{"id":"https://openalex.org/W2979685685","doi":"https://doi.org/10.1109/access.2019.2945935","title":"$H_{\\infty}$ Control for Discrete-Time Markov Jump Linear Systems via Static Output Feedback","display_name":"$H_{\\infty}$ Control for Discrete-Time Markov Jump Linear Systems via Static Output Feedback","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2979685685","doi":"https://doi.org/10.1109/access.2019.2945935","mag":"2979685685"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2945935","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2945935","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2019.2945935","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103888423","display_name":"Xue Liang","orcid":null},"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":"Xue Liang","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101841009","display_name":"Xian Zhang","orcid":"https://orcid.org/0000-0001-7023-7351"},"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":false,"raw_author_name":"Xian Zhang","raw_affiliation_strings":["Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103888423"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6653,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70683314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"145363","last_page":"145370"},"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":1.0,"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":1.0,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9945999979972839,"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/T11236","display_name":"Control Systems and Identification","score":0.9937999844551086,"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/control-theory","display_name":"Control theory (sociology)","score":0.7139606475830078},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6395472288131714},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6117052435874939},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6031070947647095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5223799347877502},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5188552141189575},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4780576527118683},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4587670862674713},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4450927972793579},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4425675570964813},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.41295015811920166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37635403871536255},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3227967321872711},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21359655261039734},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17586848139762878}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7139606475830078},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6395472288131714},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6117052435874939},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6031070947647095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5223799347877502},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5188552141189575},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4780576527118683},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4587670862674713},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4450927972793579},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4425675570964813},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.41295015811920166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37635403871536255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3227967321872711},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21359655261039734},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17586848139762878},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":2,"locations":[{"id":"doi:10.1109/access.2019.2945935","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2945935","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c7a96a129a2445e99206c684c24ddd00","is_oa":true,"landing_page_url":"https://doaj.org/article/c7a96a129a2445e99206c684c24ddd00","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 145363-145370 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2945935","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2945935","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6675606723","display_name":null,"funder_award_id":"LH2019F030","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"}],"funders":[{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1502439507","https://openalex.org/W1523417443","https://openalex.org/W1532967255","https://openalex.org/W1581517769","https://openalex.org/W1895568611","https://openalex.org/W1960966972","https://openalex.org/W1966725215","https://openalex.org/W1976934033","https://openalex.org/W1980385687","https://openalex.org/W1983491872","https://openalex.org/W1989212203","https://openalex.org/W2019017209","https://openalex.org/W2022863828","https://openalex.org/W2043165119","https://openalex.org/W2067280782","https://openalex.org/W2070133150","https://openalex.org/W2072467824","https://openalex.org/W2075735270","https://openalex.org/W2078986658","https://openalex.org/W2079538138","https://openalex.org/W2094073637","https://openalex.org/W2102528847","https://openalex.org/W2112893311","https://openalex.org/W2116680678","https://openalex.org/W2121236269","https://openalex.org/W2139025031","https://openalex.org/W2140902856","https://openalex.org/W2143436877","https://openalex.org/W2151358087","https://openalex.org/W2201712813","https://openalex.org/W2528697851","https://openalex.org/W2599235009","https://openalex.org/W2769378795","https://openalex.org/W2793982551","https://openalex.org/W2797947895","https://openalex.org/W2802252324","https://openalex.org/W2804783771","https://openalex.org/W2884216626","https://openalex.org/W2921881515","https://openalex.org/W2930653617","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2364185937","https://openalex.org/W2121801708","https://openalex.org/W2367378039","https://openalex.org/W2142189599","https://openalex.org/W2921693184","https://openalex.org/W836021966","https://openalex.org/W2031688084","https://openalex.org/W2378126235","https://openalex.org/W1986824406","https://openalex.org/W3047092141"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,33,36,59,73,86,94,101,105,129,143,146,151,154,161,167],"problem":[4],"of":[5,21,38,76,107,115,145,157],"H":[6,69,96],"control":[7],"for":[8,104],"discrete-time":[9],"Markov":[10,22],"jump":[11],"linear":[12,116],"systems":[13],"via":[14],"static":[15,77,130],"output":[16,78,131],"feedback.":[17],"The":[18],"transition":[19,45],"probabilities":[20],"chain":[23],"are":[24,109],"assumed":[25],"to":[26,83,127,141],"be":[27],"partly":[28],"unknown.":[29],"First,":[30],"by":[31],"utilizing":[32],"properties":[34],"that":[35,58,85],"sum":[37],"each":[39],"row":[40],"is":[41,55,63,81,90,125,139,164,172],"one":[42],"in":[43,113,160],"a":[44,52,67,119,136],"probability":[46],"matrix":[47,117,158],"and":[48,166],"constructing":[49],"Lyapunov":[50],"function,":[51],"sufficient":[53],"condition":[54],"established":[56],"such":[57],"system":[60,89],"under":[61],"consideration":[62],"stochastically":[64,91],"stable":[65,92],"with":[66,93,150],"pre-specified":[68,95],"performance":[70,97,169],"index.":[71],"Second,":[72],"design":[74],"method":[75,163],"feedback":[79,132],"controller":[80,133],"proposed":[82,162],"guarantee":[84],"resultant":[87],"closed-loop":[88],"index":[98,170],"\u03b3.":[99],"Since":[100],"conditions":[102],"obtained":[103,171],"existence":[106],"controllers":[108],"not":[110],"expressed":[111],"strictly":[112],"terms":[114],"inequalities,":[118],"modified":[120],"cone":[121],"complementarity":[122],"linearization":[123],"algorithm":[124],"given":[126],"solve":[128],"gains.":[134],"Finally,":[135],"numerical":[137],"example":[138],"presented":[140],"show":[142],"effectiveness":[144],"theoretic":[147],"results.":[148],"Compared":[149],"existing":[152],"literature,":[153],"total":[155],"number":[156],"inequalities":[159],"less,":[165],"optimal":[168],"smaller.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-10-18T00:00:00"}
