{"id":"https://openalex.org/W4312319994","doi":"https://doi.org/10.1109/tii.2022.3210038","title":"Design and Analysis of Two Nonlinear ZNN Models for Matrix LR and QR Factorization With Application to 3-D Moving Target Location","display_name":"Design and Analysis of Two Nonlinear ZNN Models for Matrix LR and QR Factorization With Application to 3-D Moving Target Location","publication_year":2022,"publication_date":"2022-09-27","ids":{"openalex":"https://openalex.org/W4312319994","doi":"https://doi.org/10.1109/tii.2022.3210038"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2022.3210038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2022.3210038","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/A5005130812","display_name":"Lin Xiao","orcid":"https://orcid.org/0000-0003-3172-3490"},"institutions":[{"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":true,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","MOE-LCSM, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]},{"raw_affiliation_string":"MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101577827","display_name":"Yongjun He","orcid":"https://orcid.org/0000-0002-5228-0302"},"institutions":[{"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":"Yongjun He","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","MOE-LCSM, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]},{"raw_affiliation_string":"MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100633409","display_name":"Yiwei Li","orcid":"https://orcid.org/0000-0002-8380-4164"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiwei Li","raw_affiliation_strings":["College of Computer, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Computer, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070031719","display_name":"Jianhua Dai","orcid":"https://orcid.org/0000-0003-1459-0833"},"institutions":[{"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":"Jianhua Dai","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","MOE-LCSM, Hunan Normal University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]},{"raw_affiliation_string":"MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005130812"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":1.2929,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.79606819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"19","issue":"6","first_page":"7424","last_page":"7434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9977999925613403,"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6349523067474365},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6147789359092712},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5891624689102173},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.583648145198822},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5805938243865967},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.5683126449584961},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5180764198303223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.450795441865921},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4503379166126251},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44045233726501465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42634934186935425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3762022852897644},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.17526760697364807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16798314452171326}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6349523067474365},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6147789359092712},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5891624689102173},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.583648145198822},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5805938243865967},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.5683126449584961},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5180764198303223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.450795441865921},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4503379166126251},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44045233726501465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42634934186935425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3762022852897644},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.17526760697364807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16798314452171326},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2022.3210038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2022.3210038","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/G1826252836","display_name":null,"funder_award_id":"61966014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2518044580","display_name":null,"funder_award_id":"18A289","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G380207861","display_name":null,"funder_award_id":"2018RS3065","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"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/G7389301712","display_name":null,"funder_award_id":"2021JJ20005","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G7948155191","display_name":null,"funder_award_id":"2018TP1018","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G8064630213","display_name":null,"funder_award_id":"61976089","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/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1524518994","https://openalex.org/W1968527606","https://openalex.org/W1974802448","https://openalex.org/W2024860760","https://openalex.org/W2028704100","https://openalex.org/W2053534813","https://openalex.org/W2095590702","https://openalex.org/W2115937807","https://openalex.org/W2133702739","https://openalex.org/W2163981881","https://openalex.org/W2411208350","https://openalex.org/W2591922966","https://openalex.org/W2791124749","https://openalex.org/W2799458759","https://openalex.org/W2891576042","https://openalex.org/W2911281195","https://openalex.org/W2968043153","https://openalex.org/W2992236792","https://openalex.org/W3015464588","https://openalex.org/W3016899151","https://openalex.org/W3082300084","https://openalex.org/W3083648248","https://openalex.org/W3121297827","https://openalex.org/W3125398343","https://openalex.org/W3169672010","https://openalex.org/W3174840197","https://openalex.org/W4224042789","https://openalex.org/W4301056826","https://openalex.org/W6631684411"],"related_works":["https://openalex.org/W2078349096","https://openalex.org/W1538524278","https://openalex.org/W2084348954","https://openalex.org/W1599936522","https://openalex.org/W119752240","https://openalex.org/W2188327980","https://openalex.org/W2006707200","https://openalex.org/W2150953077","https://openalex.org/W2007475631","https://openalex.org/W3200716635"],"abstract_inverted_index":{"Two":[0],"nonlinear":[1],"zeroing":[2],"neural":[3],"network":[4],"(ZNN)":[5],"models":[6,61,79,94],"with":[7],"prescribed-time":[8,64,85],"convergence":[9,65,86],"for":[10,62],"time-dependent":[11,36,44],"matrix":[12,37],"LR":[13,38],"and":[14,27,39,72,87,114],"QR":[15,40],"factorization":[16,41],"are":[17,31,80,95],"proposed":[18,77,92,103],"in":[19,98],"this":[20],"article.":[21],"To":[22],"do":[23],"so,":[24],"two":[25,28,76],"algorithms":[26],"error":[29,121],"functions":[30],"constructed":[32],"to":[33,108],"transform":[34],"the":[35,58,63,75,84,91,102,109,115,119,124],"problems":[42],"into":[43],"linear":[45],"equation":[46],"systems,":[47],"respectively.":[48],"Simultaneously,":[49],"a":[50],"new":[51],"activation":[52],"function":[53],"is":[54,106,122],"introduced":[55],"based":[56],"on":[57],"initial":[59],"ZNN":[60,78,93,104],"of":[66,74,90],"models.":[67],"The":[68],"excellent":[69],"performance":[70],"(robustness":[71],"convergence)":[73],"analyzed":[81],"theoretically.":[82],"Furthermore,":[83],"antinoise":[88],"abilities":[89],"well":[96],"demonstrated":[97],"numerical":[99],"experiments.":[100],"Finally,":[101],"model":[105],"applied":[107],"moving":[110],"target":[111],"location":[112,120],"problem,":[113],"results":[116],"show":[117],"that":[118],"at":[123],"millimeter":[125],"level.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4}],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}