://openalex.org/W2801420010","doi":"https://doi.org/10.1109/tcyb.2018.2818747","title":"Two New Discrete-Time Neurodynamic Algorithms Applied to Online Future Matrix Inversion With Nonsingular or Sometimes-Singular Coefficient","display_name":"Two New Discrete-Time Neurodynamic Algorithms Applied to Online Future Matrix Inversion With Nonsingular or Sometimes-Singular Coefficient","publication_year":2018,"publication_date":"2018-04-13","ids":{"openalex":"https://openalex.org/W2801420010","doi":"https://doi.org/10.1109/tcyb.2018.2818747","mag":"2801420010","pmid":"https://pubmed.ncbi.nlm.nih.gov/29993939"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2818747","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2818747","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5029739746","display_name":"Binbin Qiu","orcid":"https://orcid.org/0000-0002-9932-3306"},"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":true,"raw_author_name":"Binbin Qiu","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China"],"affiliations":[{"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/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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunong Zhang","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029739746"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":5.3341,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.96138281,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"49","issue":"6","first_page":"2032","last_page":"2045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9991999864578247,"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":0.9991999864578247,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9983000159263611,"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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9980000257492065,"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/invertible-matrix","display_name":"Invertible matrix","score":0.8723800182342529},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7297855615615845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6198232769966125},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5887951850891113},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5544911623001099},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49987363815307617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49768689274787903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.460616797208786},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4556236267089844},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.44773241877555847},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43413984775543213},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.41327065229415894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3393579423427582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22090044617652893},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20489585399627686},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15351593494415283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0983518660068512}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.8723800182342529},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7297855615615845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6198232769966125},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5887951850891113},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5544911623001099},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49987363815307617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49768689274787903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.460616797208786},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4556236267089844},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.44773241877555847},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43413984775543213},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.41327065229415894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3393579423427582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22090044617652893},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20489585399627686},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15351593494415283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0983518660068512},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2018.2818747","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2818747","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:29993939","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29993939","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"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"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W76314153","https://openalex.org/W605153442","https://openalex.org/W949575934","https://openalex.org/W1484998028","https://openalex.org/W1628239836","https://openalex.org/W1966895347","https://openalex.org/W1976220104","https://openalex.org/W1986024064","https://openalex.org/W1988233868","https://openalex.org/W1996099152","https://openalex.org/W1997270899","https://openalex.org/W2007178709","https://openalex.org/W2008469623","https://openalex.org/W2010194391","https://openalex.org/W2010411578","https://openalex.org/W2011655808","https://openalex.org/W2029781456","https://openalex.org/W2051385641","https://openalex.org/W2055586001","https://openalex.org/W2072223610","https://openalex.org/W2072627105","https://openalex.org/W2074739448","https://openalex.org/W2077400379","https://openalex.org/W2093627685","https://openalex.org/W2098878508","https://openalex.org/W2102227134","https://openalex.org/W2107383972","https://openalex.org/W2108186760","https://openalex.org/W2118370756","https://openalex.org/W2128171517","https://openalex.org/W2129290779","https://openalex.org/W2130317597","https://openalex.org/W2133702739","https://openalex.org/W2138244240","https://openalex.org/W2138594241","https://openalex.org/W2145238401","https://openalex.org/W2154410492","https://openalex.org/W2160361732","https://openalex.org/W2164136313","https://openalex.org/W2198639552","https://openalex.org/W2273476706","https://openalex.org/W2291041537","https://openalex.org/W2293719789","https://openalex.org/W2294523321","https://openalex.org/W2315651828","https://openalex.org/W2344053498","https://openalex.org/W2350066278","https://openalex.org/W2372306012","https://openalex.org/W2463012321","https://openalex.org/W2482430271","https://openalex.org/W2490234001","https://openalex.org/W2490929093","https://openalex.org/W2492010876","https://openalex.org/W2493842963","https://openalex.org/W2521872058","https://openalex.org/W2526569657","https://openalex.org/W2584604366","https://openalex.org/W2588223713","https://openalex.org/W2591194352","https://openalex.org/W2598417513","https://openalex.org/W2609869589","https://openalex.org/W2623064590","https://openalex.org/W2626801459","https://openalex.org/W2696256157","https://openalex.org/W2716009774","https://openalex.org/W2746104099","https://openalex.org/W2756410127","https://openalex.org/W2766228189","https://openalex.org/W3003821699","https://openalex.org/W3121554115","https://openalex.org/W4247080625","https://openalex.org/W4405245514"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W4251428025","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W2784467519","https://openalex.org/W4289867043","https://openalex.org/W1864774435","https://openalex.org/W4388297597","https://openalex.org/W4253928278","https://openalex.org/W2051269960"],"abstract_inverted_index":{"In":[0,97],"this":[1,108],"paper,":[2],"a":[3,22,60,132],"high-precision":[4],"general":[5,55],"discretization":[6,57],"formula":[7,23,63],"using":[8],"six":[9],"time":[10,169],"instants":[11],"is":[12,24,64,164],"first":[13],"proposed":[14,88,146],"to":[15,26,99,127,138,161],"approximate":[16],"the":[17,39,54,101,106,111,115,128,145,158],"first-order":[18],"derivative.":[19],"Then,":[20],"such":[21],"studied":[25],"discretize":[27],"two":[28,68,120],"continuous-time":[29],"neurodynamic":[30,40,71,77,84],"models,":[31],"both":[32],"of":[33,105,114,131,144],"which":[34],"are":[35,87,136],"derived":[36],"by":[37],"applying":[38],"approaches":[41],"based":[42],"on":[43],"neural":[44],"networks":[45],"(i.e.,":[46],"zeroing":[47,76],"neurodynamics":[48],"and":[49,80,89,142,149],"gradient":[50,83],"neurodynamics).":[51],"Originating":[52],"from":[53],"six-instant":[56],"(6ID)":[58],"formula,":[59],"specific":[61],"6ID":[62],"further":[65],"presented.":[66],"Subsequently,":[67],"new":[69],"discrete-time":[70,75,82],"algorithms,":[72],"i.e.,":[73],"6ID-type":[74,81,147],"(DTZN)":[78],"algorithm":[79],"(DTGN)":[85],"algorithm,":[86],"investigated":[90],"for":[91,117,152],"online":[92],"future":[93],"matrix":[94,160],"inversion":[95],"(OFMI).":[96],"addition":[98],"analyzing":[100],"usual":[102],"nonsingular":[103],"situation":[104,113],"coefficient,":[107],"paper":[109],"investigates":[110],"sometimes-singular":[112,167],"coefficient":[116,159],"OFMI.":[118],"Finally,":[119],"illustrative":[121],"numerical":[122],"examples,":[123],"including":[124],"an":[125],"application":[126],"inverse-kinematic":[129],"control":[130],"PUMA560":[133],"robot":[134],"manipulator,":[135],"provided":[137],"show":[139],"respective":[140],"characteristics":[141],"advantages":[143],"DTZN":[148],"DTGN":[150],"algorithms":[151],"OFMI":[153],"in":[154],"different":[155],"situations,":[156],"where":[157],"be":[162],"inverted":[163],"always-nonsingular":[165],"or":[166],"during":[168],"evolution.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}