{"id":"https://openalex.org/W1990008142","doi":"https://doi.org/10.1109/cdc.2013.6760354","title":"Optimal ensemble control of stochastic linear systems","display_name":"Optimal ensemble control of stochastic linear systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1990008142","doi":"https://doi.org/10.1109/cdc.2013.6760354","mag":"1990008142"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5075561806","display_name":"Ji Qi","orcid":"https://orcid.org/0000-0002-0539-8818"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ji Qi","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024207408","display_name":"Anatoly Zlotnik","orcid":"https://orcid.org/0000-0002-2646-8264"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anatoly Zlotnik","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079314465","display_name":"Jr-Shin Li","orcid":"https://orcid.org/0000-0001-6693-3979"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jr-Shin Li","raw_affiliation_strings":["Faculty of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","Fac. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Systems Engineering, Washington University, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Fac. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3091","last_page":"3096"},"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":0.9890000224113464,"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":0.9890000224113464,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/optimal-control","display_name":"Optimal control","score":0.5703542232513428},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.5669340491294861},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5630168914794922},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5587478876113892},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.551882266998291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5247907042503357},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5216322541236877},{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"Stochastic resonance","score":0.5154955983161926},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.501983642578125},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49679210782051086},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.47729384899139404},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46683064103126526},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.415517121553421},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.41330140829086304},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3850216865539551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29212138056755066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2849213480949402},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17512786388397217},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12383976578712463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1046518087387085}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5703542232513428},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.5669340491294861},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5630168914794922},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5587478876113892},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.551882266998291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5247907042503357},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5216322541236877},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.5154955983161926},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.501983642578125},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49679210782051086},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.47729384899139404},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46683064103126526},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.415517121553421},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.41330140829086304},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3850216865539551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29212138056755066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2849213480949402},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17512786388397217},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12383976578712463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1046518087387085},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760354","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W215279382","https://openalex.org/W641617372","https://openalex.org/W1485493107","https://openalex.org/W1574237139","https://openalex.org/W1989521361","https://openalex.org/W2011989099","https://openalex.org/W2066670506","https://openalex.org/W2069879263","https://openalex.org/W2079951449","https://openalex.org/W2103854823","https://openalex.org/W2114265982","https://openalex.org/W2132993835","https://openalex.org/W2140753922","https://openalex.org/W2146504107","https://openalex.org/W2502413221","https://openalex.org/W3150094025","https://openalex.org/W4238187298"],"related_works":["https://openalex.org/W2065669092","https://openalex.org/W3143465902","https://openalex.org/W2052273280","https://openalex.org/W2378015512","https://openalex.org/W2043451106","https://openalex.org/W2074410774","https://openalex.org/W1586295832","https://openalex.org/W3209963189","https://openalex.org/W1966477623","https://openalex.org/W2061548934"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,35,88,115,120],"optimal":[3,116,128],"guidance":[4],"of":[5,8,26,37,41,90],"an":[6],"ensemble":[7,43,91,135],"independent,":[9],"structurally":[10],"identical,":[11],"finite-dimensional":[12],"stochastic":[13,60,94],"linear":[14,95],"systems":[15,45,96],"with":[16,97],"variation":[17,55],"in":[18,53,56,73],"system":[19,57],"parameters":[20,58],"between":[21],"initial":[22],"and":[23,59,81,100,109,113,138],"target":[24],"states":[25],"interest":[27],"by":[28,48],"applying":[29],"a":[30],"common":[31],"control":[32,44,50,92,136],"function":[33],"without":[34],"use":[36],"feedback.":[38],"Our":[39],"exploration":[40],"such":[42,71],"is":[46,69,125],"motivated":[47],"practical":[49],"design":[51,75],"problems":[52],"which":[54,102],"effects":[61],"must":[62],"be":[63],"compensated":[64],"for":[65,76,132],"when":[66],"state":[67],"feedback":[68],"unavailable,":[70],"as":[72],"pulse":[74],"nuclear":[77],"magnetic":[78],"resonance":[79],"spectroscopy":[80],"imaging.":[82],"In":[83],"this":[84],"paper,":[85],"we":[86,103],"extend":[87],"notion":[89],"to":[93,144],"additive":[98],"noise":[99,108],"jumps,":[101],"model":[104],"using":[105],"white":[106],"Gaussian":[107],"Poisson":[110],"counters,":[111],"respectively,":[112],"investigate":[114],"steering":[117],"problem":[118],"where":[119],"terminal":[121],"mean":[122],"square":[123],"error":[124],"minimized.":[126],"The":[127],"controls":[129],"are":[130,142],"generated":[131],"several":[133],"example":[134],"problems,":[137],"Monte":[139],"Carlo":[140],"simulations":[141],"used":[143],"illustrate":[145],"their":[146],"performance.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
