{"id":"https://openalex.org/W2502449663","doi":"https://doi.org/10.1109/acc.2016.7526817","title":"Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost","display_name":"Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2502449663","doi":"https://doi.org/10.1109/acc.2016.7526817","mag":"2502449663"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7526817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-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/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abhishek Halder","raw_affiliation_strings":["Department of Electrical and Computer Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089141072","display_name":"Eric Wendel","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric D.B. Wendel","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0663,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.97009129,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"7249","last_page":"7254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9900000095367432,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9900000095367432,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9467999935150146,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.7475290298461914},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5648583173751831},{"id":"https://openalex.org/keywords/regulator","display_name":"Regulator","score":0.5582585334777832},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5498247146606445},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46661821007728577},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.45752203464508057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4346133768558502},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42775407433509827},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4097214341163635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40761062502861023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35374099016189575},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.2222273349761963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20948800444602966},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09871134161949158},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0887230932712555},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0693071186542511},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.060815125703811646}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.7475290298461914},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5648583173751831},{"id":"https://openalex.org/C6929976","wikidata":"https://www.wikidata.org/wiki/Q3771881","display_name":"Regulator","level":3,"score":0.5582585334777832},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5498247146606445},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46661821007728577},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.45752203464508057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4346133768558502},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42775407433509827},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4097214341163635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40761062502861023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35374099016189575},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2222273349761963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20948800444602966},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09871134161949158},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0887230932712555},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0693071186542511},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.060815125703811646},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2016.7526817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","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":31,"referenced_works":["https://openalex.org/W609616464","https://openalex.org/W1521448640","https://openalex.org/W1536997931","https://openalex.org/W1578936488","https://openalex.org/W1585160083","https://openalex.org/W1587799944","https://openalex.org/W1595765050","https://openalex.org/W1858982327","https://openalex.org/W1974202819","https://openalex.org/W1985506636","https://openalex.org/W1988083451","https://openalex.org/W2014834460","https://openalex.org/W2025368718","https://openalex.org/W2040104067","https://openalex.org/W2057807012","https://openalex.org/W2073748863","https://openalex.org/W2095590702","https://openalex.org/W2114265982","https://openalex.org/W2129691495","https://openalex.org/W2157007381","https://openalex.org/W2334591577","https://openalex.org/W2608227839","https://openalex.org/W2797638056","https://openalex.org/W3206777520","https://openalex.org/W4206551434","https://openalex.org/W4237940743","https://openalex.org/W4240790602","https://openalex.org/W4245164763","https://openalex.org/W4301747304","https://openalex.org/W6638893803","https://openalex.org/W6827084577"],"related_works":["https://openalex.org/W3777868","https://openalex.org/W2007152535","https://openalex.org/W2051766198","https://openalex.org/W1990910969","https://openalex.org/W2915806395","https://openalex.org/W234468389","https://openalex.org/W3041379944","https://openalex.org/W2067197839","https://openalex.org/W1982825464","https://openalex.org/W2364244763"],"abstract_inverted_index":{"We":[0,40,73,119],"formulate":[1],"and":[2,49,64,111,138],"solve":[3],"an":[4],"optimal":[5],"control":[6,17,83,124],"problem":[7,125],"in":[8,30],"which":[9],"a":[10,20,130,143],"finite":[11],"dimensional":[12],"linear":[13,79,91],"time":[14],"invariant":[15],"(LTI)":[16],"system":[18],"steers":[19],"given":[21],"Gaussian":[22,81,93],"probability":[23],"density":[24,62,94,135],"function":[25],"(PDF)":[26],"close":[27],"to":[28,97],"another":[29],"fixed":[31],"time,":[32],"while":[33],"minimizing":[34],"the":[35,42,45,50,55,60,66,77,85,89,101,105,112,122],"trajectory-wise":[36],"expected":[37],"quadratic":[38,80,92],"cost.":[39,72],"measure":[41],"\u201ccloseness\u201d":[43],"between":[44,59,100],"actual":[46],"terminal":[47,52,71],"PDF":[48,53],"desired":[51],"as":[54,70,129],"squared":[56],"Wasserstein":[57],"distance":[58],"two":[61],"functions,":[63],"penalize":[65],"lack":[67],"of":[68,104,133],"closeness":[69],"find":[74],"that":[75,121],"unlike":[76],"standard":[78],"(LQG)":[82],"problem,":[84,137],"necessary":[86],"conditions":[87,103],"for":[88],"resulting":[90],"regulator":[95,136],"lead":[96],"nonlinear":[98],"coupling":[99],"boundary":[102],"covariance":[106,113],"Lyapunov":[107],"matrix":[108,116],"differential":[109,117],"equation":[110],"costate":[114],"Riccati":[115],"equation.":[118],"show":[120],"LQG":[123],"can":[126],"be":[127],"recovered":[128],"special":[131],"case":[132],"our":[134,140],"illustrate":[139],"formulation":[141],"on":[142],"numerical":[144],"example.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
