{"id":"https://openalex.org/W2009017115","doi":"https://doi.org/10.1142/s0219878909001758","title":"ROBUST EXPONENTIAL STABILITY OF STOCHASTIC TIME-DELAY SYSTEMS WITH UNCERTAINTIES AND NONLINEAR PERTURBATIONS","display_name":"ROBUST EXPONENTIAL STABILITY OF STOCHASTIC TIME-DELAY SYSTEMS WITH UNCERTAINTIES AND NONLINEAR PERTURBATIONS","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2009017115","doi":"https://doi.org/10.1142/s0219878909001758","mag":"2009017115"},"language":"en","primary_location":{"id":"doi:10.1142/s0219878909001758","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219878909001758","pdf_url":null,"source":{"id":"https://openalex.org/S186208447","display_name":"International Journal of Information Acquisition","issn_l":"0219-8789","issn":["0219-8789","1793-6985"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Acquisition","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/A5079742998","display_name":"Huaicheng Yan","orcid":"https://orcid.org/0000-0001-5496-1809"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HUAICHENG YAN","raw_affiliation_strings":["Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021531143","display_name":"Max Q.\u2010H. Meng","orcid":"https://orcid.org/0000-0002-5255-5898"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MAX Q.-H. MENG","raw_affiliation_strings":["Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108577371","display_name":"Xinhan Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XINHAN HUANG","raw_affiliation_strings":["Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","Department of Control Science and Engineering , Huazhong University of Science and Technology , Wuhan , 430074, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Department of Control Science and Engineering , Huazhong University of Science and Technology , Wuhan , 430074, P.R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100396911","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0002-4527-9610"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HAO ZHANG","raw_affiliation_strings":["Department of Control Science and Engineering, Tongji University, Shanghai 200092, P. R. China","Department of Control Science and Engineering, Tongji University, Shanghai, 200092, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai 200092, P. R. China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering, Tongji University, Shanghai, 200092, P. R. China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079742998"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.7654,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7582904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"01","first_page":"61","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9995999932289124,"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/T10244","display_name":"Chaos control and synchronization","score":0.989300012588501,"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/weighting","display_name":"Weighting","score":0.6568979620933533},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6191184520721436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5800927877426147},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5224177837371826},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4982798099517822},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4800606667995453},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4532429575920105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4237278997898102},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.412764310836792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39082273840904236},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3206573724746704},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08051732182502747},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06753167510032654}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.6568979620933533},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6191184520721436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5800927877426147},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5224177837371826},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4982798099517822},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4800606667995453},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4532429575920105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4237278997898102},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.412764310836792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39082273840904236},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3206573724746704},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08051732182502747},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06753167510032654},{"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/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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219878909001758","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219878909001758","pdf_url":null,"source":{"id":"https://openalex.org/S186208447","display_name":"International Journal of Information Acquisition","issn_l":"0219-8789","issn":["0219-8789","1793-6985"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Acquisition","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W214655725","https://openalex.org/W1506185406","https://openalex.org/W1575430033","https://openalex.org/W1991947387","https://openalex.org/W1995502176","https://openalex.org/W2044633473","https://openalex.org/W2054534795","https://openalex.org/W2059279280","https://openalex.org/W2059437414","https://openalex.org/W2065740685","https://openalex.org/W2067203096","https://openalex.org/W2079078233","https://openalex.org/W2096699876","https://openalex.org/W2102396280","https://openalex.org/W2122125075","https://openalex.org/W2125414595","https://openalex.org/W2141604475","https://openalex.org/W2144795039","https://openalex.org/W2145369171","https://openalex.org/W2146239824","https://openalex.org/W2160045107","https://openalex.org/W2169052930","https://openalex.org/W2170354024","https://openalex.org/W3210839039","https://openalex.org/W4235816940"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W1707372784","https://openalex.org/W2096006843"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,35,68,73,113,116,119],"delay-dependent":[4,30,87],"robust":[5,31],"exponential":[6,32],"mean-square":[7],"stability":[8,33,88],"analysis":[9],"problem":[10],"is":[11],"considered":[12],"for":[13],"a":[14,49,93],"class":[15],"of":[16,42,57,75,95,118],"uncertain":[17],"stochastic":[18],"systems":[19],"with":[20],"time-varying":[21],"delay":[22],"and":[23,53,115],"nonlinear":[24],"perturbations.":[25],"Some":[26],"sufficient":[27],"conditions":[28],"on":[29],"in":[34,40],"mean":[36],"square":[37],"are":[38,90,109],"established":[39],"terms":[41],"linear":[43],"matrix":[44],"inequalities":[45],"(LMIs)":[46],"by":[47,54,102],"exploiting":[48],"novel":[50],"Lyapunov\u2013Krasovskii":[51],"functional":[52],"making":[55],"use":[56],"zero":[58],"equations":[59],"methods.":[60],"These":[61],"developed":[62],"results":[63],"indicate":[64],"less":[65],"conservatism":[66],"than":[67],"existing":[69],"ones":[70],"due":[71],"to":[72,111],"introduction":[74],"some":[76],"free":[77],"weighting":[78],"matrices":[79],"which":[80,97],"can":[81,98],"be":[82,99],"selected":[83],"properly.":[84],"The":[85],"new":[86],"criteria":[89],"expressed":[91],"as":[92],"set":[94],"LMIs,":[96],"readily":[100],"solved":[101],"using":[103],"standard":[104],"numerical":[105],"software.":[106],"Numerical":[107],"examples":[108],"provided":[110],"demonstrate":[112],"effectiveness":[114],"applicability":[117],"proposed":[120],"criteria.":[121]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
