{"id":"https://openalex.org/W7159668905","doi":"https://doi.org/10.48550/arxiv.2604.27770","title":"Optimal Functional Incentives for Control: The Linear-Quadratic Case with Bilinear Incentives","display_name":"Optimal Functional Incentives for Control: The Linear-Quadratic Case with Bilinear Incentives","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W7159668905","doi":"https://doi.org/10.48550/arxiv.2604.27770"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.27770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27770","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.27770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134939442","display_name":"Jonas G. Matt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matt, Jonas G.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134958090","display_name":"Saverio Bolognani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bolognani, Saverio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134983558","display_name":"Florian D\u00f6rfler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D\u00f6rfler, Florian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.4032000005245209,"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":0.4032000005245209,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.18950000405311584,"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"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.1005999967455864,"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/incentive","display_name":"Incentive","score":0.7972999811172485},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5371999740600586},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4823000133037567},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4771000146865845},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47360000014305115},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.43160000443458557},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.7972999811172485},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5371999740600586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5023000240325928},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4823000133037567},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4771000146865845},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47360000014305115},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4269999861717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41920000314712524},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4034000039100647},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.387800008058548},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.36640000343322754},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3635999858379364},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.35530000925064087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33799999952316284},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3278000056743622},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.25529998540878296}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.27770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27770","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.27770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27770","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.41866788268089294,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,59],"study":[1],"the":[2,27,38,45,50,61,75,95,104,107,114,126,131,136,146,150,159,168],"design":[3,179],"of":[4,37,106,135,152,167],"functional":[5],"incentive":[6,18,51,115,138,161],"mechanisms":[7],"for":[8,74,94,103,176],"dynamical":[9],"systems,":[10],"in":[11,42,48,125,142],"which":[12,49],"a":[13,16,22,54,64,82,88,100,120],"leader":[14,109],"designs":[15],"fixed":[17],"function":[19],"to":[20,25,44,113,164],"motivate":[21],"self-interested":[23],"follower":[24,154],"actuate":[26],"system":[28],"beneficially":[29],"over":[30],"an":[31],"extended":[32],"horizon,":[33],"without":[34],"real-time":[35],"revision":[36],"incentive.":[39],"This":[40],"stands":[41],"contrast":[43],"adaptive":[46],"paradigm,":[47],"is":[52,162],"itself":[53],"continuously":[55],"updated":[56],"control":[57,68],"variable.":[58],"formalize":[60],"problem":[62,69],"as":[63],"discrete-time":[65],"bi-level":[66],"optimal":[67,137,160],"and":[70,81,90,118,149],"derive":[71,99],"analytical":[72],"results":[73],"linear-quadratic":[76],"case":[77],"with":[78,111,173],"bilinear":[79],"incentives":[80],"myopic":[83],"follower.":[84],"Specifically,":[85],"we":[86],"establish":[87],"necessary":[89],"sufficient":[91],"stability":[92],"condition":[93],"induced":[96],"closed-loop":[97],"system,":[98],"closed-form":[101,122],"expression":[102,124],"gradient":[105],"expected":[108],"cost":[110,123,171],"respect":[112],"parameter":[116,139],"matrix,":[117],"obtain":[119],"fully":[121],"scalar":[127],"setting.":[128],"Based":[129],"on":[130],"latter,":[132],"explicit":[133],"characterizations":[134],"are":[140],"provided":[141],"two":[143],"asymptotic":[144],"regimes:":[145],"infinite-horizon":[147],"limit":[148,151],"high":[153],"cost.":[155],"For":[156],"long":[157],"horizons,":[158],"shown":[163],"become":[165],"independent":[166],"follower's":[169],"private":[170,181],"parameter,":[172],"direct":[174],"implications":[175],"robust":[177],"mechanism":[178],"under":[180],"information.":[182]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-02T00:00:00"}