{"id":"https://openalex.org/W4411640016","doi":"https://doi.org/10.1109/lcsys.2025.3582908","title":"On Exact Solutions to the Linear Bellman Equation","display_name":"On Exact Solutions to the Linear Bellman Equation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4411640016","doi":"https://doi.org/10.1109/lcsys.2025.3582908"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2025.3582908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3582908","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/A5043590697","display_name":"David Ohlin","orcid":"https://orcid.org/0000-0003-2838-6753"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"David Ohlin","raw_affiliation_strings":["Department of Automatic Control and the ELLIIT Strategic Research Area, Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and the ELLIIT Strategic Research Area, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031245308","display_name":"Richard Pates","orcid":"https://orcid.org/0000-0001-6046-1878"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Richard Pates","raw_affiliation_strings":["Department of Automatic Control and the ELLIIT Strategic Research Area, Lund University, Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and the ELLIIT Strategic Research Area, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025743742","display_name":"Murat Arcak","orcid":"https://orcid.org/0000-0001-9060-4032"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murat Arcak","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043590697"],"corresponding_institution_ids":["https://openalex.org/I187531555"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14012644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"1568","last_page":"1573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9277999997138977,"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"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9277999997138977,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.907800018787384,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.5868993401527405},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5072442889213562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3799239695072174}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5868993401527405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5072442889213562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3799239695072174}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2025.3582908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3582908","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"},{"id":"pmh:oai:lup.lub.lu.se:0999b2af-f8db-479c-921f-dc8e64931300","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/0999b2af-f8db-479c-921f-dc8e64931300","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2475-1456","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1969483458","https://openalex.org/W2009533501","https://openalex.org/W2081287319","https://openalex.org/W2100757665","https://openalex.org/W2107662876","https://openalex.org/W2145060720","https://openalex.org/W2147741970","https://openalex.org/W2270500925","https://openalex.org/W2576152412","https://openalex.org/W3035578948","https://openalex.org/W4250589301","https://openalex.org/W4308311276","https://openalex.org/W4315472396","https://openalex.org/W4404304545","https://openalex.org/W4406231657","https://openalex.org/W4407949386","https://openalex.org/W6873741284","https://openalex.org/W6875910721"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"sufficient":[3],"conditions":[4,60,87],"for":[5,61,79],"optimal":[6,48],"control":[7,49],"of":[8,39,64,71,84],"systems":[9],"with":[10,92],"dynamics":[11,76],"given":[12,86],"by":[13],"a":[14,33,46],"linear":[15,93],"operator,":[16],"in":[17,32,90],"order":[18],"to":[19,24,74,77,98],"obtain":[20],"an":[21],"explicit":[22,62],"solution":[23,63],"the":[25,37,59,65,69,85,99],"Bellman":[26,66],"equation":[27],"that":[28,54],"can":[29],"be":[30],"calculated":[31],"distributed":[34],"fashion.":[35],"Further,":[36],"class":[38,56],"Linearly":[40],"Solvable":[41],"MDP":[42],"is":[43,52,88],"reformulated":[44],"as":[45],"continuous-state":[47],"problem.":[50],"It":[51],"shown":[53],"this":[55],"naturally":[57],"satisfies":[58],"equation,":[67],"motivating":[68],"extension":[70],"previous":[72],"results":[73],"semilinear":[75],"account":[78],"input":[80],"nonlinearities.":[81],"The":[82],"applicability":[83],"illustrated":[89],"scenarios":[91],"and":[94,103],"quadratic":[95],"cost,":[96],"corresponding":[97],"Stochastic":[100],"Shortest":[101],"Path":[102],"Linear-Quadratic":[104],"Regulator":[105],"problems.":[106]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}