{"id":"https://openalex.org/W2577865181","doi":"https://doi.org/10.1109/tac.2018.2867536","title":"A Convex Optimization Approach to Discrete Optimal Control","display_name":"A Convex Optimization Approach to Discrete Optimal Control","publication_year":2018,"publication_date":"2018-08-29","ids":{"openalex":"https://openalex.org/W2577865181","doi":"https://doi.org/10.1109/tac.2018.2867536","mag":"2577865181"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2867536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2867536","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.02414","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014551115","display_name":"V\u00edctor Valls","orcid":"https://orcid.org/0000-0003-4784-3219"},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Victor Valls","raw_affiliation_strings":["School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland","School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland;"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I205274468"]},{"raw_affiliation_string":"School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland;","institution_ids":["https://openalex.org/I205274468"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086446911","display_name":"Douglas J. Leith","orcid":"https://orcid.org/0000-0003-4056-4014"},"institutions":[{"id":"https://openalex.org/I205274468","display_name":"Trinity College Dublin","ror":"https://ror.org/02tyrky19","country_code":"IE","type":"education","lineage":["https://openalex.org/I205274468"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Douglas J. Leith","raw_affiliation_strings":["School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland","School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland;"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I205274468"]},{"raw_affiliation_string":"School of Computer Science and Statistics, Trinity College Dublin, Dublin, Ireland;","institution_ids":["https://openalex.org/I205274468"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014551115"],"corresponding_institution_ids":["https://openalex.org/I205274468"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00119266,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"1","first_page":"35","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9958000183105469,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7674241065979004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.645304799079895},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.611920177936554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5606802105903625},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5324930548667908},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5286334753036499},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5053597092628479},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4873984456062317},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4811445474624634},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.42693841457366943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30840522050857544},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1062757670879364}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7674241065979004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.645304799079895},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.611920177936554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5606802105903625},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5324930548667908},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5286334753036499},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5053597092628479},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4873984456062317},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4811445474624634},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.42693841457366943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30840522050857544},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1062757670879364},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2018.2867536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2867536","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1701.02414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.02414","pdf_url":"https://arxiv.org/pdf/1701.02414","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":"mag:2577865181","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1701.02414.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1701.02414","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.02414","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:1701.02414","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.02414","pdf_url":"https://arxiv.org/pdf/1701.02414","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5}],"awards":[{"id":"https://openalex.org/G7504877568","display_name":null,"funder_award_id":"11/PI/1177","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2577865181.pdf","grobid_xml":"https://content.openalex.org/works/W2577865181.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W565357261","https://openalex.org/W1606302559","https://openalex.org/W1963529497","https://openalex.org/W2005947016","https://openalex.org/W2022575296","https://openalex.org/W2027309808","https://openalex.org/W2057831030","https://openalex.org/W2076428552","https://openalex.org/W2080230629","https://openalex.org/W2095850597","https://openalex.org/W2098254860","https://openalex.org/W2103012681","https://openalex.org/W2104259309","https://openalex.org/W2105177639","https://openalex.org/W2129513539","https://openalex.org/W2154968665","https://openalex.org/W2156214642","https://openalex.org/W2163634514","https://openalex.org/W2170178059","https://openalex.org/W2173655337","https://openalex.org/W2296319761","https://openalex.org/W2338341705","https://openalex.org/W4233413206","https://openalex.org/W4250589301","https://openalex.org/W4251767568","https://openalex.org/W6632150416","https://openalex.org/W6679464246","https://openalex.org/W6683112175"],"related_works":["https://openalex.org/W2921611804","https://openalex.org/W2549367060","https://openalex.org/W2289655975","https://openalex.org/W2262582047","https://openalex.org/W2174036086","https://openalex.org/W8662893","https://openalex.org/W2788943438","https://openalex.org/W2889634868","https://openalex.org/W2921639061","https://openalex.org/W3003016960","https://openalex.org/W1611140369","https://openalex.org/W2742244573","https://openalex.org/W2912682655","https://openalex.org/W3085121432","https://openalex.org/W2481147314","https://openalex.org/W2991391803","https://openalex.org/W2103541323","https://openalex.org/W2890437101","https://openalex.org/W2798697512","https://openalex.org/W2995193101"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"bring":[4],"the":[5,77,81,86,94,104,125,147,170],"celebrated":[6],"max-weight":[7],"features":[8,72,96],"(myopic":[9],"and":[10,33,39,90,151],"discrete":[11,40,132,141],"actions)":[12],"to":[13,26,57,119],"mainstream":[14],"convex":[15,127],"optimization.":[16],"Myopic":[17],"actions":[18,142,155,174],"are":[19,135,175],"important":[20],"in":[21,29,63,76,172],"control":[22,52,108,121,133],"because":[23,42],"decisions":[24],"need":[25],"be":[27,74],"made":[28],"an":[30],"online":[31],"manner":[32],"without":[34,123],"knowledge":[35],"of":[36,51,88,93,97,106,114,131],"future":[37],"events":[38],"actions,":[41],"many":[43],"systems":[44,165],"have":[45,167],"a":[46,59,107,111],"finite":[47],"(so":[48],"nonconvex)":[49],"number":[50],"decisions.":[53],"For":[54],"example,":[55],"whether":[56],"transmit":[58],"packet":[60],"or":[61],"not":[62],"communication":[64],"networks.":[65],"Our":[66],"results":[67],"show":[68],"that":[69,101,138,153,166],"these":[70],"two":[71],"can":[73,139],"encompassed":[75],"subgradient":[78],"method":[79],"for":[80,163],"Lagrange":[82],"dual":[83],"problem":[84],"by":[85,143],"use":[87],"stochastic":[89],"\u03b5-subgradients.":[91],"One":[92],"appealing":[95],"our":[98],"approach":[99],"is":[100,161],"it":[102],"decouples":[103],"choice":[105,113],"action":[109],"from":[110],"specific":[112],"subgradient,":[115],"which":[116,173],"allows":[117],"us":[118],"design":[120],"policies":[122,134],"changing":[124],"underlying":[126],"updates.":[128],"Two":[129],"classes":[130],"presented:":[136],"one":[137],"make":[140],"looking":[144],"only":[145],"at":[146],"system's":[148],"current":[149],"state,":[150],"another":[152],"selects":[154],"using":[156],"blocks.":[157],"The":[158],"latter":[159],"class":[160],"useful":[162],"handling":[164],"constraints":[168],"on":[169],"order":[171],"selected.":[176]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}