{"id":"https://openalex.org/W1999752002","doi":"https://doi.org/10.1155/2013/270791","title":"Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method","display_name":"Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1999752002","doi":"https://doi.org/10.1155/2013/270791","mag":"1999752002"},"language":"en","primary_location":{"id":"doi:10.1155/2013/270791","doi":"https://doi.org/10.1155/2013/270791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/270791","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2013/270791","source":{"id":"https://openalex.org/S54871839","display_name":"Abstract and Applied Analysis","issn_l":"1085-3375","issn":["1085-3375","1687-0409"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abstract and Applied Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2013/270791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063348338","display_name":"Hanfeng Kuang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hanfeng Kuang","raw_affiliation_strings":["College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100332290","display_name":"Jinbo Liu","orcid":"https://orcid.org/0000-0002-8229-9098","observed_orcids":["https://orcid.org/0000-0002-8229-9098"]},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinbo Liu","raw_affiliation_strings":["College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056597996","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-3267-3256","observed_orcids":["https://orcid.org/0000-0002-3267-3256"]},"institutions":[{"id":"https://openalex.org/I4210087216","display_name":"Hunan Provincial Center for Disease Control and Prevention","ror":"https://ror.org/0066efq29","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210087216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Hunan Provincial Center for Disease Control and Prevention, Changsha, Hunan 410005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Provincial Center for Disease Control and Prevention, Changsha, Hunan 410005, China","institution_ids":["https://openalex.org/I4210087216"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jie Mao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Mao","raw_affiliation_strings":["College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078665591","display_name":"Linjie He","orcid":"https://orcid.org/0000-0001-5831-3235","observed_orcids":["https://orcid.org/0000-0001-5831-3235"]},"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":"Linjie He","raw_affiliation_strings":["School of Business, Hunan Normal University, Changsha, Hunan 410081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, Hunan Normal University, Changsha, Hunan 410081, China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063348338"],"corresponding_institution_ids":["https://openalex.org/I56934997"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.4379,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74040117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9833999872207642,"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":0.9833999872207642,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.016599999740719795,"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/T10320","display_name":"Neural Networks and Applications","score":0.0,"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/switched-stochastic-systems","display_name":"switched stochastic systems","score":0.640999972820282},{"id":"https://openalex.org/keywords/cellular-neural-networks","display_name":"cellular neural networks","score":0.9919999837875366},{"id":"https://openalex.org/keywords/time-varying-delays","display_name":"time-varying delays","score":0.8379999995231628},{"id":"https://openalex.org/keywords/distributed-delay","display_name":"distributed delay","score":0.8220000267028809},{"id":"https://openalex.org/keywords/mixed-time-delays","display_name":"mixed delays","score":0.7570000290870667},{"id":"https://openalex.org/keywords/average-dwell-time","display_name":"average dwell time","score":0.8840000033378601},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.8610000014305115},{"id":"https://openalex.org/keywords/existence-of-attractors","display_name":"existence of attractors","score":0.7850000262260437},{"id":"https://openalex.org/keywords/mean-square-exponential-stability","display_name":"mean-square exponential stability","score":0.9980000257492065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8252266645431519},{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.8110517263412476},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7992279529571533},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6599538922309875},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5245259404182434},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4961293637752533},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4947788119316101},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.4903981685638428},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46350258588790894},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.45037686824798584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4361853003501892},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.42924174666404724},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4272562265396118},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25385144352912903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13643032312393188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12928876280784607},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12402686476707458},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10996890068054199},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.10631641745567322},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07161101698875427},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/270791","doi":"https://doi.org/10.1155/2013/270791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/270791","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2013/270791","source":{"id":"https://openalex.org/S54871839","display_name":"Abstract and Applied Analysis","issn_l":"1085-3375","issn":["1085-3375","1687-0409"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abstract and Applied Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.aaa/1393449438","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.aaa/1393449438","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnlaaa:270791","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/AAA/2013/270791.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:396f697b739944d3bc34e731622280d9","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/396f697b739944d3bc34e731622280d9","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,"listed_in":[],"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":"Abstract and Applied Analysis, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/270791","doi":"https://doi.org/10.1155/2013/270791","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/270791","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2013/270791","source":{"id":"https://openalex.org/S54871839","display_name":"Abstract and Applied Analysis","issn_l":"1085-3375","issn":["1085-3375","1687-0409"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abstract and Applied Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1472133093","display_name":null,"funder_award_id":"2012SK3096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1736226640","display_name":null,"funder_award_id":"10B002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2663612658","display_name":null,"funder_award_id":"211118","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G565185635","display_name":"\u65f6\u6ede\u7cfb\u7edf\u7684\u591a\u91cd\u7a33\u5b9a\u6027\u4e0e\u968f\u673a\u7a33\u5b9a\u6027\u7814\u7a76","funder_award_id":"11101053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7187634749","display_name":null,"funder_award_id":"11JJ1001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7739652417","display_name":null,"funder_award_id":"2012SK3096","funder_id":"https://openalex.org/F4320321471","funder_display_name":"Hunan Provincial Science and Technology Department"},{"id":"https://openalex.org/G8783167289","display_name":null,"funder_award_id":"2012ZX10001001-006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321471","display_name":"Hunan Provincial Science and Technology Department","ror":"https://ror.org/04qgr7x96"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1999752002.pdf","grobid_xml":"https://content.openalex.org/works/W1999752002.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1880793639","https://openalex.org/W1900371862","https://openalex.org/W1969453373","https://openalex.org/W1976269978","https://openalex.org/W1976575554","https://openalex.org/W1988109666","https://openalex.org/W1988617334","https://openalex.org/W1989990946","https://openalex.org/W1995473414","https://openalex.org/W1996802985","https://openalex.org/W2014116791","https://openalex.org/W2033844773","https://openalex.org/W2034987721","https://openalex.org/W2042091478","https://openalex.org/W2056717940","https://openalex.org/W2061188955","https://openalex.org/W2073706873","https://openalex.org/W2079782852","https://openalex.org/W2082574814","https://openalex.org/W2085731568","https://openalex.org/W2091249822","https://openalex.org/W2092130541","https://openalex.org/W2112823392","https://openalex.org/W2115260232","https://openalex.org/W2115763425","https://openalex.org/W2117288934","https://openalex.org/W2139209018","https://openalex.org/W2160121923"],"related_works":["https://openalex.org/W4280579534","https://openalex.org/W2407712845","https://openalex.org/W3068859459","https://openalex.org/W2917177193","https://openalex.org/W2981305970","https://openalex.org/W2018232565","https://openalex.org/W2055077105","https://openalex.org/W2497626843","https://openalex.org/W1702564586","https://openalex.org/W2783079625"],"abstract_inverted_index":{"The":[0],"asymptotic":[1,52],"behavior":[2,53],"of":[3,6,51,60,79],"a":[4],"class":[5],"switched":[7],"stochastic":[8,35],"cellular":[9],"neural":[10],"networks":[11],"(CNNs)":[12],"with":[13],"mixed":[14],"delays":[15,18],"(discrete":[16],"time-varying":[17,21],"and":[19,38,63],"distributed":[20],"delays)":[22],"is":[23,73],"investigated":[24],"in":[25],"this":[26],"paper.":[27],"Employing":[28],"the":[29,49,58,64,77,80],"average":[30],"dwell":[31],"time":[32],"approach":[33],"(ADT),":[34],"analysis":[36],"technology,":[37],"linear":[39],"matrix":[40],"inequalities":[41],"technique":[42],"(LMI),":[43],"some":[44],"novel":[45],"sufficient":[46],"conditions":[47],"on":[48],"issue":[50],"(the":[54],"mean-square":[55,65],"ultimate":[56],"boundedness,":[57],"existence":[59],"an":[61],"attractor,":[62],"exponential":[66],"stability)":[67],"are":[68],"established.":[69],"A":[70],"numerical":[71],"example":[72],"provided":[74],"to":[75],"illustrate":[76],"effectiveness":[78],"proposed":[81],"results.":[82]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2025-10-10T00:00:00"}
