{"id":"https://openalex.org/W3200337473","doi":"https://doi.org/10.1155/2021/4713450","title":"A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time\u2010Varying Delay Based on Gronwall\u2019s Inequality","display_name":"A New Criterion for Exponential Stability of a Class of Hopfield Neural Network with Time\u2010Varying Delay Based on Gronwall\u2019s Inequality","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3200337473","doi":"https://doi.org/10.1155/2021/4713450","mag":"3200337473","pmid":"https://pubmed.ncbi.nlm.nih.gov/34552626"},"language":"en","primary_location":{"id":"doi:10.1155/2021/4713450","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4713450","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/4713450.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cin/2021/4713450.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041994360","display_name":"Faming Guo","orcid":"https://orcid.org/0000-0002-0837-4395"},"institutions":[{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Faming Guo","raw_affiliation_strings":["Department of Mathematics and Physics, Hechi University, Yizhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0837-4395","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Hechi University, Yizhou, China","institution_ids":["https://openalex.org/I4210161599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056067712","display_name":"Ricai Luo","orcid":"https://orcid.org/0000-0002-9039-0123"},"institutions":[{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ricai Luo","raw_affiliation_strings":["Department of Mathematics and Physics, Hechi University, Yizhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9039-0123","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Hechi University, Yizhou, China","institution_ids":["https://openalex.org/I4210161599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081250285","display_name":"Xiaolan Qin","orcid":"https://orcid.org/0000-0003-4051-7971"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]},{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaolan Qin","raw_affiliation_strings":["Department of Mathematics and Physics, Hechi University, Yizhou, China","Institute of Mathematical Sciences, Guizhou Normal University, Guizhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4051-7971","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Hechi University, Yizhou, China","institution_ids":["https://openalex.org/I4210161599"]},{"raw_affiliation_string":"Institute of Mathematical Sciences, Guizhou Normal University, Guizhou, China","institution_ids":["https://openalex.org/I154893126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102693222","display_name":"Yunfei Yi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161599","display_name":"Hechi University","ror":"https://ror.org/05pjkyk24","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210161599"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunfei Yi","raw_affiliation_strings":["Department of Computer and Information Engineering, Hechi University, Yizhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Engineering, Hechi University, Yizhou, China","institution_ids":["https://openalex.org/I4210161599"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056067712"],"corresponding_institution_ids":["https://openalex.org/I4210161599"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":0.1602,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53235788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2021","issue":"1","first_page":"4713450","last_page":"4713450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9872000217437744,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9628999829292297,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.6911621689796448},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.614526629447937},{"id":"https://openalex.org/keywords/gronwalls-inequality","display_name":"Gronwall's inequality","score":0.6099374294281006},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.603743851184845},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5945944786071777},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5395097136497498},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5227078199386597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5198243856430054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4994049072265625},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4522068202495575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44132497906684875},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4263852834701538},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.4168100953102112},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.4127592444419861},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.40074431896209717},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3472850024700165},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20423930883407593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16211122274398804},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12774842977523804},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12760046124458313},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.07451725006103516},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07029503583908081},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06024390459060669}],"concepts":[{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.6911621689796448},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.614526629447937},{"id":"https://openalex.org/C37608338","wikidata":"https://www.wikidata.org/wiki/Q510733","display_name":"Gronwall's inequality","level":3,"score":0.6099374294281006},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.603743851184845},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5945944786071777},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5395097136497498},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5227078199386597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5198243856430054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4994049072265625},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4522068202495575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44132497906684875},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4263852834701538},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.4168100953102112},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.4127592444419861},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.40074431896209717},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3472850024700165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20423930883407593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16211122274398804},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12774842977523804},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12760046124458313},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.07451725006103516},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07029503583908081},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06024390459060669},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":6,"locations":[{"id":"doi:10.1155/2021/4713450","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4713450","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/4713450.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},{"id":"pmid:34552626","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34552626","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":"Computational intelligence and neuroscience","raw_type":null},{"id":"pmh:oai:doaj.org/article:362de700f0e349e0b42009050872f872","is_oa":true,"landing_page_url":"https://doaj.org/article/362de700f0e349e0b42009050872f872","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":"Computational Intelligence and Neuroscience, Vol 2021 (2021)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:7343278","is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC8452427","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:hindawi.com:10.1155/2021/4713450","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/4713450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8452427","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8452427","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Comput Intell Neurosci","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2021/4713450","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4713450","pdf_url":"https://downloads.hindawi.com/journals/cin/2021/4713450.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G18610476","display_name":null,"funder_award_id":"2020GXNSFAA159084","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G2021321043","display_name":null,"funder_award_id":"11561019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2263081949","display_name":null,"funder_award_id":"11961021","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G3646426611","display_name":null,"funder_award_id":"2020GXNSFAA159172","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4012839007","display_name":null,"funder_award_id":"2019GCC005","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4457209397","display_name":null,"funder_award_id":"2020GXNSFAA159084","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5352664199","display_name":null,"funder_award_id":"2020GXNSFAA159172","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8134707572","display_name":null,"funder_award_id":"11561019","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G8176201325","display_name":null,"funder_award_id":"2019GCC005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8361573401","display_name":null,"funder_award_id":"11961021","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/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200337473.pdf","grobid_xml":"https://content.openalex.org/works/W3200337473.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1493367731","https://openalex.org/W1986534502","https://openalex.org/W1987196160","https://openalex.org/W1994283132","https://openalex.org/W2014431246","https://openalex.org/W2014960375","https://openalex.org/W2020174839","https://openalex.org/W2025038026","https://openalex.org/W2035182903","https://openalex.org/W2051898177","https://openalex.org/W2061143386","https://openalex.org/W2062277638","https://openalex.org/W2062564145","https://openalex.org/W2077357903","https://openalex.org/W2081022937","https://openalex.org/W2084820442","https://openalex.org/W2085658182","https://openalex.org/W2093803598","https://openalex.org/W2109628201","https://openalex.org/W2112246162","https://openalex.org/W2117976551","https://openalex.org/W2134569449","https://openalex.org/W2140088350","https://openalex.org/W2192849918","https://openalex.org/W2267294311","https://openalex.org/W2273813901","https://openalex.org/W2317926736","https://openalex.org/W2319060721","https://openalex.org/W2368619468","https://openalex.org/W2584350597","https://openalex.org/W2605975819","https://openalex.org/W2733146031","https://openalex.org/W2790389815","https://openalex.org/W2791554239","https://openalex.org/W3003537242","https://openalex.org/W3164817169"],"related_works":["https://openalex.org/W2117614743","https://openalex.org/W2218979613","https://openalex.org/W2951527796","https://openalex.org/W2979762782","https://openalex.org/W1494567074","https://openalex.org/W2013559073","https://openalex.org/W2011506685","https://openalex.org/W2069206870","https://openalex.org/W1521770409","https://openalex.org/W3133671393"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,23,41],"study":[4],"the":[5,11,20,30,47,52],"problem":[6],"of":[7,32,34,51],"exponential":[8],"stability":[9,26],"for":[10],"Hopfield":[12],"neural":[13],"network":[14],"with":[15],"time-varying":[16],"delays.":[17],"Different":[18],"from":[19],"existing":[21],"results,":[22],"establish":[24],"new":[25],"criteria":[27],"by":[28],"employing":[29],"method":[31],"variation":[33],"constants":[35],"and":[36,49],"Gronwall's":[37],"integral":[38],"inequality.":[39],"Finally,":[40],"give":[42],"several":[43],"examples":[44],"to":[45],"show":[46],"effectiveness":[48],"applicability":[50],"obtained":[53],"criterion.":[54]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}