{"id":"https://openalex.org/W3006063251","doi":"https://doi.org/10.1109/tcsii.2020.2973302","title":"Linear Quadratic Regulator of Discrete-Time Switched Linear Systems","display_name":"Linear Quadratic Regulator of Discrete-Time Switched Linear Systems","publication_year":2020,"publication_date":"2020-02-11","ids":{"openalex":"https://openalex.org/W3006063251","doi":"https://doi.org/10.1109/tcsii.2020.2973302","mag":"3006063251"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2020.2973302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2020.2973302","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5071493204","display_name":"Guangyu Wu","orcid":"https://orcid.org/0000-0001-6562-4242"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guangyu Wu","raw_affiliation_strings":["Clean Energy Automotive Engineering Center, School of Automotive Studies, Tongji University, Shanghai, China","Postdoctoral Station of Mechanical Engineering, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Clean Energy Automotive Engineering Center, School of Automotive Studies, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Postdoctoral Station of Mechanical Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100379486","display_name":"Lu Xiong","orcid":"https://orcid.org/0000-0002-1673-2658"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Xiong","raw_affiliation_strings":["Clean Energy Automotive Engineering Center, School of Automotive Studies, Tongji University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Clean Energy Automotive Engineering Center, School of Automotive Studies, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367403","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0002-7266-2412"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100701131","display_name":"Jian Sun","orcid":"https://orcid.org/0000-0001-9898-3129"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Sun","raw_affiliation_strings":["State Key Lab of Intelligent Control and Decision of Complex Systems and the School of Automation, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Lab of Intelligent Control and Decision of Complex Systems and the School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071493204"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":0.1488,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41872346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":"12","first_page":"3113","last_page":"3117"},"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":0.9984999895095825,"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":0.9984999895095825,"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":0.9984999895095825,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9962000250816345,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6135029792785645},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.580858051776886},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5654306411743164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.53934645652771},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5157651901245117},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5137161016464233},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.49091702699661255},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4789291322231293},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4682558476924896},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.46688762307167053},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45195454359054565},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4260181784629822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4193277060985565},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4181552529335022}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6135029792785645},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.580858051776886},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5654306411743164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.53934645652771},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5157651901245117},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5137161016464233},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.49091702699661255},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4789291322231293},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4682558476924896},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.46688762307167053},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45195454359054565},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4260181784629822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4193277060985565},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4181552529335022},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2020.2973302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2020.2973302","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G1515802232","display_name":null,"funder_award_id":"1711471","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4232543837","display_name":null,"funder_award_id":"1514056","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G570175137","display_name":null,"funder_award_id":"61621063","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5702282270","display_name":null,"funder_award_id":"U19A2069","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5993403745","display_name":null,"funder_award_id":"51975414","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G687844619","display_name":null,"funder_award_id":"IRT1208","funder_id":"https://openalex.org/F4320338204","funder_display_name":"Program for Changjiang Scholars and Innovative Research Team in University"},{"id":"https://openalex.org/G7503587816","display_name":null,"funder_award_id":"61522303","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8812163771","display_name":null,"funder_award_id":"U1509215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338204","display_name":"Program for Changjiang Scholars and Innovative Research Team in University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1996362373","https://openalex.org/W2019527368","https://openalex.org/W2041454172","https://openalex.org/W2057794519","https://openalex.org/W2067480733","https://openalex.org/W2098432798","https://openalex.org/W2117271243","https://openalex.org/W2120313575","https://openalex.org/W2134930569","https://openalex.org/W2143927931","https://openalex.org/W2145030746","https://openalex.org/W2147945164","https://openalex.org/W2151421095","https://openalex.org/W2153618238","https://openalex.org/W2158625202","https://openalex.org/W2163900241","https://openalex.org/W2530421925","https://openalex.org/W2893568750","https://openalex.org/W4247645076","https://openalex.org/W6682805322"],"related_works":["https://openalex.org/W2373300491","https://openalex.org/W2395294869","https://openalex.org/W2378744544","https://openalex.org/W2594301978","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2895393216"],"abstract_inverted_index":{"This":[0,30],"brief":[1,85],"studies":[2],"the":[3,27,60,72,92,97,101,114],"linear":[4,11],"quadratic":[5,37],"regulation":[6],"problem":[7],"of":[8,50,83,90,106,117],"discrete-time":[9],"switched":[10],"systems":[12],"via":[13],"dynamic":[14],"programming.":[15],"Discrete":[16],"decision":[17],"variables":[18],"(referred":[19],"as":[20,77],"switch":[21],"inputs)":[22],"are":[23],"introduced":[24],"to":[25,33,43],"represent":[26],"subsystem":[28,98],"selection.":[29],"formulation":[31],"leads":[32],"a":[34,67,78,125],"mixed":[35],"integer":[36],"programming":[38],"problem,":[39],"which":[40],"is":[41,64,75,86,108,120],"known":[42],"be":[44],"computationally":[45,68],"hard":[46],"in":[47,66,128],"general.":[48],"Instead":[49],"deriving":[51],"suboptimal":[52],"policies":[53],"with":[54,130],"analytical":[55,88],"bounds":[56],"on":[57,124],"its":[58],"optimality,":[59],"optimal":[61,93,102],"switching":[62,94],"sequence":[63],"computed":[65],"efficient":[69],"manner":[70],"when":[71],"input":[73],"matrix":[74],"restricted":[76],"vector.":[79],"The":[80],"unique":[81],"contribution":[82],"this":[84],"an":[87],"expression":[89],"both":[91],"condition":[95],"(determining":[96],"selection)":[99],"and":[100,113],"control":[103],"law.":[104],"Proof":[105],"optimality":[107],"presented":[109],"by":[110],"fractional":[111],"optimization":[112],"practical":[115],"merits":[116],"our":[118],"approach":[119],"validated":[121],"through":[122],"simulations":[123],"second-order":[126],"system":[127],"comparison":[129],"recent":[131],"pruning":[132],"methods.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
