{"id":"https://openalex.org/W3217120020","doi":"https://doi.org/10.1080/00207721.2021.2008043","title":"Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates","display_name":"Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates","publication_year":2021,"publication_date":"2021-11-28","ids":{"openalex":"https://openalex.org/W3217120020","doi":"https://doi.org/10.1080/00207721.2021.2008043","mag":"3217120020"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2021.2008043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.2008043","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"],"host_organization_lineage_names":["Taylor & Francis"],"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/A5100682191","display_name":"Fang Liu","orcid":"https://orcid.org/0000-0003-0750-8344"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fang Liu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-0750-8344","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024566577","display_name":"Qianyi Liu","orcid":"https://orcid.org/0000-0002-7439-5100"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianyi Liu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091128417","display_name":"Weiru Guo","orcid":"https://orcid.org/0000-0002-7390-0400"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiru Guo","raw_affiliation_strings":["School of Automation, Central South University, Changsha, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100355339","display_name":"Yong Li","orcid":"https://orcid.org/0000-0002-1183-5359"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Li","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100682191"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.1388,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.4811801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"53","issue":"12","first_page":"2612","last_page":"2623"},"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":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7640964388847351},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6264509558677673},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5310160517692566},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5146373510360718},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5119761228561401},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.5038840174674988},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45039457082748413},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.43397632241249084},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4290660619735718},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4204738736152649},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4202231466770172},{"id":"https://openalex.org/keywords/transition-rate-matrix","display_name":"Transition rate matrix","score":0.41831886768341064},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.4172842502593994},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.25705158710479736},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.23979327082633972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13707461953163147},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08694517612457275},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0651656985282898}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7640964388847351},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6264509558677673},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5310160517692566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5146373510360718},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5119761228561401},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.5038840174674988},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45039457082748413},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.43397632241249084},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4290660619735718},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4204738736152649},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4202231466770172},{"id":"https://openalex.org/C70557757","wikidata":"https://www.wikidata.org/wiki/Q7834432","display_name":"Transition rate matrix","level":2,"score":0.41831886768341064},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.4172842502593994},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.25705158710479736},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.23979327082633972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13707461953163147},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08694517612457275},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0651656985282898},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2021.2008043","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.2008043","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"],"host_organization_lineage_names":["Taylor & Francis"],"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"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2612-2623","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2021.2008043","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1839888244","display_name":null,"funder_award_id":"61973318","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1489051611","https://openalex.org/W1489872560","https://openalex.org/W1965632565","https://openalex.org/W1966472619","https://openalex.org/W1968902998","https://openalex.org/W1986582332","https://openalex.org/W2001114241","https://openalex.org/W2007828357","https://openalex.org/W2026750739","https://openalex.org/W2029397665","https://openalex.org/W2029612289","https://openalex.org/W2029819959","https://openalex.org/W2037644696","https://openalex.org/W2063432434","https://openalex.org/W2067280782","https://openalex.org/W2073688680","https://openalex.org/W2075735270","https://openalex.org/W2085726513","https://openalex.org/W2168138508","https://openalex.org/W2201712813","https://openalex.org/W2494211717","https://openalex.org/W2521394486","https://openalex.org/W2575158294","https://openalex.org/W2588591728","https://openalex.org/W2605988318","https://openalex.org/W2757866090","https://openalex.org/W2771237451","https://openalex.org/W2789570622","https://openalex.org/W2810315583","https://openalex.org/W2909439125","https://openalex.org/W2941911644","https://openalex.org/W2945886724","https://openalex.org/W2949785424","https://openalex.org/W2958459421","https://openalex.org/W2992179252","https://openalex.org/W3013649770","https://openalex.org/W3092990620","https://openalex.org/W3153800916","https://openalex.org/W3155821860","https://openalex.org/W4240729697","https://openalex.org/W4298863460","https://openalex.org/W4390545247"],"related_works":["https://openalex.org/W2181956924","https://openalex.org/W2146188408","https://openalex.org/W2025483324","https://openalex.org/W2166796864","https://openalex.org/W2156339635","https://openalex.org/W2098152723","https://openalex.org/W2468306076","https://openalex.org/W2077244994","https://openalex.org/W2012431763","https://openalex.org/W4234261790"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3],"the":[4,8,33,38,45,64,76,79],"stochastic":[5],"stability":[6,52],"of":[7,40,56,78],"Markovian":[9],"jump":[10],"systems":[11],"with":[12],"two":[13,69],"additive":[14],"mode-dependent":[15,26],"time-varying":[16],"delays":[17],"and":[18,32],"partially":[19],"known":[20],"transition":[21],"rates.":[22],"First,":[23],"a":[24],"novel":[25],"Lyapunov-Krasovskii":[27],"functional":[28],"(LKF)":[29],"is":[30],"constructed":[31],"single":[34],"integral":[35,48],"terms":[36,55],"in":[37,54],"derivative":[39],"LKF":[41],"are":[42,60,72],"estimated":[43],"by":[44,62],"generalised":[46],"free-weighting-matrix-based":[47],"inequality.":[49],"Then,":[50],"some":[51],"criteria":[53],"linear":[57],"matrix":[58],"inequalities":[59],"obtained":[61],"using":[63],"convex":[65],"combination":[66],"technique.":[67],"Finally,":[68],"numerical":[70],"examples":[71],"presented":[73],"to":[74],"illustrate":[75],"feasibility":[77],"proposed":[80],"method.":[81]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
