{"id":"https://openalex.org/W4403052611","doi":"https://doi.org/10.1109/tac.2024.3472788","title":"Optimal Covariance Steering for Discrete-Time Linear Stochastic Systems","display_name":"Optimal Covariance Steering for Discrete-Time Linear Stochastic Systems","publication_year":2024,"publication_date":"2024-10-02","ids":{"openalex":"https://openalex.org/W4403052611","doi":"https://doi.org/10.1109/tac.2024.3472788"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3472788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3472788","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5102730939","display_name":"Fengjiao Liu","orcid":"https://orcid.org/0000-0002-3599-6755"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I1323276237","display_name":"Florida A&M University - Florida State University College of Engineering","ror":"https://ror.org/01v4tq883","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165","https://openalex.org/I1323276237","https://openalex.org/I8248082"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fengjiao Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, FAMU-FSU College of Engineering, Tallahassee, FL, USA","School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, FAMU-FSU College of Engineering, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I1323276237"]},{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079918659","display_name":"George Rapakoulias","orcid":"https://orcid.org/0009-0000-8572-710X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Rapakoulias","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077667229","display_name":"Panagiotis Tsiotras","orcid":"https://orcid.org/0000-0001-7563-4129"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panagiotis Tsiotras","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102730939"],"corresponding_institution_ids":["https://openalex.org/I130701444","https://openalex.org/I1323276237"],"apc_list":null,"apc_paid":null,"fwci":5.5836,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.96554025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"70","issue":"4","first_page":"2289","last_page":"2304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.8087000250816345,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.8087000250816345,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.7235999703407288,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.6901000142097473,"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/covariance","display_name":"Covariance","score":0.6979791522026062},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5671871304512024},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5211860537528992},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4435879588127136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43839070200920105},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4161430597305298},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3637140095233917},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15758943557739258},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14677008986473083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08504262566566467},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08167409896850586}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6979791522026062},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5671871304512024},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5211860537528992},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4435879588127136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43839070200920105},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4161430597305298},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3637140095233917},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15758943557739258},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14677008986473083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08504262566566467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08167409896850586}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3472788","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3472788","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1542343170","https://openalex.org/W1542938076","https://openalex.org/W1858982327","https://openalex.org/W1964587448","https://openalex.org/W1978545662","https://openalex.org/W2015284402","https://openalex.org/W2104849640","https://openalex.org/W2143834015","https://openalex.org/W2171989347","https://openalex.org/W2176624840","https://openalex.org/W2401159360","https://openalex.org/W2513846512","https://openalex.org/W2536620281","https://openalex.org/W2782427500","https://openalex.org/W2791122645","https://openalex.org/W2951559786","https://openalex.org/W2963293783","https://openalex.org/W2964076623","https://openalex.org/W3012068377","https://openalex.org/W3120877630","https://openalex.org/W3165367994","https://openalex.org/W3169939870","https://openalex.org/W3207348352","https://openalex.org/W4245164763","https://openalex.org/W4250589301","https://openalex.org/W4285047692","https://openalex.org/W4382936351","https://openalex.org/W4385832219","https://openalex.org/W4388520148","https://openalex.org/W4396982441","https://openalex.org/W6762960172","https://openalex.org/W6838549709","https://openalex.org/W6869410762"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1514662352","https://openalex.org/W1566957016","https://openalex.org/W1596181035"],"abstract_inverted_index":{"In":[0,90],"this":[1],"article,":[2],"we":[3,26,43,93],"study":[4],"the":[5,11,28,33,45,48,52,65,73,82,91],"optimal":[6,34,49,66],"control":[7,35,67],"problem":[8],"for":[9,37,64,100],"steering":[10,54],"state":[12],"covariance":[13,53],"of":[14,32,47,81,109],"a":[15,21,38,76,101],"discrete-time":[16],"linear":[17],"stochastic":[18],"system":[19],"over":[20],"finite":[22],"time":[23],"horizon.":[24],"First,":[25],"establish":[27],"existence":[29],"and":[30,51],"uniqueness":[31],"law":[36],"quadratic":[39],"cost":[40],"function.":[41],"Then,":[42],"show":[44],"separation":[46],"mean":[50],"problems.":[55],"We":[56],"also":[57,94],"develop":[58],"efficient":[59],"computational":[60],"methods":[61],"to":[62,75],"solve":[63],"law,":[68],"which":[69,106],"is":[70,85],"identified":[71],"as":[72],"solution":[74],"semidefinite":[77],"program.":[78],"The":[79],"effectiveness":[80],"proposed":[83],"approach":[84],"demonstrated":[86],"through":[87],"numerical":[88],"examples.":[89],"process,":[92],"obtain":[95],"some":[96],"novel":[97],"theoretical":[98],"results":[99],"matrix":[102],"Riccati":[103],"difference":[104],"equation,":[105],"may":[107],"be":[108],"independent":[110],"interest.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}