{"id":"https://openalex.org/W1978390050","doi":"https://doi.org/10.1080/00207720903366031","title":"A new delay-dependent exponential stability criterion for It\u00f4 stochastic systems with Markovian switching and time-varying delay","display_name":"A new delay-dependent exponential stability criterion for It\u00f4 stochastic systems with Markovian switching and time-varying delay","publication_year":2010,"publication_date":"2010-10-21","ids":{"openalex":"https://openalex.org/W1978390050","doi":"https://doi.org/10.1080/00207720903366031","mag":"1978390050"},"language":"en","primary_location":{"id":"doi:10.1080/00207720903366031","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720903366031","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5102810522","display_name":"Shen Cong","orcid":"https://orcid.org/0000-0002-9105-4332"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shen Cong","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin 150080, P.R. China","School of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin 150080, P.R. China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"School of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, P.R. China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058138487","display_name":"Yun Zou","orcid":"https://orcid.org/0000-0001-8408-4114"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun Zou","raw_affiliation_strings":["Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.R. China","Dept of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, P.R. China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"Dept of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102810522"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":null,"apc_paid":null,"fwci":9.2335,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.97115918,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"12","first_page":"1493","last_page":"1500"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9987999796867371,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5900343060493469},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5694360136985779},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4535166323184967},{"id":"https://openalex.org/keywords/acknowledgement","display_name":"Acknowledgement","score":0.4264673888683319},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4057701826095581},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3889541029930115},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3393741846084595},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09157192707061768},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07774147391319275},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07157158851623535}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5900343060493469},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5694360136985779},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4535166323184967},{"id":"https://openalex.org/C2777880217","wikidata":"https://www.wikidata.org/wiki/Q4674282","display_name":"Acknowledgement","level":2,"score":0.4264673888683319},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4057701826095581},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3889541029930115},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3393741846084595},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09157192707061768},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07774147391319275},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07157158851623535},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720903366031","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720903366031","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":22,"referenced_works":["https://openalex.org/W1506185406","https://openalex.org/W1973695175","https://openalex.org/W1980720537","https://openalex.org/W1985367784","https://openalex.org/W2000522534","https://openalex.org/W2013849029","https://openalex.org/W2017249824","https://openalex.org/W2051079365","https://openalex.org/W2054534795","https://openalex.org/W2061996363","https://openalex.org/W2102396280","https://openalex.org/W2122125075","https://openalex.org/W2123369396","https://openalex.org/W2130002084","https://openalex.org/W2138165690","https://openalex.org/W2144737232","https://openalex.org/W2160177588","https://openalex.org/W2164180153","https://openalex.org/W2168138508","https://openalex.org/W2467963231","https://openalex.org/W2579432226","https://openalex.org/W2796337403"],"related_works":["https://openalex.org/W1504381137","https://openalex.org/W4283656061","https://openalex.org/W2620413320","https://openalex.org/W3102611879","https://openalex.org/W4385757279","https://openalex.org/W2067129656","https://openalex.org/W2211012933","https://openalex.org/W1002241103","https://openalex.org/W2356873024","https://openalex.org/W2951286170"],"abstract_inverted_index":{"On":[0],"the":[1,4,7,11,31,41,57,61,71,75,79,85,92,104],"basis":[2],"of":[3,30,45,56,87],"Lyapunov\u2013Krasovskii":[5,43],"method,":[6],"exponential":[8],"stability":[9,80],"in":[10,60,74],"mean":[12],"square":[13],"sense":[14,55],"is":[15],"investigated":[16],"for":[17],"It\u00f4":[18],"stochastic":[19,62],"systems":[20],"with":[21,84],"Markovian":[22],"switching":[23],"and":[24,34,64,91],"time-varying":[25,96],"delay.":[26,97],"The":[27],"statistic":[28],"properties":[29],"Markov":[32],"process":[33],"Brownian":[35],"motion":[36],"are":[37,82,100],"employed":[38],"to":[39,53,69,102],"compute":[40],"constructed":[42],"functional":[44],"a":[46,67],"rather":[47],"general":[48],"form.":[49],"This":[50],"enables":[51],"us":[52],"make":[54],"challenging":[58],"problems":[59],"framework,":[63],"then":[65],"find":[66],"way":[68],"extend":[70],"techniques":[72],"developed":[73],"deterministic":[76],"framework.":[77],"Therefore,":[78],"conditions":[81,94],"established":[83],"aid":[86],"some":[88],"slack":[89],"matrices":[90],"boundary":[93],"on":[95],"Numerical":[98],"examples":[99],"given":[101],"demonstrate":[103],"reduced":[105],"conservatism.":[106]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
