{"id":"https://openalex.org/W4282918380","doi":"https://doi.org/10.1109/tcyb.2022.3179312","title":"A Robust Predefined-Time Convergence Zeroing Neural Network for Dynamic Matrix Inversion","display_name":"A Robust Predefined-Time Convergence Zeroing Neural Network for Dynamic Matrix Inversion","publication_year":2022,"publication_date":"2022-06-10","ids":{"openalex":"https://openalex.org/W4282918380","doi":"https://doi.org/10.1109/tcyb.2022.3179312","pmid":"https://pubmed.ncbi.nlm.nih.gov/35687643"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2022.3179312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3179312","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/A5073881751","display_name":"Jie Jin","orcid":"https://orcid.org/0000-0002-7386-8412"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]},{"id":"https://openalex.org/I165911609","display_name":"Changsha Medical University","ror":"https://ror.org/05dt7z971","country_code":"CN","type":"education","lineage":["https://openalex.org/I165911609"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie Jin","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","School of Information Engineering, Changsha Medical University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-7386-8412","affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]},{"raw_affiliation_string":"School of Information Engineering, Changsha Medical University, Changsha, China","institution_ids":["https://openalex.org/I165911609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102822106","display_name":"Jingcan Zhu","orcid":"https://orcid.org/0000-0003-0107-5621"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingcan Zhu","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103878761","display_name":"Lv Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]},{"id":"https://openalex.org/I165911609","display_name":"Changsha Medical University","ror":"https://ror.org/05dt7z971","country_code":"CN","type":"education","lineage":["https://openalex.org/I165911609"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lv Zhao","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","School of Information Engineering, Changsha Medical University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]},{"raw_affiliation_string":"School of Information Engineering, Changsha Medical University, Changsha, China","institution_ids":["https://openalex.org/I165911609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333510","display_name":"Lei Chen","orcid":"https://orcid.org/0000-0002-8000-7872"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]},{"id":"https://openalex.org/I165911609","display_name":"Changsha Medical University","ror":"https://ror.org/05dt7z971","country_code":"CN","type":"education","lineage":["https://openalex.org/I165911609"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Chen","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","School of Information Engineering, Changsha Medical University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]},{"raw_affiliation_string":"School of Information Engineering, Changsha Medical University, Changsha, China","institution_ids":["https://openalex.org/I165911609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100336368","display_name":"Long Chen","orcid":"https://orcid.org/0000-0001-8075-6008"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Chen","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023378277","display_name":"Jianqiang Gong","orcid":null},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianqiang Gong","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China","institution_ids":["https://openalex.org/I121296143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5073881751"],"corresponding_institution_ids":["https://openalex.org/I121296143","https://openalex.org/I165911609"],"apc_list":null,"apc_paid":null,"fwci":10.085,"has_fulltext":false,"cited_by_count":99,"citation_normalized_percentile":{"value":0.98956595,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"53","issue":"6","first_page":"3887","last_page":"3900"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9973000288009644,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9958000183105469,"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/robustness","display_name":"Robustness (evolution)","score":0.6706600785255432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6494711637496948},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.53340744972229},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5263938903808594},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4783886671066284},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44862866401672363},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4215492606163025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2381969690322876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17626315355300903},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16311761736869812}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6706600785255432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6494711637496948},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.53340744972229},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5263938903808594},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4783886671066284},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44862866401672363},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4215492606163025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2381969690322876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17626315355300903},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16311761736869812},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2022.3179312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3179312","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:35687643","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35687643","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/G12777007","display_name":null,"funder_award_id":"18C0296","funder_id":"https://openalex.org/F4320311213","funder_display_name":"Education Department of Hunan Province"},{"id":"https://openalex.org/G1868197522","display_name":null,"funder_award_id":"20C0786","funder_id":"https://openalex.org/F4320311213","funder_display_name":"Education Department of Hunan Province"},{"id":"https://openalex.org/G3108999402","display_name":null,"funder_award_id":"20B216","funder_id":"https://openalex.org/F4320311213","funder_display_name":"Education Department of Hunan Province"},{"id":"https://openalex.org/G3907781642","display_name":null,"funder_award_id":"62103143","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4855582772","display_name":null,"funder_award_id":"2020JJ4315","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8178639590","display_name":null,"funder_award_id":"61905074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8504934220","display_name":null,"funder_award_id":"2020JJ7065","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8834169875","display_name":null,"funder_award_id":"2020JJ5199","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320311213","display_name":"Education Department of Hunan Province","ror":"https://ror.org/05ckg3w11"},{"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":59,"referenced_works":["https://openalex.org/W1976220104","https://openalex.org/W1997270899","https://openalex.org/W2029781456","https://openalex.org/W2093627685","https://openalex.org/W2127594344","https://openalex.org/W2129290779","https://openalex.org/W2298552880","https://openalex.org/W2344929049","https://openalex.org/W2345244325","https://openalex.org/W2535782348","https://openalex.org/W2543670241","https://openalex.org/W2550196177","https://openalex.org/W2782847035","https://openalex.org/W2793953252","https://openalex.org/W2896377848","https://openalex.org/W2902877257","https://openalex.org/W2915008738","https://openalex.org/W2938800094","https://openalex.org/W2941887520","https://openalex.org/W2944466752","https://openalex.org/W2945488196","https://openalex.org/W2947506421","https://openalex.org/W2963694961","https://openalex.org/W2964239500","https://openalex.org/W2971039702","https://openalex.org/W2973547746","https://openalex.org/W2973843340","https://openalex.org/W2974951709","https://openalex.org/W2976686511","https://openalex.org/W2989156307","https://openalex.org/W3000187499","https://openalex.org/W3011308475","https://openalex.org/W3011605778","https://openalex.org/W3012462771","https://openalex.org/W3020949582","https://openalex.org/W3027535975","https://openalex.org/W3039443613","https://openalex.org/W3043713381","https://openalex.org/W3049185611","https://openalex.org/W3096703759","https://openalex.org/W3107154053","https://openalex.org/W3118403460","https://openalex.org/W3120862948","https://openalex.org/W3128723704","https://openalex.org/W3130591633","https://openalex.org/W3131953810","https://openalex.org/W3135158448","https://openalex.org/W3138341408","https://openalex.org/W3158256697","https://openalex.org/W3187048675","https://openalex.org/W3197517345","https://openalex.org/W3199449998","https://openalex.org/W4207001613","https://openalex.org/W4213015918","https://openalex.org/W6678649081","https://openalex.org/W6788148132","https://openalex.org/W6790738387","https://openalex.org/W6791899572","https://openalex.org/W6800698487"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3154990682","https://openalex.org/W1980470275","https://openalex.org/W2560201613","https://openalex.org/W2171975302","https://openalex.org/W2022352247","https://openalex.org/W2488129135","https://openalex.org/W4312219546","https://openalex.org/W2086322839","https://openalex.org/W2377538627"],"abstract_inverted_index":{"As":[0],"a":[1,86,97,136],"classical":[2],"and":[3,22,34,138,178],"effective":[4],"method":[5],"for":[6],"solving":[7],"various":[8],"time-varying":[9],"problems,":[10],"the":[11,20,29,43,46,50,61,83,95,112,119,123,146,162,165,169,174],"zeroing":[12],"neural":[13],"network":[14],"(ZNN)":[15],"is":[16,91,108,128],"widely":[17],"applied":[18],"in":[19,49,70,79,135],"scientific":[21],"industrial":[23],"realms.":[24],"In":[25,117],"plentiful":[26],"studies":[27],"on":[28,56,94],"ZNN":[30,51,101],"model,":[31],"its":[32,57,64,76],"robustness":[33],"convergence":[35,58,65,100,106,126,177],"have":[36,53],"been":[37,54,68],"two":[38],"essential":[39],"criteria":[40],"to":[41,110,151],"evaluate":[42],"quality":[44],"of":[45,63,122,145,154,164,168],"model.":[47],"Improvements":[48],"model":[52,103,148],"focused":[55],"speed;":[59],"however,":[60],"adjustability":[62],"speed":[66,107],"has":[67],"neglected":[69],"most":[71],"prior":[72],"works,":[73],"which":[74],"restricts":[75],"extensive":[77],"promotion":[78],"practical":[80],"application.":[81],"Considering":[82],"above-mentioned":[84],"issue,":[85],"well-designed":[87],"activation":[88],"function":[89],"(WDAF)":[90],"designed.":[92],"Based":[93],"WDAF,":[96],"robust":[98],"predefined-time":[99],"(RPTCZNN)":[102],"with":[104,158],"adjustable":[105],"proposed":[109,147],"solve":[111],"dynamic":[113,155],"matrix":[114,156],"inversion":[115,157],"problem.":[116],"addition,":[118],"upper":[120],"bound":[121],"RPTCZNN":[124],"model's":[125,175],"time":[127],"theoretically":[129],"validated":[130],"by":[131],"strict":[132],"mathematical":[133],"analysis":[134],"noiseless":[137],"noisy":[139],"environment.":[140],"Finally,":[141],"several":[142],"simulation":[143],"experiments":[144],"are":[149],"conducted":[150],"find":[152],"solutions":[153],"different":[159],"dimensions.":[160],"Moreover,":[161],"realization":[163],"tracking":[166],"control":[167],"robotic":[170],"manipulator":[171],"further":[172],"illustrates":[173],"superior":[176],"robustness.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":33},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":8}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}