{"id":"https://openalex.org/W4281767940","doi":"https://doi.org/10.1080/00207721.2022.2079754","title":"Indefinite linear quadratic optimal control for continuous-time rectangular descriptor Markov jump systems: infinite-time case","display_name":"Indefinite linear quadratic optimal control for continuous-time rectangular descriptor Markov jump systems: infinite-time case","publication_year":2022,"publication_date":"2022-05-31","ids":{"openalex":"https://openalex.org/W4281767940","doi":"https://doi.org/10.1080/00207721.2022.2079754"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2022.2079754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2079754","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/A5103173483","display_name":"Song Xue","orcid":"https://orcid.org/0000-0003-1573-5803"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Song","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100734117","display_name":"Shuping Ma","orcid":"https://orcid.org/0000-0003-3591-6361"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuping Ma","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100734117"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.4692,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59759992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"53","issue":"15","first_page":"3302","last_page":"3321"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9757999777793884,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9706000089645386,"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":0.6909872889518738},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5542880892753601},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5520997047424316},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5395656228065491},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.534426748752594},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5169165134429932},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4978218078613281},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.47807931900024414},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45103392004966736},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4483177661895752},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4371870160102844},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4354717433452606},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.42629313468933105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3939463794231415},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.34938856959342957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23843833804130554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15853190422058105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11456504464149475},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06725570559501648}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6909872889518738},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5542880892753601},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5520997047424316},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5395656228065491},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.534426748752594},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5169165134429932},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4978218078613281},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.47807931900024414},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45103392004966736},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4483177661895752},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4371870160102844},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4354717433452606},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.42629313468933105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3939463794231415},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.34938856959342957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23843833804130554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15853190422058105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11456504464149475},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06725570559501648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2022.2079754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2022.2079754","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:15:p:3302-3321","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2022.2079754","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/G7031715280","display_name":null,"funder_award_id":"61977042","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W578411849","https://openalex.org/W613462629","https://openalex.org/W746631863","https://openalex.org/W1520713361","https://openalex.org/W1984698378","https://openalex.org/W1999494181","https://openalex.org/W2015891954","https://openalex.org/W2025896625","https://openalex.org/W2034904073","https://openalex.org/W2037718330","https://openalex.org/W2040759244","https://openalex.org/W2051749144","https://openalex.org/W2055104656","https://openalex.org/W2068510817","https://openalex.org/W2076950879","https://openalex.org/W2077800640","https://openalex.org/W2105339831","https://openalex.org/W2127984068","https://openalex.org/W2132489916","https://openalex.org/W2144488633","https://openalex.org/W2147604458","https://openalex.org/W2173931892","https://openalex.org/W2304952538","https://openalex.org/W2473526392","https://openalex.org/W2522991164","https://openalex.org/W2559575112","https://openalex.org/W2599501144","https://openalex.org/W2608690663","https://openalex.org/W2626166132","https://openalex.org/W2789201047","https://openalex.org/W2802881426","https://openalex.org/W2806203169","https://openalex.org/W2895615279","https://openalex.org/W2908698915","https://openalex.org/W2942468310","https://openalex.org/W2951933541","https://openalex.org/W2996601232","https://openalex.org/W3004795801","https://openalex.org/W3013239244","https://openalex.org/W3016948769","https://openalex.org/W3045589852","https://openalex.org/W3086185801","https://openalex.org/W3129478595","https://openalex.org/W3133435396","https://openalex.org/W3137127746","https://openalex.org/W3205833391","https://openalex.org/W4200176158","https://openalex.org/W4205602477","https://openalex.org/W4206003484","https://openalex.org/W4210661935","https://openalex.org/W4239917959"],"related_works":["https://openalex.org/W2128702080","https://openalex.org/W2069359872","https://openalex.org/W2372573772","https://openalex.org/W2137150542","https://openalex.org/W2124575346","https://openalex.org/W2143724483","https://openalex.org/W2951321618","https://openalex.org/W2162316381","https://openalex.org/W4249349008","https://openalex.org/W2312228253"],"abstract_inverted_index":{"The":[0,138],"indefinite":[1],"linear":[2,75,108],"quadratic":[3],"(ILQ)":[4],"optimal":[5,70,133,139,150,171],"control":[6,71,140],"problem":[7,32,72,88,99,126],"has":[8,18,153],"many":[9],"important":[10],"applications":[11],"in":[12,22,45,196],"financial,":[13],"economic":[14],"systems,":[15,27],"etc.,":[16],"which":[17],"been":[19],"widely":[20],"researched":[21],"stochastic":[23],"systems":[24,38,103],"and":[25,48,59,83,130,147],"descriptor":[26,35,46],"etc.":[28],"However,":[29],"for":[30,73,89,100,127],"ILQ":[31,69,87,125],"of":[33,117,123,168,192],"rectangular":[34,76,90,128],"Markov":[36,101],"jump":[37,102],"(DMJSs),":[39],"because":[40],"there":[41,60],"are":[42,136,186],"impulses":[43],"simultaneously":[44],"subsystems":[47],"at":[49],"the":[50,68,86,114,119,124,131,148,154,165,169,190,193],"switching":[51],"time,":[52],"it":[53],"is":[54,61],"theoretically":[55],"difficult":[56],"to":[57,177,188],"research":[58],"no":[62],"result":[63],"yet.":[64],"This":[65],"paper":[66],"discusses":[67],"continuous-time":[74],"DMJSs.":[77],"Firstly,":[78],"under":[79],"some":[80,161],"rank":[81,162],"conditions":[82],"inequality":[84,163],"conditions,":[85],"DMJSs":[91,129],"can":[92,141,174],"be":[93,142,175],"equivalently":[94],"transformed":[95],"into":[96],"standard":[97],"LQ":[98,115],"(MJSs)":[104],"by":[105],"using":[106],"elementary":[107],"algebra":[109],"method.":[110],"Then":[111],"based":[112],"on":[113],"theory":[116],"MJSs,":[118],"solvable":[120],"sufficient":[121],"condition":[122],"non-negative":[132],"cost":[134],"value":[135],"obtained.":[137],"synthesised":[143],"as":[144],"state":[145],"feedback,":[146],"resulting":[149,170],"closed-loop":[151,172],"system":[152,173],"stochastically":[155],"stable":[156],"solution.":[157,181],"In":[158],"addition,":[159],"with":[160],"assumptions,":[164],"differential":[166],"subsystem":[167],"ensured":[176],"have":[178],"a":[179],"unique":[180],"Finally,":[182],"two":[183],"numerical":[184],"examples":[185],"provided":[187],"illustrate":[189],"effectiveness":[191],"methods":[194],"proposed":[195],"this":[197],"paper.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
