{"id":"https://openalex.org/W4321021012","doi":"https://doi.org/10.1109/tnnls.2023.3242313","title":"A Fixed-Time Noise-Tolerance ZNN Model for Time-Variant Inequality-Constrained Quaternion Matrix Least-Squares Problem","display_name":"A Fixed-Time Noise-Tolerance ZNN Model for Time-Variant Inequality-Constrained Quaternion Matrix Least-Squares Problem","publication_year":2023,"publication_date":"2023-02-16","ids":{"openalex":"https://openalex.org/W4321021012","doi":"https://doi.org/10.1109/tnnls.2023.3242313","pmid":"https://pubmed.ncbi.nlm.nih.gov/37022852"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2023.3242313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2023.3242313","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/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":false,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-3172-3490","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078618428","display_name":"Penglin Cao","orcid":"https://orcid.org/0009-0008-2495-7364"},"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":"Penglin Cao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0009-0008-2495-7364","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109576555","display_name":"Wentong Song","orcid":null},"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":"Wentong Song","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057759603","display_name":"Liu Luo","orcid":"https://orcid.org/0009-0007-4600-0531"},"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":"Liu Luo","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0009-0007-4600-0531","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038245877","display_name":"Wensheng Tang","orcid":"https://orcid.org/0000-0003-1137-1758"},"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":"Wensheng Tang","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-1137-1758","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":2.4463,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.90890615,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"35","issue":"8","first_page":"10503","last_page":"10512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13579","display_name":"Image and Video Stabilization","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13579","display_name":"Image and Video Stabilization","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9944999814033508,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/quaternion","display_name":"Quaternion","score":0.6745139956474304},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6644697189331055},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5321074724197388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4942605495452881},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43469470739364624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4233022630214691},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.42282670736312866},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4182986617088318},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.412390798330307},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3641917109489441},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10188594460487366}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.6745139956474304},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6644697189331055},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5321074724197388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4942605495452881},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43469470739364624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4233022630214691},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.42282670736312866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4182986617088318},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.412390798330307},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3641917109489441},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10188594460487366},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2023.3242313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2023.3242313","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:37022852","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37022852","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/G268291241","display_name":null,"funder_award_id":"2021JJ20005","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G5166635775","display_name":"\u9488\u5bf9\u65f6\u53d8\u590d\u6570\u95ee\u9898\u7684\u590d\u503c\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u6a21\u578b\u8bbe\u8ba1\u548c\u7406\u8bba\u7814\u7a76","funder_award_id":"61866013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6367171472","display_name":null,"funder_award_id":"2018RS3065","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6633472649","display_name":null,"funder_award_id":"2018TP1018","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G7738513684","display_name":null,"funder_award_id":"2022RC1103","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8410413335","display_name":null,"funder_award_id":"CX20220523","funder_id":"https://openalex.org/F4320326217","funder_display_name":"Hunan Provincial Innovation Foundation for Postgraduate"}],"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},{"id":"https://openalex.org/F4320326217","display_name":"Hunan Provincial Innovation Foundation for Postgraduate","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1964585252","https://openalex.org/W1976252607","https://openalex.org/W1981583743","https://openalex.org/W1990202535","https://openalex.org/W1993338485","https://openalex.org/W1999872433","https://openalex.org/W2049755545","https://openalex.org/W2050105620","https://openalex.org/W2065619483","https://openalex.org/W2067768728","https://openalex.org/W2133702739","https://openalex.org/W2318781916","https://openalex.org/W2467979783","https://openalex.org/W2570951296","https://openalex.org/W2794132121","https://openalex.org/W2901925206","https://openalex.org/W2906482729","https://openalex.org/W2912788148","https://openalex.org/W2943086224","https://openalex.org/W2968043153","https://openalex.org/W2991486793","https://openalex.org/W2992362753","https://openalex.org/W2996951424","https://openalex.org/W3024704601","https://openalex.org/W3027535975","https://openalex.org/W3035021752","https://openalex.org/W3125398343","https://openalex.org/W3129982515","https://openalex.org/W3169126409","https://openalex.org/W3175229539"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W2887325221","https://openalex.org/W2084651007","https://openalex.org/W2184550115","https://openalex.org/W3121191907","https://openalex.org/W2391028436","https://openalex.org/W2368484960"],"abstract_inverted_index":{"Presently,":[0],"numerical":[1],"algorithms":[2],"for":[3,21],"solving":[4,22],"quaternion":[5,39],"least-squares":[6,41],"problems":[7],"have":[8,31],"been":[9],"intensively":[10],"studied":[11],"and":[12,27,74,91,118,139],"utilized":[13],"in":[14,65],"various":[15],"disciplines.":[16],"However,":[17],"they":[18],"are":[19,125],"unsuitable":[20],"the":[23,33,36,60,63,71,75,86,99,111,114,119,122,131,156,160,167,176,181],"corresponding":[24],"time-variant":[25,37],"problems,":[26],"thus":[28],"few":[29],"studies":[30],"explored":[32],"solution":[34,61],"to":[35,58,85,98,143,166],"inequality-constrained":[38],"matrix":[40],"problem":[42],"(TVIQLS).":[43],"To":[44],"do":[45],"so,":[46],"this":[47],"article":[48],"designs":[49],"a":[50,66,135],"fixed-time":[51,115],"noise-tolerance":[52],"zeroing":[53,101,145],"neural":[54,102,146],"network":[55,103,147],"(FTNTZNN)":[56],"model":[57,82,124,133,162],"determine":[59],"of":[62,88,121,159,169,180],"TVIQLS":[64],"complex":[67],"environment":[68],"by":[69,151],"exploiting":[70],"integral":[72],"structure":[73],"improved":[76],"activation":[77],"function":[78],"(AF).":[79],"The":[80],"FTNTZNN":[81,123,132,161,182],"is":[83,95,163],"immune":[84],"effects":[87],"initial":[89],"values":[90],"external":[92],"noise,":[93],"which":[94,174],"much":[96],"superior":[97,140],"conventional":[100],"(CZNN)":[104],"models.":[105],"Besides,":[106],"detailed":[107],"theoretical":[108],"derivations":[109],"about":[110],"global":[112],"stability,":[113],"(FXT)":[116],"convergence,":[117],"robustness":[120,141],"provided.":[126],"Simulation":[127],"results":[128],"indicate":[129],"that":[130],"has":[134],"shorter":[136],"convergence":[137],"time":[138],"compared":[142],"other":[144],"(ZNN)":[148],"models":[149],"activated":[150],"ordinary":[152],"AFs.":[153],"At":[154],"last,":[155],"construction":[157],"method":[158],"successfully":[164],"applied":[165],"synchronization":[168],"Lorenz":[170],"chaotic":[171],"systems":[172],"(LCSs),":[173],"shows":[175],"practical":[177],"application":[178],"value":[179],"model.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
