{"id":"https://openalex.org/W7152959608","doi":"https://doi.org/10.48550/arxiv.2604.08521","title":"Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality","display_name":"Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality","publication_year":2026,"publication_date":"2026-04-09","ids":{"openalex":"https://openalex.org/W7152959608","doi":"https://doi.org/10.48550/arxiv.2604.08521"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.08521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.08521","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":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.2604.08521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120460362","display_name":"Robert H. Moldenhauer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moldenhauer, Robert H.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133349955","display_name":"Karl Worthmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Worthmann, Karl","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003519273","display_name":"Romain Postoyan","orcid":"https://orcid.org/0000-0002-2454-602X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Postoyan, Romain","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133360056","display_name":"Dragan Ne\u0161i\u0107","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ne\u0161i\u0107, Dragan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5060471832","display_name":"Mathieu Granzotto","orcid":"https://orcid.org/0000-0003-3830-8820"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Granzotto, Mathieu","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9513999819755554,"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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9513999819755554,"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/T10471","display_name":"Climate Change Policy and Economics","score":0.01269999984651804,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.002899999963119626,"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/robustness","display_name":"Robustness (evolution)","score":0.694100022315979},{"id":"https://openalex.org/keywords/discounting","display_name":"Discounting","score":0.6798999905586243},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6370999813079834},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5713000297546387},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5546000003814697},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5271999835968018},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.5184000134468079},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4934999942779541}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.694100022315979},{"id":"https://openalex.org/C6177178","wikidata":"https://www.wikidata.org/wiki/Q10998070","display_name":"Discounting","level":2,"score":0.6798999905586243},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6370999813079834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6227999925613403},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5713000297546387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5598000288009644},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5546000003814697},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.5184000134468079},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4934999942779541},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.43720000982284546},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.39750000834465027},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.37209999561309814},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3718999922275543},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.34200000762939453},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.3246000111103058},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3068999946117401},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C3017581826","wikidata":"https://www.wikidata.org/wiki/Q1077518","display_name":"Cost control","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2542000114917755}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.08521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.08521","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.08521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.08521","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":false,"raw_source_name":null,"raw_type":"Preprint"},"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":{"We":[0,23],"study":[1],"closed-loop":[2,86],"stability":[3,70],"and":[4,8,36,41,51,67,104],"suboptimality":[5,82],"for":[6,84],"MPC":[7],"infinite-horizon":[9,37],"optimal":[10,90],"control":[11],"solved":[12],"using":[13],"a":[14,25,81,98],"surrogate":[15],"model":[16,66],"that":[17,117],"differs":[18],"from":[19],"the":[20,57,65,72,85,89,93,113],"real":[21],"plant.":[22],"employ":[24],"unified":[26],"framework":[27],"based":[28],"on":[29],"quadratic":[30],"costs":[31],"to":[32,49],"analyze":[33],"both":[34],"finite-":[35],"problems,":[38],"encompassing":[39],"discounted":[40],"undiscounted":[42],"scenarios":[43],"alike.":[44],"Plant-model":[45],"mismatch":[46],"bounds":[47],"proportional":[48],"states":[50],"controls":[52],"are":[53,110],"assumed,":[54],"under":[55],"which":[56],"origin":[58],"remains":[59],"an":[60],"equilibrium.":[61],"Under":[62],"continuity":[63],"of":[64,71,92],"cost-controllability,":[68],"exponential":[69],"closed":[73],"loop":[74],"can":[75],"be":[76],"guaranteed.":[77],"Furthermore,":[78],"we":[79],"give":[80],"bound":[83],"cost":[87,91],"recovering":[88],"surrogate.":[94],"The":[95,107],"results":[96],"reveal":[97],"tradeoff":[99],"between":[100],"horizon":[101,114],"length,":[102,115],"discounting":[103],"plant-model":[105,125],"mismatch.":[106,126],"robustness":[108],"guarantees":[109],"uniform":[111],"over":[112],"meaning":[116],"larger":[118],"horizons":[119],"do":[120],"not":[121],"require":[122],"successively":[123],"smaller":[124]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-11T00:00:00"}