{"id":"https://openalex.org/W3198055435","doi":"https://doi.org/10.1109/cdc45484.2021.9682825","title":"Discrete-Time Linear-Quadratic Regulation via Optimal Transport","display_name":"Discrete-Time Linear-Quadratic Regulation via Optimal Transport","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3198055435","doi":"https://doi.org/10.1109/cdc45484.2021.9682825","mag":"3198055435"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682825","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11850/524037","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074036292","display_name":"Mathias Hudoba de Badyn","orcid":"https://orcid.org/0000-0003-0955-2381"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mathias Hudoba de Badyn","raw_affiliation_strings":["ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","institution_ids":[]},{"raw_affiliation_string":"Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070206390","display_name":"Erik Miehling","orcid":"https://orcid.org/0000-0003-0533-8329"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erik Miehling","raw_affiliation_strings":["University of Illinois,Coordinated Science Laboratory,Urbana-Champaign,Urbana,USA","Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois,Coordinated Science Laboratory,Urbana-Champaign,Urbana,USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067147817","display_name":"Dylan Janak","orcid":"https://orcid.org/0000-0002-4047-365X"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dylan Janak","raw_affiliation_strings":["University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","University of Washington, Seattle, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","institution_ids":["https://openalex.org/I46020346"]},{"raw_affiliation_string":"University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044772884","display_name":"Beh\u00e7et A\u00e7\u0131kme\u015fe","orcid":"https://orcid.org/0000-0002-8693-8109"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Beh\u00e7et A\u00e7\u0131kme\u015fe","raw_affiliation_strings":["University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","University of Washington, Seattle, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","institution_ids":["https://openalex.org/I46020346"]},{"raw_affiliation_string":"University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040511603","display_name":"Mehran Mesbahi","orcid":"https://orcid.org/0000-0001-6972-6588"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehran Mesbahi","raw_affiliation_strings":["University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","University of Washington, Seattle, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Aeronautics and Astronautics,Seattle,USA","institution_ids":["https://openalex.org/I46020346"]},{"raw_affiliation_string":"University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019604570","display_name":"Tamer Ba\u015far","orcid":"https://orcid.org/0000-0003-4406-7875"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamer Ba\u015far","raw_affiliation_strings":["University of Illinois,Coordinated Science Laboratory,Urbana-Champaign,Urbana,USA","Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois,Coordinated Science Laboratory,Urbana-Champaign,Urbana,USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007359599","display_name":"John Lygeros","orcid":"https://orcid.org/0000-0002-6159-1962"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"John Lygeros","raw_affiliation_strings":["ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","institution_ids":[]},{"raw_affiliation_string":"Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017078571","display_name":"Roy S. Smith","orcid":"https://orcid.org/0000-0002-8139-4683"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Roy S. Smith","raw_affiliation_strings":["ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z&#x00FC;rich,Automatic Control Laboratory,Switzerland","institution_ids":[]},{"raw_affiliation_string":"Automatic Control Laboratory, ETH Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3060","last_page":"3065"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9912999868392944,"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":0.9912999868392944,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9887999892234802,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9682000279426575,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6143906116485596},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5904250144958496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.546144425868988},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5438507199287415},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49073660373687744},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.47489133477211},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4613094627857208},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.4516073167324066},{"id":"https://openalex.org/keywords/software-deployment","display_name":"Software deployment","score":0.43823081254959106},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4144755005836487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3354681730270386},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32075417041778564},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2911178469657898}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6143906116485596},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5904250144958496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.546144425868988},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5438507199287415},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49073660373687744},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.47489133477211},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4613094627857208},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.4516073167324066},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.43823081254959106},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4144755005836487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3354681730270386},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32075417041778564},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2911178469657898},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682825","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/524037","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/524037","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.3929/ethz-b-000524037","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000524037","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/524037","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/524037","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G230078430","display_name":null,"funder_award_id":"FA9550-16","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3392305090","display_name":null,"funder_award_id":"-16-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3616359867","display_name":null,"funder_award_id":"FA9550-16-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5364588660","display_name":null,"funder_award_id":"FA9550-19-1-0353","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G768934453","display_name":null,"funder_award_id":"FA9550-16-1-0022","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W562660536","https://openalex.org/W1414522187","https://openalex.org/W1585160083","https://openalex.org/W1639961155","https://openalex.org/W1679234839","https://openalex.org/W1858982327","https://openalex.org/W1985506636","https://openalex.org/W1988538197","https://openalex.org/W2001050163","https://openalex.org/W2011818696","https://openalex.org/W2028852533","https://openalex.org/W2040537768","https://openalex.org/W2076067997","https://openalex.org/W2089356041","https://openalex.org/W2132883347","https://openalex.org/W2158131535","https://openalex.org/W2337227421","https://openalex.org/W2417426974","https://openalex.org/W2588273742","https://openalex.org/W2620318602","https://openalex.org/W2762904823","https://openalex.org/W2791122645","https://openalex.org/W2793477525","https://openalex.org/W2890011561","https://openalex.org/W2891491601","https://openalex.org/W2897238925","https://openalex.org/W2948477430","https://openalex.org/W2950487591","https://openalex.org/W2951559786","https://openalex.org/W2963198158","https://openalex.org/W2963450292","https://openalex.org/W2963693734","https://openalex.org/W2963859747","https://openalex.org/W2964011539","https://openalex.org/W2964229334","https://openalex.org/W2964308809","https://openalex.org/W2964330743","https://openalex.org/W2969738732","https://openalex.org/W3141207716","https://openalex.org/W3198055435","https://openalex.org/W4233762729","https://openalex.org/W4245164763","https://openalex.org/W4297779348","https://openalex.org/W6615672858","https://openalex.org/W6682962330","https://openalex.org/W6733167169","https://openalex.org/W6738958611","https://openalex.org/W6745524374","https://openalex.org/W6755778899","https://openalex.org/W6763022411"],"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":{"In":[0],"this":[1,29],"paper,":[2],"we":[3,32],"consider":[4],"a":[5,34],"discrete-time":[6],"stochastic":[7,25],"control":[8,26],"problem":[9,37],"with":[10,69],"uncertain":[11],"initial":[12,40],"and":[13,24,41,91],"target":[14],"states.":[15],"We":[16],"first":[17],"discuss":[18],"the":[19,39,55,60,74,85,89,94],"connection":[20],"between":[21],"optimal":[22,56,75],"transport":[23,57],"problems":[27],"of":[28,62,88,93],"form.":[30],"Next,":[31],"formulate":[33],"linear-quadratic":[35],"regulator":[36],"where":[38],"terminal":[42],"states":[43],"are":[44],"distributed":[45],"according":[46],"to":[47,81],"specified":[48],"probability":[49],"densities.":[50],"A":[51],"closed-form":[52],"solution":[53],"for":[54,72],"map":[58],"in":[59],"case":[61],"linear-time":[63],"varying":[64],"systems":[65],"is":[66],"derived,":[67],"along":[68],"an":[70],"algorithm":[71],"computing":[73],"map.":[76],"Two":[77],"numerical":[78,95],"examples":[79],"pertaining":[80],"swarm":[82],"deployment":[83],"demonstrate":[84],"practical":[86],"applicability":[87],"model,":[90],"performance":[92],"method.":[96]},"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":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
