{"id":"https://openalex.org/W2963694961","doi":"https://doi.org/10.1109/tii.2019.2929055","title":"Noise-Tolerant and Finite-Time Convergent ZNN Models for Dynamic Matrix Moore\u2013Penrose Inversion","display_name":"Noise-Tolerant and Finite-Time Convergent ZNN Models for Dynamic Matrix Moore\u2013Penrose Inversion","publication_year":2019,"publication_date":"2019-07-17","ids":{"openalex":"https://openalex.org/W2963694961","doi":"https://doi.org/10.1109/tii.2019.2929055","mag":"2963694961"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2019.2929055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2929055","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5054827762","display_name":"Zhiguo Tan","orcid":"https://orcid.org/0000-0002-9450-9777"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiguo Tan","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005130812","display_name":"Lin Xiao","orcid":"https://orcid.org/0000-0003-3172-3490"},"institutions":[{"id":"https://openalex.org/I3130607311","display_name":"Changsha Normal University","ror":"https://ror.org/02sqk3z62","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130607311"]},{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["College of Information Science and Engineering, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I3130607311","https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072793738","display_name":"Siyuan Chen","orcid":"https://orcid.org/0000-0002-3980-6779"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyuan Chen","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101612134","display_name":"Xuanjiao Lv","orcid":"https://orcid.org/0009-0000-4684-9788"},"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":"Xuanjiao Lv","raw_affiliation_strings":["Nanfang College of Sun Yat-Sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Nanfang College of Sun Yat-Sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054827762"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":7.5374,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.96911197,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"16","issue":"3","first_page":"1591","last_page":"1601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9937000274658203,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9883999824523926,"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/inverse","display_name":"Inverse","score":0.6154736280441284},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5124371647834778},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4887969195842743},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4569883346557617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4454798400402069},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44427937269210815},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4274210035800934},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41945913434028625},{"id":"https://openalex.org/keywords/moore\u2013penrose-pseudoinverse","display_name":"Moore\u2013Penrose pseudoinverse","score":0.41773465275764465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39265745878219604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3878030776977539},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19007426500320435}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6154736280441284},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5124371647834778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4887969195842743},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4569883346557617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4454798400402069},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44427937269210815},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4274210035800934},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41945913434028625},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.41773465275764465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39265745878219604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3878030776977539},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19007426500320435},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":1,"locations":[{"id":"doi:10.1109/tii.2019.2929055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2929055","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1991401205","display_name":null,"funder_award_id":"18A289","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G3587019085","display_name":null,"funder_award_id":"61503152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5166635775","display_name":null,"funder_award_id":"61866013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8303539496","display_name":null,"funder_award_id":"2019JJ50478","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1619560412","https://openalex.org/W1628239836","https://openalex.org/W1973323485","https://openalex.org/W1973446088","https://openalex.org/W1991065962","https://openalex.org/W2005104409","https://openalex.org/W2034514780","https://openalex.org/W2034877773","https://openalex.org/W2052528893","https://openalex.org/W2055576996","https://openalex.org/W2061490701","https://openalex.org/W2072223610","https://openalex.org/W2073554986","https://openalex.org/W2080532287","https://openalex.org/W2085543388","https://openalex.org/W2098415994","https://openalex.org/W2110518784","https://openalex.org/W2261586655","https://openalex.org/W2344929049","https://openalex.org/W2507688253","https://openalex.org/W2595448953","https://openalex.org/W2606424905","https://openalex.org/W2696256157","https://openalex.org/W2716009774","https://openalex.org/W2735252596","https://openalex.org/W2791809365","https://openalex.org/W2791994602","https://openalex.org/W2792469261","https://openalex.org/W2811025534"],"related_works":["https://openalex.org/W2156685828","https://openalex.org/W2041696987","https://openalex.org/W2073668838","https://openalex.org/W2740388504","https://openalex.org/W2156614499","https://openalex.org/W2952444666","https://openalex.org/W4385474376","https://openalex.org/W4287904904","https://openalex.org/W2951272238","https://openalex.org/W4297689458"],"abstract_inverted_index":{"Dynamic":[0],"(or":[1],"say,":[2],"time-varying)":[3],"problems":[4,50],"have":[5,41],"been":[6],"a":[7,14,43,99,189,194],"hot":[8],"spot":[9],"of":[10,17,64,81,137,156,175,210],"research":[11],"recently.":[12],"As":[13],"general":[15],"form":[16],"matrix":[18],"inverse,":[19],"dynamic":[20,48,52,89,134,216],"Moore-Penrose":[21,53,90,135,217],"inverse":[22,91,218],"solving":[23,219],"has":[24],"received":[25],"more":[26,28],"and":[27,122,127,132,153,193,208,226],"attention":[29],"owing":[30],"to":[31,46,70,143,171],"its":[32],"broad":[33],"applications.":[34],"The":[35,204],"approaches":[36],"based":[37,105],"on":[38,106,148],"neural":[39,57,75,111],"networks":[40],"become":[42],"popular":[44],"solution":[45],"various":[47],"matrix-related":[49],"including":[51],"inverse.":[54],"However,":[55],"existing":[56],"models":[58,118,177,214],"either":[59],"only":[60],"achieve":[61],"infinitetime":[62],"instead":[63],"finite-time":[65,73,151],"convergence,":[66],"or":[67],"are":[68,125,185,220],"sensitive":[69],"noises.":[71],"Therefore,":[72],"convergent":[74],"model,":[76],"which":[77],"is":[78,85,103],"simultaneously":[79],"capable":[80],"addressing":[82],"the":[83,107,130,149,157,173,211],"noises,":[84],"desperately":[86],"needed":[87],"for":[88,129,167,215],"solving.":[92],"To":[93],"do":[94],"that,":[95],"in":[96,178],"this":[97],"paper,":[98],"novel":[100],"evolution":[101],"formula":[102],"designed":[104],"widely":[108],"investigated":[109],"Zhang":[110],"network":[112],"(ZNN).":[113],"Accordingly,":[114],"two":[115,159,164,181],"modified":[116],"ZNN":[117],"(MZNN),":[119],"namely":[120],"MZNN-R":[121],"MZNN-L":[123],"models,":[124,160],"proposed":[126,158,212],"analyzed":[128],"right":[131],"left":[133],"inversion":[136],"full-rank":[138],"matrices,":[139],"respectively.":[140],"In":[141],"addition":[142],"providing":[144],"detailed":[145],"theoretical":[146,224],"analyses":[147],"desired":[150],"convergence":[152],"noise-depression":[154],"properties":[155],"we":[161],"also":[162,186],"perform":[163],"numerical":[165],"examples":[166,184],"further":[168],"verification.":[169],"Furthermore,":[170],"illustrate":[172],"potential":[174],"MZNN":[176,213],"practical":[179],"applications,":[180],"path-tracking":[182],"control":[183],"presented":[187],"via":[188],"two-dimensional":[190],"planar":[191],"three-link":[192],"three-dimensional":[195],"Kinova":[196],"Jaco":[197],"<sup":[198],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[199],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[200],"redundant":[201],"robot":[202],"manipulator.":[203],"feasibility,":[205],"extraordinary":[206],"efficacy,":[207],"superiority":[209],"corroborated":[221],"by":[222],"both":[223],"results":[225],"simulation":[227],"observations.":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
