{"id":"https://openalex.org/W4411867019","doi":"https://doi.org/10.1109/lcsys.2025.3584792","title":"The Ces\u00e0ro Value Iteration","display_name":"The Ces\u00e0ro Value Iteration","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4411867019","doi":"https://doi.org/10.1109/lcsys.2025.3584792"},"language":"ca","primary_location":{"id":"doi:10.1109/lcsys.2025.3584792","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3584792","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013121926","display_name":"Jason Mair","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonas Mair","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0009-0009-4953-7750","affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029868844","display_name":"Lukas Schwenkel","orcid":"https://orcid.org/0000-0003-0374-5115"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lukas Schwenkel","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0374-5115","affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057092836","display_name":"Matthias A. M\u00fcller","orcid":"https://orcid.org/0000-0002-4911-9526"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias A. M\u00fcller","raw_affiliation_strings":["Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4911-9526","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]},{"raw_affiliation_string":"University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allg\u00f6wer","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3702-3658","affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"University of Stuttgart, Institute for Systems Theory and Automatic Control, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7779,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.72086304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"1934","last_page":"1939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"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":0.9976999759674072,"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/T11236","display_name":"Control Systems and Identification","score":0.9954000115394592,"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":0.9925000071525574,"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/value","display_name":"Value (mathematics)","score":0.6177184581756592},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4355718493461609},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35490477085113525},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2849571108818054}],"concepts":[{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.6177184581756592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4355718493461609},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35490477085113525},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2849571108818054}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2025.3584792","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3584792","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1849678239","https://openalex.org/W1994103282","https://openalex.org/W2066579401","https://openalex.org/W2094492145","https://openalex.org/W2098432798","https://openalex.org/W2128102968","https://openalex.org/W2178380636","https://openalex.org/W2313728779","https://openalex.org/W2586500516","https://openalex.org/W3182258553","https://openalex.org/W4206105733","https://openalex.org/W4214717370","https://openalex.org/W4388550199","https://openalex.org/W4398796993","https://openalex.org/W4411867019","https://openalex.org/W6869460652"],"related_works":["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/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,55,80],"paper,":[2],"we":[3,35,58,82],"consider":[4],"undiscouted":[5],"infinite-horizon":[6,43,50,93],"optimal":[7,44,76,94],"control":[8,45],"for":[9,54,68],"deterministic":[10],"systems":[11,73],"with":[12,74],"an":[13],"uncountable":[14],"state":[15],"and":[16,47,64],"input":[17],"space.":[18],"We":[19],"specifically":[20],"address":[21],"the":[22,25,37,42,48,60,69,86,91,97],"case":[23,71],"when":[24],"classic":[26],"value":[27,51,56,62,88],"iteration":[28,63],"does":[29],"not":[30],"converge.":[31],"For":[32,79],"such":[33],"systems,":[34],"use":[36],"Ces\u00e0ro":[38,61,87],"mean":[39],"to":[40],"define":[41],"problem":[46],"corresponding":[49],"function.":[52],"Moreover,":[53],"function,":[57],"introduce":[59],"prove":[65],"its":[66],"convergence":[67],"special":[70],"of":[72],"periodic":[75],"operating":[77],"behavior.":[78],"instance,":[81],"also":[83],"show":[84],"that":[85],"function":[89],"recovers":[90],"undiscounted":[92],"cost,":[95],"if":[96],"latter":[98],"is":[99],"well-defined.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}