{"id":"https://openalex.org/W4312901673","doi":"https://doi.org/10.1109/access.2022.3226253","title":"A Non-Convex Activation and Noise-Suppressing Zeroing Neural Network for Finding Time-Varying Matrix Square Root","display_name":"A Non-Convex Activation and Noise-Suppressing Zeroing Neural Network for Finding Time-Varying Matrix Square Root","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312901673","doi":"https://doi.org/10.1109/access.2022.3226253"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3226253","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3226253","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09968239.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09968239.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087577799","display_name":"Mianjie Zheng","orcid":"https://orcid.org/0000-0001-6932-0975"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mianjie Zheng","raw_affiliation_strings":["School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":"https://orcid.org/0000-0001-6932-0975","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061961316","display_name":"Chengze Jiang","orcid":"https://orcid.org/0000-0002-1681-8128"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengze Jiang","raw_affiliation_strings":["School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":"https://orcid.org/0000-0002-1681-8128","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053419991","display_name":"Ying Liufu","orcid":"https://orcid.org/0000-0001-6544-9798"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Liufu","raw_affiliation_strings":["School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027913111","display_name":"Xiuchun Xiao","orcid":"https://orcid.org/0000-0002-3389-6689"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuchun Xiao","raw_affiliation_strings":["School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":"https://orcid.org/0000-0002-3389-6689","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79223203"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3936,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67730347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"10","issue":null,"first_page":"128336","last_page":"128347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973999857902527,"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":0.9814000129699707,"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":0.9771999716758728,"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/square-root","display_name":"Square root","score":0.6974892020225525},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5390673279762268},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5074791312217712},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4779936373233795},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43643978238105774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4278656840324402},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42043644189834595},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.41079390048980713},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39190447330474854},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3878630995750427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3218470513820648},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13569769263267517},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13161557912826538},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09414851665496826}],"concepts":[{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.6974892020225525},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5390673279762268},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5074791312217712},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4779936373233795},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43643978238105774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4278656840324402},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42043644189834595},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.41079390048980713},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39190447330474854},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3878630995750427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3218470513820648},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13569769263267517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13161557912826538},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09414851665496826},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3226253","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3226253","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09968239.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3e950cf970474ab3b2a89215e1abc58d","is_oa":true,"landing_page_url":"https://doaj.org/article/3e950cf970474ab3b2a89215e1abc58d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 128336-128347 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3226253","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3226253","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09968239.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1379574544","display_name":null,"funder_award_id":"202214","funder_id":"https://openalex.org/F4320329021","funder_display_name":"Guangdong Ocean University"},{"id":"https://openalex.org/G2951197628","display_name":null,"funder_award_id":"2019GDDSIPL-01","funder_id":"https://openalex.org/F4320317428","funder_display_name":"Key Lab of Digital Signal and Image Processing of Guangdong Province"},{"id":"https://openalex.org/G4805178994","display_name":null,"funder_award_id":"202202","funder_id":"https://openalex.org/F4320326279","funder_display_name":"Department of Education of Guangdong Province"},{"id":"https://openalex.org/G5014605013","display_name":null,"funder_award_id":"2019KZDZX1036","funder_id":"https://openalex.org/F4320326279","funder_display_name":"Department of Education of Guangdong Province"},{"id":"https://openalex.org/G5575555576","display_name":null,"funder_award_id":"202210566028","funder_id":"https://openalex.org/F4320329021","funder_display_name":"Guangdong Ocean University"},{"id":"https://openalex.org/G585186276","display_name":null,"funder_award_id":"2021A1515011847","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320317428","display_name":"Key Lab of Digital Signal and Image Processing of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320326279","display_name":"Department of Education of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320329021","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312901673.pdf","grobid_xml":"https://content.openalex.org/works/W4312901673.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1483804921","https://openalex.org/W1826072219","https://openalex.org/W1976220104","https://openalex.org/W1987073005","https://openalex.org/W2011703186","https://openalex.org/W2028166238","https://openalex.org/W2085506739","https://openalex.org/W2094206629","https://openalex.org/W2180946617","https://openalex.org/W2467979783","https://openalex.org/W2728677037","https://openalex.org/W2896719349","https://openalex.org/W2899794371","https://openalex.org/W2928853519","https://openalex.org/W2941887520","https://openalex.org/W2947265870","https://openalex.org/W2963089105","https://openalex.org/W2963783623","https://openalex.org/W2971212725","https://openalex.org/W2978371710","https://openalex.org/W2984191341","https://openalex.org/W3004861844","https://openalex.org/W3011330900","https://openalex.org/W3039930540","https://openalex.org/W3085472435","https://openalex.org/W3114530367","https://openalex.org/W3119598453","https://openalex.org/W3196953245","https://openalex.org/W3203658066","https://openalex.org/W6811388694"],"related_works":["https://openalex.org/W2217961521","https://openalex.org/W2001134355","https://openalex.org/W1595735471","https://openalex.org/W3120038327","https://openalex.org/W1561772133","https://openalex.org/W113971542","https://openalex.org/W3029623871","https://openalex.org/W933873750","https://openalex.org/W2200340134","https://openalex.org/W4308789280"],"abstract_inverted_index":{"In":[0,28],"this":[1],"paper,":[2],"a":[3,25,49],"zeroing":[4,33],"neural":[5,34],"network":[6,35],"model":[7,40,74],"with":[8,30],"properties":[9],"of":[10,24,44,70,78,105],"non-convex":[11],"activation":[12],"and":[13,47,56,67,89,100],"noise":[14],"suppressing":[15],"(NANSZNN)":[16],"is":[17],"proposed":[18,38,72,107],"for":[19,63],"finding":[20],"the":[21,31,37,42,64,71,76,97,106],"square":[22],"root":[23],"time-varying":[26],"matrix.":[27],"comparison":[29],"existing":[32],"models,":[36],"NANSZNN":[39,73,108],"relieves":[41],"limit":[43],"convex":[45],"constraint":[46],"makes":[48],"breakthrough":[50],"in":[51,61],"noise-suppressing.":[52],"Furthermore,":[53],"theoretical":[54],"analyses":[55,91],"strict":[57],"proofs":[58],"are":[59,92],"provided":[60],"detail":[62],"global":[65],"convergence":[66],"noise-suppressing":[68],"performance":[69],"under":[75],"circumstances":[77],"various":[79],"noises":[80,104],"by":[81],"using":[82],"Lyaponov":[83],"stability":[84],"theory.":[85],"Finally,":[86],"numerical":[87],"experiments":[88],"comparative":[90],"offered":[93],"to":[94],"further":[95],"illustrate":[96],"availability,":[98],"effectiveness,":[99],"robustness":[101],"against":[102],"different":[103],"model.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}