{"id":"https://openalex.org/W2810611049","doi":"https://doi.org/10.1109/tac.2018.2852607","title":"On the Asymptotic Behavior for Neutral Stochastic Differential Delay Equations","display_name":"On the Asymptotic Behavior for Neutral Stochastic Differential Delay Equations","publication_year":2018,"publication_date":"2018-07-02","ids":{"openalex":"https://openalex.org/W2810611049","doi":"https://doi.org/10.1109/tac.2018.2852607","mag":"2810611049"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2852607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2852607","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5017546410","display_name":"Huabin Chen","orcid":"https://orcid.org/0000-0002-8785-4126"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huabin Chen","raw_affiliation_strings":["Department of Mathematics, School of Science, Nanchang University, Nanchang, China"],"raw_orcid":"https://orcid.org/0000-0002-8785-4126","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100400931","display_name":"Chenggui Yuan","orcid":"https://orcid.org/0000-0003-0486-5450"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chenggui Yuan","raw_affiliation_strings":["Department of Mathematics, Swansea University, Swansea, U.K"],"raw_orcid":"https://orcid.org/0000-0003-0486-5450","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Swansea University, Swansea, U.K","institution_ids":["https://openalex.org/I39586589"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2783,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.80778118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"64","issue":"4","first_page":"1671","last_page":"1678"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.998199999332428,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.8274710178375244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7447734475135803},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7347420454025269},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6085783839225769},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5916006565093994},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5727754831314087},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5707007646560669},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.52106112241745},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.46179839968681335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45394495129585266},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44607216119766235},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4439474046230316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42213913798332214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08941110968589783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061622798442840576}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.8274710178375244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7447734475135803},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7347420454025269},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6085783839225769},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5916006565093994},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5727754831314087},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5707007646560669},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.52106112241745},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.46179839968681335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45394495129585266},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44607216119766235},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4439474046230316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42213913798332214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08941110968589783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061622798442840576},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2018.2852607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2852607","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3990286354","display_name":null,"funder_award_id":"11401292","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4363365247","display_name":null,"funder_award_id":"61773401","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7015579288","display_name":null,"funder_award_id":"61364005","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1505057802","https://openalex.org/W1607633954","https://openalex.org/W1983833782","https://openalex.org/W2002434415","https://openalex.org/W2003949015","https://openalex.org/W2010356453","https://openalex.org/W2029588107","https://openalex.org/W2034617879","https://openalex.org/W2038109870","https://openalex.org/W2041806203","https://openalex.org/W2042703621","https://openalex.org/W2060754223","https://openalex.org/W2064633457","https://openalex.org/W2074363691","https://openalex.org/W2108134079","https://openalex.org/W2114944911","https://openalex.org/W2123770826","https://openalex.org/W2147275052","https://openalex.org/W2150942197","https://openalex.org/W2151398333","https://openalex.org/W2165418291","https://openalex.org/W2166029418","https://openalex.org/W2223247396","https://openalex.org/W2326010876","https://openalex.org/W2400848186","https://openalex.org/W2400963224","https://openalex.org/W2403489772","https://openalex.org/W2502612839","https://openalex.org/W2962819333","https://openalex.org/W4211202937","https://openalex.org/W6684517409","https://openalex.org/W6688820575"],"related_works":["https://openalex.org/W2037140903","https://openalex.org/W2964120842","https://openalex.org/W175486093","https://openalex.org/W2963662567","https://openalex.org/W4377938812","https://openalex.org/W4321473471","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663","https://openalex.org/W1864017312"],"abstract_inverted_index":{"This":[0],"note":[1],"investigates":[2],"the":[3,10,13,18,48,61,65,70,77,81,86,106,115,118],"existence":[4],"and":[5,37,52,69,85,105],"uniqueness":[6],"as":[7,9],"well":[8],"stability":[11,42,63,79],"of":[12,17,98,117],"general":[14],"decay":[15],"rate":[16],"global":[19],"solution":[20],"for":[21],"neutral":[22],"stochastic":[23,54],"differential":[24],"equations":[25],"with":[26],"time-varying":[27],"delay":[28],"under":[29],"a":[30,34,38,99,103],"locally":[31],"Lipschitz":[32],"condition,":[33,36],"contractive":[35],"monotonicity":[39],"condition.":[40],"The":[41],"results":[43],"are":[44,111],"derived":[45],"by":[46],"using":[47],"Lyapunov":[49],"function":[50],"approach":[51],"some":[53],"analysis":[55],"techniques,":[56],"which":[57],"not":[58],"only":[59],"cover":[60],"exponential":[62,73],"in":[64,80],"pth(p":[66,82],">":[67,83],"0)-moment":[68,84],"almost":[71,87],"sure":[72,88],"stability,":[74],"but":[75],"also":[76],"polynomial":[78,89],"stability.":[90],"Two":[91],"examples":[92],"including":[93],"one":[94],"coupled":[95],"system":[96],"consisting":[97],"mass-spring-damper":[100],"connected":[101],"to":[102,113],"pendulum":[104],"nonlinear":[107],"external":[108],"random":[109],"force":[110],"given":[112],"illustrate":[114],"effectiveness":[116],"obtained":[119],"results.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}