{"id":"https://openalex.org/W7151560516","doi":"https://doi.org/10.48550/arxiv.2604.03490","title":"Conditions for Complete Decentralization of the Linear Quadratic Regulator","display_name":"Conditions for Complete Decentralization of the Linear Quadratic Regulator","publication_year":2026,"publication_date":"2026-04-03","ids":{"openalex":"https://openalex.org/W7151560516","doi":"https://doi.org/10.48550/arxiv.2604.03490"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.03490","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03490","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.03490","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010634887","display_name":"Addie McCurdy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"McCurdy, Addie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133089170","display_name":"Isabel Collins","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Collins, Isabel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5133065105","display_name":"Emily Jensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jensen, Emily","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.45660001039505005,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.45660001039505005,"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"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.12439999729394913,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.12189999967813492,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/decentralization","display_name":"Decentralization","score":0.7526000142097473},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6485999822616577},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6399000287055969},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6035000085830688},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5586000084877014},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.534600019454956},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.531499981880188},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5195000171661377}],"concepts":[{"id":"https://openalex.org/C136810230","wikidata":"https://www.wikidata.org/wiki/Q188961","display_name":"Decentralization","level":2,"score":0.7526000142097473},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6485999822616577},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6399000287055969},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6035000085830688},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5586000084877014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5472000241279602},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.534600019454956},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.531499981880188},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5195000171661377},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.47099998593330383},{"id":"https://openalex.org/C6929976","wikidata":"https://www.wikidata.org/wiki/Q3771881","display_name":"Regulator","level":3,"score":0.45249998569488525},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.37610000371932983},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33730000257492065},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29269999265670776},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2651999890804291}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.03490","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03490","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.03490","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.03490","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"An":[0],"unconstrained":[1],"optimal":[2,29],"control":[3],"policy":[4],"is":[5],"completely":[6,27],"decentralized":[7,28],"if":[8],"computing":[9],"actuation":[10],"for":[11,63,70],"each":[12],"subsystem":[13],"only":[14],"requires":[15],"information":[16],"directly":[17],"available":[18],"to":[19,41,88],"its":[20],"own":[21],"subcontroller.":[22],"Parameters":[23],"that":[24],"admit":[25],"a":[26,35,50,53],"controller":[30],"have":[31,46],"been":[32,47],"characterized":[33],"in":[34],"variety":[36],"of":[37,56,66,92],"systems,":[38],"but":[39],"attempts":[40],"physically":[42,75],"explain":[43],"the":[44],"phenomenon":[45],"limited.":[48],"As":[49],"step":[51],"toward":[52],"general":[54],"characterization":[55],"complete":[57,64,90],"decentralization,":[58],"this":[59],"paper":[60],"presents":[61],"conditions":[62,78],"decentralization":[65,91],"Linear":[67],"Quadratic":[68],"Regulators":[69],"several":[71],"simple":[72,83],"cases":[73,84],"and":[74],"interprets":[76],"these":[77],"with":[79],"illustrative":[80],"examples.":[81],"These":[82],"are":[85],"then":[86],"leveraged":[87],"characterize":[89],"more":[93],"complex":[94],"systems.":[95]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-08T00:00:00"}