{"id":"https://openalex.org/W4402118466","doi":"https://doi.org/10.48550/arxiv.2407.18774","title":"Optimal Control on Positive Cones","display_name":"Optimal Control on Positive Cones","publication_year":2024,"publication_date":"2024-07-26","ids":{"openalex":"https://openalex.org/W4402118466","doi":"https://doi.org/10.48550/arxiv.2407.18774"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2407.18774","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.18774","pdf_url":"https://arxiv.org/pdf/2407.18774","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2407.18774","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031245308","display_name":"Richard Pates","orcid":"https://orcid.org/0000-0001-6046-1878"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pates, Richard","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091667471","display_name":"Anders Rantzer","orcid":"https://orcid.org/0000-0001-7118-2786"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rantzer, Anders","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031245308"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.4699999988079071,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.4699999988079071,"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/control","display_name":"Control (management)","score":0.5216653347015381},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4505296051502228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3592686653137207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30423468351364136},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23337790369987488},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17985868453979492}],"concepts":[{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5216653347015381},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4505296051502228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3592686653137207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30423468351364136},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23337790369987488},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17985868453979492}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2407.18774","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.18774","pdf_url":"https://arxiv.org/pdf/2407.18774","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.2407.18774","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.18774","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2407.18774","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.18774","pdf_url":"https://arxiv.org/pdf/2407.18774","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402118466.pdf","grobid_xml":"https://content.openalex.org/works/W4402118466.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","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/W2086351220"],"abstract_inverted_index":{"An":[0],"optimal":[1,99],"control":[2,100,112],"problem":[3],"on":[4,14,40,98],"finite-dimensional":[5],"positive":[6,68,74,88,102],"cones":[7],"is":[8,21,70,90],"stated.":[9],"Under":[10],"a":[11,24,91,95],"critical":[12],"assumption":[13,39],"the":[15,17,38,41,44,53,67,71,87],"cone,":[16],"corresponding":[18],"Bellman":[19],"equation":[20],"satisfied":[22],"by":[23,31],"linear":[25,80,110],"function,":[26],"which":[27],"can":[28],"be":[29],"computed":[30],"convex":[32],"optimization.":[33],"A":[34],"separate":[35],"theorem":[36],"relates":[37],"cone":[42,69,89],"to":[43,78,94,109],"existence":[45],"of":[46,52,73,101],"minimal":[47],"elements":[48],"in":[49],"certain":[50],"subsets":[51],"dual":[54],"cone.":[55],"Three":[56],"special":[57,106],"cases":[58],"are":[59],"derived":[60],"as":[61,117],"examples.":[62],"The":[63,83,104],"first":[64],"one,":[65,85],"where":[66,86],"set":[72],"semi-definite":[75],"matrices,":[76],"reduces":[77,93],"standard":[79],"quadratic":[81,111],"control.":[82],"second":[84],"polyhedron,":[92],"recent":[96],"result":[97],"systems.":[103],"third":[105],"case":[107],"corresponds":[108],"with":[113],"additional":[114],"structure,":[115],"such":[116],"spatial":[118],"invariance.":[119]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}