{"id":"https://openalex.org/W4223466975","doi":"https://doi.org/10.1109/tnnls.2022.3163293","title":"ZNNs With a Varying-Parameter Design Formula for Dynamic Sylvester Quaternion Matrix Equation","display_name":"ZNNs With a Varying-Parameter Design Formula for Dynamic Sylvester Quaternion Matrix Equation","publication_year":2022,"publication_date":"2022-04-12","ids":{"openalex":"https://openalex.org/W4223466975","doi":"https://doi.org/10.1109/tnnls.2022.3163293","pmid":"https://pubmed.ncbi.nlm.nih.gov/35412991"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3163293","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3163293","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":true,"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, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011508638","display_name":"Wenqian Huang","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":"Wenqian Huang","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101984096","display_name":"Xiao Peng Li","orcid":"https://orcid.org/0000-0002-5448-7219"},"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":"Xiaopeng Li","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055546056","display_name":"Fuchun Sun","orcid":"https://orcid.org/0000-0003-3546-6305"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuchun Sun","raw_affiliation_strings":["Department of Computer Science, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069241620","display_name":"Qing Liao","orcid":"https://orcid.org/0000-0003-1012-5301"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing Liao","raw_affiliation_strings":["College of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059296580","display_name":"Lei Jia","orcid":"https://orcid.org/0009-0004-4116-3524"},"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":"Lei Jia","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101749056","display_name":"Jichun Li","orcid":"https://orcid.org/0000-0002-9158-3269"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jichun Li","raw_affiliation_strings":["School of Computing, Newcastle University, Newcastle upon Tyne, U.K"],"affiliations":[{"raw_affiliation_string":"School of Computing, Newcastle University, Newcastle upon Tyne, U.K","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038480860","display_name":"Sai Liu","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":"Sai Liu","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing and MOE-LCSM, Hunan Normal University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5005130812"],"corresponding_institution_ids":["https://openalex.org/I173759888"],"apc_list":null,"apc_paid":null,"fwci":1.4608,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83520712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"34","issue":"12","first_page":"9981","last_page":"9991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T13579","display_name":"Image and Video Stabilization","score":0.9805999994277954,"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/T10320","display_name":"Neural Networks and Applications","score":0.980400025844574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.7190930247306824},{"id":"https://openalex.org/keywords/sylvester-equation","display_name":"Sylvester equation","score":0.658726692199707},{"id":"https://openalex.org/keywords/sylvesters-law-of-inertia","display_name":"Sylvester's law of inertia","score":0.6384673118591309},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5587970614433289},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5219030976295471},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5039035677909851},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5007529258728027},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48216408491134644},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4769103527069092},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46456897258758545},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.4614623188972473},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.4512556791305542},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4251413643360138},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42175811529159546},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4208610951900482},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4093817472457886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.265881210565567},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1509062647819519},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.13053622841835022},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07567903399467468}],"concepts":[{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.7190930247306824},{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.658726692199707},{"id":"https://openalex.org/C56828936","wikidata":"https://www.wikidata.org/wiki/Q1752621","display_name":"Sylvester's law of inertia","level":4,"score":0.6384673118591309},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5587970614433289},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5219030976295471},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5039035677909851},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5007529258728027},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48216408491134644},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4769103527069092},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46456897258758545},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.4614623188972473},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.4512556791305542},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4251413643360138},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42175811529159546},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4208610951900482},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4093817472457886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.265881210565567},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1509062647819519},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.13053622841835022},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07567903399467468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tnnls.2022.3163293","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3163293","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:35412991","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35412991","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},{"id":"pmh:oai:eprints.ncl.ac.uk:281745","is_oa":false,"landing_page_url":"https://eprints.ncl.ac.uk/281745","pdf_url":null,"source":{"id":"https://openalex.org/S4306402485","display_name":"Newcastle University ePrints (Newcastle Univesity)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I84884186","host_organization_name":"Newcastle University","host_organization_lineage":["https://openalex.org/I84884186"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"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":null,"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/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/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1409720945","https://openalex.org/W1533408562","https://openalex.org/W1584666263","https://openalex.org/W1592096085","https://openalex.org/W1636433556","https://openalex.org/W1968228551","https://openalex.org/W1996040242","https://openalex.org/W2005450935","https://openalex.org/W2006678442","https://openalex.org/W2010411578","https://openalex.org/W2023334490","https://openalex.org/W2033772417","https://openalex.org/W2039120155","https://openalex.org/W2065894561","https://openalex.org/W2073554986","https://openalex.org/W2089302086","https://openalex.org/W2130317597","https://openalex.org/W2133702739","https://openalex.org/W2294761892","https://openalex.org/W2390401404","https://openalex.org/W2493842963","https://openalex.org/W2766233463","https://openalex.org/W2897981614","https://openalex.org/W2901085357","https://openalex.org/W2910901527","https://openalex.org/W2912576231","https://openalex.org/W2973166946","https://openalex.org/W3041535098","https://openalex.org/W3119598453","https://openalex.org/W3122985893","https://openalex.org/W3124444594","https://openalex.org/W3129982515","https://openalex.org/W3187093053","https://openalex.org/W6780670225"],"related_works":["https://openalex.org/W3024979424","https://openalex.org/W4283785902","https://openalex.org/W2895192346","https://openalex.org/W3032499992","https://openalex.org/W2041004593","https://openalex.org/W3134817226","https://openalex.org/W3110577345","https://openalex.org/W3136579697","https://openalex.org/W2811324119","https://openalex.org/W1504105233"],"abstract_inverted_index":{"This":[0],"article":[1],"aims":[2],"to":[3,6,21,32,51,72,160],"studying":[4],"how":[5],"solve":[7,22],"dynamic":[8,17,36,68],"Sylvester":[9,37],"quaternion":[10],"matrix":[11,39],"equation":[12,40],"(DSQME)":[13],"using":[14],"the":[15,23,25,34,43,49,52,55,60,90,95,102,105,123,131,134,142,147,162,170,173,177,180,183,186,189],"neural":[16,67,79,167],"method.":[18],"In":[19],"order":[20],"DSQME,":[24],"complex":[26,38],"representation":[27],"method":[28,69],"is":[29,46,54,70,99,119,128,151],"first":[30],"adopted":[31],"derive":[33],"equivalent":[35,174],"(DSCME)":[41],"from":[42],"DSQME.":[44],"It":[45],"proven":[47,152],"that":[48,58],"solution":[50,163],"DSCME":[53],"same":[56],"as":[57],"of":[59,165,182,188],"DSQME":[61,171],"in":[62,101,130,153],"essence.":[63],"Then,":[64],"a":[65,74,116],"state-of-the-art":[66],"presented":[71,159],"generate":[73],"general":[75],"dynamic-varying":[76],"parameter":[77],"zeroing":[78],"network":[80],"(DVPZNN)":[81],"model":[82,107,136],"with":[83,146],"its":[84],"global":[85],"stability":[86],"being":[87],"guaranteed":[88],"by":[89],"Lyapunov":[91],"theory.":[92],"Specifically,":[93],"when":[94],"linear":[96,109],"activation":[97,126],"function":[98,127],"utilized":[100,129],"DVPZNN":[103,110,132,139,192],"model,":[104,133,149],"corresponding":[106,135],"[termed":[108,137],"(LDVPZNN)]":[111],"achieves":[112,141],"finite-time":[113],"convergence,":[114],"and":[115,172,176,185],"time":[117],"range":[118],"theoretically":[120],"calculated.":[121],"When":[122],"nonlinear":[124],"power-sigmoid":[125,138],"(PSDVPZNN)]":[140],"better":[143],"convergence":[144],"compared":[145],"LDVPZNN":[148],"which":[150],"detail.":[154],"Finally,":[155],"three":[156],"examples":[157],"are":[158],"compare":[161],"performance":[164],"different":[166],"models":[168],"for":[169],"DSCME,":[175],"results":[178],"verify":[179],"correctness":[181],"theories":[184],"superiority":[187],"proposed":[190],"two":[191],"models.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}