{"id":"https://openalex.org/W2077079233","doi":"https://doi.org/10.1016/s0005-1098(03)00133-x","title":"Stability of Markov modulated discrete-time dynamic systems","display_name":"Stability of Markov modulated discrete-time dynamic systems","publication_year":2003,"publication_date":"2003-06-02","ids":{"openalex":"https://openalex.org/W2077079233","doi":"https://doi.org/10.1016/s0005-1098(03)00133-x","mag":"2077079233"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(03)00133-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(03)00133-x","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/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":true,"raw_author_name":"G. Yin","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI 48202, USA","Department of Mathematics, Wayne State University Detroit, MI 48202, USA"],"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, MI 48202, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022170736","display_name":"Qing Zhang","orcid":"https://orcid.org/0000-0002-8846-5587"},"institutions":[{"id":"https://openalex.org/I165733156","display_name":"University of Georgia","ror":"https://ror.org/00te3t702","country_code":"US","type":"education","lineage":["https://openalex.org/I165733156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Q. Zhang","raw_affiliation_strings":["Department of Mathematics, University of Georgia, Athens, GA 30602, USA","Department of Mathematics University of Georgia, Athens, GA 30602 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Georgia, Athens, GA 30602, USA","institution_ids":["https://openalex.org/I165733156"]},{"raw_affiliation_string":"Department of Mathematics University of Georgia, Athens, GA 30602 USA","institution_ids":["https://openalex.org/I165733156"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008853967"],"corresponding_institution_ids":["https://openalex.org/I185443292"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":0.819,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79263794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"8","first_page":"1339","last_page":"1351"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9900000095367432,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9839000105857849,"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/markov-chain","display_name":"Markov chain","score":0.7644295692443848},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6824106574058533},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.629559338092804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5928130149841309},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5832608342170715},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5762902498245239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4834076464176178},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.482006698846817},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.43432047963142395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30145785212516785},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1938987374305725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.164372056722641},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10664024949073792},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09172767400741577},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0693868100643158}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7644295692443848},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6824106574058533},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.629559338092804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5928130149841309},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5832608342170715},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5762902498245239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4834076464176178},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.482006698846817},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.43432047963142395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30145785212516785},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1938987374305725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.164372056722641},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10664024949073792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09172767400741577},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0693868100643158},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0005-1098(03)00133-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(03)00133-x","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310010","display_name":"University of Georgia","ror":"https://ror.org/00te3t702"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W10227384","https://openalex.org/W582905957","https://openalex.org/W1510122527","https://openalex.org/W1530239534","https://openalex.org/W1538567442","https://openalex.org/W1595143760","https://openalex.org/W1975083310","https://openalex.org/W1990784704","https://openalex.org/W1996194659","https://openalex.org/W2000522534","https://openalex.org/W2007214137","https://openalex.org/W2011961136","https://openalex.org/W2012926794","https://openalex.org/W2029511218","https://openalex.org/W2032309370","https://openalex.org/W2043433566","https://openalex.org/W2043917161","https://openalex.org/W2050206842","https://openalex.org/W2058599354","https://openalex.org/W2068385125","https://openalex.org/W2092911205","https://openalex.org/W2118741873","https://openalex.org/W2121732953","https://openalex.org/W2126562544","https://openalex.org/W2126794261","https://openalex.org/W2128207259","https://openalex.org/W2147889800","https://openalex.org/W2149308614","https://openalex.org/W2151892901","https://openalex.org/W2161852506","https://openalex.org/W2531891978","https://openalex.org/W2566720177","https://openalex.org/W2578937546","https://openalex.org/W4210417410","https://openalex.org/W4231149212","https://openalex.org/W4232095703","https://openalex.org/W4302033506"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W1965992231","https://openalex.org/W4244250045","https://openalex.org/W296145649","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}