{"id":"https://openalex.org/W2912456260","doi":"https://doi.org/10.1109/cdc.2018.8619557","title":"Stability analysis of discrete-time finite-horizon discounted optimal control","display_name":"Stability analysis of discrete-time finite-horizon discounted optimal control","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912456260","doi":"https://doi.org/10.1109/cdc.2018.8619557","mag":"2912456260"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619557","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619557","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5060471832","display_name":"Mathieu Granzotto","orcid":"https://orcid.org/0000-0003-3830-8820"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Granzotto","raw_affiliation_strings":["CNRS, Universite de Lorraine, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Universite de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003519273","display_name":"Romain Postoyan","orcid":"https://orcid.org/0000-0002-2454-602X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Romain Postoyan","raw_affiliation_strings":["CNRS, Universite de Lorraine, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Universite de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058935509","display_name":"Lucian Bu\u015foniu","orcid":"https://orcid.org/0000-0001-8017-1296"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Lucian Busoniu","raw_affiliation_strings":["Department of Automation, Technical University of Cluj-Napoca, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Technical University of Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035230630","display_name":"Dragan Ne\u0161i\u0107","orcid":"https://orcid.org/0000-0001-7944-0241"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dragan Nesic","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015675169","display_name":"Jamal Daafouz","orcid":"https://orcid.org/0000-0001-8313-8790"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Daafouz","raw_affiliation_strings":["CNRS, Universite de Lorraine, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Universite de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"2322","last_page":"2327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9965000152587891,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9829999804496765,"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/horizon","display_name":"Horizon","score":0.7015842795372009},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6349729299545288},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6005547046661377},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5982592105865479},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5931023359298706},{"id":"https://openalex.org/keywords/discounting","display_name":"Discounting","score":0.5732356309890747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5522307753562927},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5380690693855286},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5264176726341248},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5179316401481628},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.49940061569213867},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4739375412464142},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.465844988822937},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.41434934735298157},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41418689489364624},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41368600726127625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32203733921051025},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25461050868034363},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07621464133262634},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.06570351123809814}],"concepts":[{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.7015842795372009},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6349729299545288},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6005547046661377},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5982592105865479},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5931023359298706},{"id":"https://openalex.org/C6177178","wikidata":"https://www.wikidata.org/wiki/Q10998070","display_name":"Discounting","level":2,"score":0.5732356309890747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5522307753562927},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5380690693855286},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5264176726341248},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5179316401481628},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.49940061569213867},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4739375412464142},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.465844988822937},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.41434934735298157},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41418689489364624},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41368600726127625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32203733921051025},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25461050868034363},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07621464133262634},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.06570351123809814},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2018.8619557","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619557","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W32403112","https://openalex.org/W41554520","https://openalex.org/W1540821927","https://openalex.org/W1730555343","https://openalex.org/W1991555527","https://openalex.org/W2038137192","https://openalex.org/W2054136677","https://openalex.org/W2083779180","https://openalex.org/W2098432798","https://openalex.org/W2101786389","https://openalex.org/W2117355432","https://openalex.org/W2120346334","https://openalex.org/W2121863487","https://openalex.org/W2130599357","https://openalex.org/W2163148228","https://openalex.org/W2168027532","https://openalex.org/W2529970964","https://openalex.org/W2753794385","https://openalex.org/W6637597983","https://openalex.org/W6677549092","https://openalex.org/W6677737365","https://openalex.org/W6679630895"],"related_works":["https://openalex.org/W2348852664","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W1965992231","https://openalex.org/W3102460617","https://openalex.org/W2949730153","https://openalex.org/W2050693590","https://openalex.org/W1990502710","https://openalex.org/W2159479095"],"abstract_inverted_index":{"Discounted":[0],"costs":[1],"are":[2,67,112,145],"considered":[3],"in":[4,61,132,152,170],"many":[5],"fields,":[6],"like":[7],"reinforcement":[8],"learning,":[9],"for":[10,21,89],"which":[11,133],"various":[12],"algorithms":[13],"can":[14],"be":[15],"used":[16],"to":[17,70,81],"obtain":[18],"optimal":[19,50],"inputs":[20,53],"finite":[22],"horizons.":[23],"The":[24],"related":[25,69,168],"literature":[26,172],"mostly":[27],"concentrates":[28],"on":[29,137,181],"optimality":[30],"and":[31,76,100,117,141,173],"largely":[32],"ignores":[33],"stability.":[34],"In":[35],"this":[36],"context,":[37],"we":[38,174],"study":[39],"stability":[40,104,124],"of":[41,52,73],"general":[42],"nonlinear":[43],"discrete-":[44],"time":[45],"systems":[46],"controlled":[47],"by":[48,127],"an":[49],"sequence":[51],"that":[54],"minimizes":[55],"a":[56,62,86,101],"finite-horizon":[57],"discounted":[58],"cost":[59],"computed":[60],"receding":[63,95],"horizon":[64,96,119,143,163],"fashion.":[65],"Assumptions":[66],"made":[68],"the":[71,74,82,90,94,109,114,118,129,138,142,149,153,162,171,182],"stabilizability":[72],"system":[75,92],"its":[77],"detectability":[78],"with":[79,93,167],"respect":[80],"stage":[83],"cost.":[84],"Then,":[85],"Lyapunov":[87],"function":[88],"closed-loop":[91],"controller":[97],"is":[98,106,125,158,164],"constructed":[99],"uniform":[102],"semiglobal":[103],"property":[105],"ensured,":[107],"where":[108,156],"adjustable":[110],"parameters":[111],"both":[113],"discount":[115,139,160],"factor":[116,140],"length.":[120],"Uniform":[121],"global":[122],"exponential":[123],"guaranteed":[126],"strengthening":[128],"initial":[130],"assumptions,":[131],"case":[134],"explicit":[135],"bounds":[136,151,177],"length":[144],"provided.":[146],"We":[147],"compare":[148],"obtained":[150],"particular":[154],"cases":[155],"there":[157],"no":[159],"or":[161],"infinite,":[165],"respectively,":[166],"results":[169],"show":[175],"our":[176],"improve":[178],"existing":[179],"ones":[180],"examples":[183],"considered.":[184]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
