{"id":"https://openalex.org/W1171025027","doi":"https://doi.org/10.1007/s00521-015-2013-x","title":"Stability in distribution of stochastic delay recurrent neural networks with Markovian switching","display_name":"Stability in distribution of stochastic delay recurrent neural networks with Markovian switching","publication_year":2015,"publication_date":"2015-08-25","ids":{"openalex":"https://openalex.org/W1171025027","doi":"https://doi.org/10.1007/s00521-015-2013-x","mag":"1171025027"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-015-2013-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-015-2013-x","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5111909805","display_name":"Enwen Zhu","orcid":null},"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":"Enwen Zhu","raw_affiliation_strings":["School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410004, Hunan, People\u2019s Republic of China","School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, People's Republic of China 410004#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410004, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I56934997"]},{"raw_affiliation_string":"School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, People's Republic of China 410004#TAB#","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008853967","display_name":"George Yin","orcid":"https://orcid.org/0000-0002-2951-0704"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Yin","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","Department of Mathematics, Wayne State University, Detroit, USA 48202#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, USA 48202#TAB#","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068068317","display_name":"Quan Yuan","orcid":"https://orcid.org/0000-0002-9202-6878"},"institutions":[{"id":"https://openalex.org/I1921588","display_name":"University of Wisconsin\u2013Stout","ror":"https://ror.org/01gb8pc70","country_code":"US","type":"education","lineage":["https://openalex.org/I1921588"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quan Yuan","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, WI, 54751, USA","Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, USA 54751#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, WI, 54751, USA","institution_ids":["https://openalex.org/I1921588"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, USA 54751#TAB#","institution_ids":["https://openalex.org/I1921588"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111909805"],"corresponding_institution_ids":["https://openalex.org/I56934997"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.3593,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70875479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"7","first_page":"2141","last_page":"2151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/ergodic-theory","display_name":"Ergodic theory","score":0.6587752103805542},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5997083783149719},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.537176787853241},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5320364832878113},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.513272762298584},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.48948585987091064},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.48459184169769287},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4777928292751312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45919597148895264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44606345891952515},{"id":"https://openalex.org/keywords/continuous-time-stochastic-process","display_name":"Continuous-time stochastic process","score":0.4428724944591522},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4265669882297516},{"id":"https://openalex.org/keywords/stable-process","display_name":"Stable process","score":0.4132236838340759},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.41290485858917236},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3781405985355377},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.3561789393424988},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3533650040626526},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.1484244465827942},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1345519721508026},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09629294276237488},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08826678991317749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0780714750289917},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07219201326370239},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0661088228225708},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.062131404876708984}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6587752103805542},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5997083783149719},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.537176787853241},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5320364832878113},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.513272762298584},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.48948585987091064},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.48459184169769287},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4777928292751312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45919597148895264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44606345891952515},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.4428724944591522},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4265669882297516},{"id":"https://openalex.org/C123954133","wikidata":"https://www.wikidata.org/wiki/Q7595775","display_name":"Stable process","level":3,"score":0.4132236838340759},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.41290485858917236},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3781405985355377},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.3561789393424988},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3533650040626526},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.1484244465827942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1345519721508026},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09629294276237488},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08826678991317749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0780714750289917},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07219201326370239},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0661088228225708},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.062131404876708984},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-015-2013-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-015-2013-x","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1968117726","https://openalex.org/W1973274564","https://openalex.org/W1974356308","https://openalex.org/W1976575554","https://openalex.org/W1996368404","https://openalex.org/W2000303153","https://openalex.org/W2004867202","https://openalex.org/W2009475066","https://openalex.org/W2011274300","https://openalex.org/W2011812968","https://openalex.org/W2014116791","https://openalex.org/W2018542825","https://openalex.org/W2021647492","https://openalex.org/W2024413860","https://openalex.org/W2027945611","https://openalex.org/W2034266355","https://openalex.org/W2035646573","https://openalex.org/W2037644696","https://openalex.org/W2040688190","https://openalex.org/W2041085069","https://openalex.org/W2058231943","https://openalex.org/W2058636430","https://openalex.org/W2070922095","https://openalex.org/W2075671688","https://openalex.org/W2098856305","https://openalex.org/W2117586864","https://openalex.org/W2129721886","https://openalex.org/W2132552866","https://openalex.org/W2134510526","https://openalex.org/W2139354882","https://openalex.org/W2143142424","https://openalex.org/W2162056034","https://openalex.org/W2273939746","https://openalex.org/W2900812847","https://openalex.org/W4241765261"],"related_works":["https://openalex.org/W2134654202","https://openalex.org/W2057711290","https://openalex.org/W4298162610","https://openalex.org/W3048177030","https://openalex.org/W2950551861","https://openalex.org/W2026069322","https://openalex.org/W4300889323","https://openalex.org/W2070293309","https://openalex.org/W1971327519","https://openalex.org/W2963808895"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
