{"id":"https://openalex.org/W3147942621","doi":"https://doi.org/10.1109/lcsys.2020.3047132","title":"Covariance Steering of Discrete-Time Stochastic Linear Systems Based on Wasserstein Distance Terminal Cost","display_name":"Covariance Steering of Discrete-Time Stochastic Linear Systems Based on Wasserstein Distance Terminal Cost","publication_year":2020,"publication_date":"2020-12-24","ids":{"openalex":"https://openalex.org/W3147942621","doi":"https://doi.org/10.1109/lcsys.2020.3047132","mag":"3147942621"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.3047132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3047132","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5048900045","display_name":"Isin M. Balci","orcid":"https://orcid.org/0000-0002-6559-4888"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Isin M. Balci","raw_affiliation_strings":["University of Texas at Austin, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090183475","display_name":"Efstathios Bakolas","orcid":"https://orcid.org/0000-0003-4104-0108"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Efstathios Bakolas","raw_affiliation_strings":["University of Texas at Austin, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048900045"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":2.8723,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.91422122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"5","issue":"6","first_page":"2000","last_page":"2005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12617","display_name":"Energy, Environment, and Transportation Policies","score":0.9430999755859375,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.6706154346466064},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6687641143798828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6083595752716064},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5341379046440125},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4900273084640503},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.478672593832016},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43395453691482544},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42203816771507263},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4141473174095154},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4121391475200653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38995665311813354},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.365831196308136},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.35986512899398804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2898435890674591},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15866932272911072}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.6706154346466064},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6687641143798828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6083595752716064},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5341379046440125},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4900273084640503},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.478672593832016},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43395453691482544},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42203816771507263},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4141473174095154},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4121391475200653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38995665311813354},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.365831196308136},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.35986512899398804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2898435890674591},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15866932272911072},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2020.3047132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3047132","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3944430118","display_name":null,"funder_award_id":"CMMI-1937957","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8340029021","display_name":null,"funder_award_id":"ECCS-1924790","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W81972919","https://openalex.org/W1498429448","https://openalex.org/W1858982327","https://openalex.org/W2040104067","https://openalex.org/W2068444197","https://openalex.org/W2123871098","https://openalex.org/W2129316296","https://openalex.org/W2166765763","https://openalex.org/W2171989347","https://openalex.org/W2482315946","https://openalex.org/W2502449663","https://openalex.org/W2513846512","https://openalex.org/W2791122645","https://openalex.org/W2949979136","https://openalex.org/W2951559786","https://openalex.org/W2963718773","https://openalex.org/W2964076623","https://openalex.org/W3003257820","https://openalex.org/W3103145119","https://openalex.org/W4229706427","https://openalex.org/W4233742192","https://openalex.org/W4245164763","https://openalex.org/W4297825594","https://openalex.org/W6696497002"],"related_works":["https://openalex.org/W2943897807","https://openalex.org/W4366198066","https://openalex.org/W3120484221","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W4386034604","https://openalex.org/W3099285423","https://openalex.org/W278441094","https://openalex.org/W4381248241","https://openalex.org/W2336173978"],"abstract_inverted_index":{"We":[0,74],"consider":[1],"a":[2,36,69,82],"class":[3],"of":[4,18,27,31,60,95,101,111,132,146],"stochastic":[5,77],"optimal":[6,78],"control":[7,19,79],"problems":[8],"for":[9],"discrete-time":[10],"linear":[11],"systems":[12],"whose":[13,86],"objective":[14],"is":[15,56,66],"the":[16,24,28,32,44,47,52,61,76,93,102,112,117,130,133],"characterization":[17],"policies":[20],"that":[21],"will":[22],"steer":[23],"probability":[25],"distribution":[26,50,55],"terminal":[29,48,71],"state":[30,49],"system":[33],"close":[34],"to":[35,107,128],"desired":[37,53],"Gaussian":[38],"distribution.":[39],"In":[40],"our":[41],"problem":[42,80],"formulation,":[43],"closeness":[45],"between":[46],"and":[51],"(goal)":[54],"measured":[57],"in":[58,144],"terms":[59,145],"squared":[62],"Wasserstein":[63],"distance":[64],"which":[65],"associated":[67],"with":[68,139],"corresponding":[70],"cost":[72],"term.":[73],"recast":[75],"as":[81,92],"finite-dimensional":[83],"nonlinear":[84,114],"program":[85,115],"performance":[87,103],"index":[88,104],"can":[89],"be":[90],"expressed":[91],"difference":[94],"two":[96],"convex":[97],"functions.":[98],"This":[99],"representation":[100],"allows":[105],"us":[106],"find":[108],"local":[109],"minimizers":[110],"original":[113],"via":[116],"so-called":[118],"convex-concave":[119],"procedure":[120],"[1].":[121],"Finally,":[122],"we":[123],"present":[124],"non-trivial":[125],"numerical":[126],"simulations":[127],"demonstrate":[129],"efficacy":[131],"proposed":[134],"technique":[135],"by":[136],"comparing":[137],"it":[138],"sequential":[140],"quadratic":[141],"programming":[142],"methods":[143],"computation":[147],"time.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}