{"id":"https://openalex.org/W4295770513","doi":"https://doi.org/10.1109/cdc51059.2022.9993315","title":"Regularizing policy iteration for recursive feasibility and stability","display_name":"Regularizing policy iteration for recursive feasibility and stability","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4295770513","doi":"https://doi.org/10.1109/cdc51059.2022.9993315"},"language":"en","primary_location":{"id":"doi:10.1109/cdc51059.2022.9993315","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9993315","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03777264","any_repository_has_fulltext":true},"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/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":"Mathieu Granzotto","raw_affiliation_strings":["University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078074674","display_name":"Olivier Lindamulage de Silva","orcid":"https://orcid.org/0000-0002-6254-966X"},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"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":"Olivier Lindamulage de Silva","raw_affiliation_strings":["Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France,F-54000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France,F-54000","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590","https://openalex.org/I4210110792"]}]},{"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"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":["Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France,F-54000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France,F-54000","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I1294671590","https://openalex.org/I4210110792"]}]},{"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":["University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical and Electronic Engineering,Parkville,VIC,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067046312","display_name":"Zhong\u2010Ping Jiang","orcid":"https://orcid.org/0000-0002-4868-9359"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhong-Ping Jiang","raw_affiliation_strings":["New York University,Department of Electrical and Computer Engineering,Brooklyn,NY,USA,11201"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University,Department of Electrical and Computer Engineering,Brooklyn,NY,USA,11201","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"6818","last_page":"6823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998000264167786,"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":0.9998000264167786,"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9789000153541565,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/convergence","display_name":"Convergence (economics)","score":0.6545370817184448},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6343506574630737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4976833164691925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4329023063182831},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3740207254886627},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3580954670906067},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34248995780944824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34154239296913147},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11069631576538086}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6545370817184448},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6343506574630737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4976833164691925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4329023063182831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3740207254886627},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3580954670906067},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34248995780944824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34154239296913147},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11069631576538086},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc51059.2022.9993315","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc51059.2022.9993315","pdf_url":null,"source":{"id":"https://openalex.org/S4363607710","display_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 61st Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03777264v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03777264","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"61th IEEE Conference on Decision and Control, CDC 2022, Dec 2022, Cancun, Mexico","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03777264v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03777264","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"61th IEEE Conference on Decision and Control, CDC 2022, Dec 2022, Cancun, Mexico","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1680219837","https://openalex.org/W1804910891","https://openalex.org/W1991555527","https://openalex.org/W2023465281","https://openalex.org/W2048687352","https://openalex.org/W2054136677","https://openalex.org/W2059722814","https://openalex.org/W2073990179","https://openalex.org/W2080106578","https://openalex.org/W2098432798","https://openalex.org/W2168027532","https://openalex.org/W2467518411","https://openalex.org/W2488408417","https://openalex.org/W2495821608","https://openalex.org/W2511957348","https://openalex.org/W2529970964","https://openalex.org/W2623884029","https://openalex.org/W2903749953","https://openalex.org/W2962974451","https://openalex.org/W3015341440","https://openalex.org/W3035578948","https://openalex.org/W4205326910","https://openalex.org/W4244299687","https://openalex.org/W4249513058","https://openalex.org/W4255043376","https://openalex.org/W4294555834","https://openalex.org/W6738483526","https://openalex.org/W6780383567"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1517908938","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W2033096984","https://openalex.org/W3121191496","https://openalex.org/W1550676882"],"abstract_inverted_index":{"We":[0,90,114,164],"present":[1,136],"a":[2,60,66,107,188],"new":[3],"algorithm":[4,78],"called":[5],"policy":[6,31,76,127],"iteration":[7,32,55,77,105],"plus":[8],"(PI<sup":[9],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,26,88,98,143,157],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>)":[11],"for":[12,110,126,141,191,200],"the":[13,35,46,49,75,93,100,111,147,151,160,171,204],"optimal":[14,161],"control":[15],"of":[16,96,138,150,203],"nonlinear":[17],"deterministic":[18],"discrete-time":[19],"plants":[20],"with":[21],"general":[22,120],"cost":[23],"functions.":[24],"PI<sup":[25,87,97,142,156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>":[27,144,158],"builds":[28],"upon":[29],"classical":[30],"and":[33,145,178,194],"has":[34],"distinctive":[36],"feature":[37],"to":[38,58,80,86,159],"enforce":[39],"recursive":[40,63,94,182,196],"feasibility":[41,64,183],"under":[42,118],"mild":[43],"conditions,":[44],"in":[45,83],"sense":[47],"that":[48,71,166],"minimization":[50],"problems":[51],"solved":[52],"at":[53,103],"each":[54,104],"are":[56],"guaranteed":[57],"admit":[59],"solution.":[61],"While":[62],"is":[65,184,198],"desired":[67],"property,":[68],"it":[69,82,193],"appears":[70],"existing":[72],"results":[73,117,168],"on":[74,174],"fail":[79],"ensure":[81,106],"general,":[84],"contrary":[85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>.":[89],"also":[91],"establish":[92],"stability":[95,108,197],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>:":[99],"policies":[101],"generated":[102,154],"property":[109],"closed-loop":[112],"system.":[113,205],"prove":[115,146],"our":[116],"more":[119],"conditions":[121],"than":[122],"those":[123],"currently":[124],"available":[125],"iteration,":[128],"by":[129,155],"notably":[130],"covering":[131],"set":[132],"stability.":[133],"Finally,":[134],"we":[135],"characterizations":[137],"near-optimality":[139],"bounds":[140],"uniform":[148],"convergence":[149],"value":[152,162],"functions":[153],"function.":[163],"believe":[165],"these":[167],"would":[169],"benefit":[170],"burgeoning":[172],"literature":[173],"approximate":[175],"dynamic":[176],"programming":[177],"reinforcement":[179],"learning,":[180],"where":[181,195],"typically":[185],"assumed":[186],"without":[187],"clear":[189],"method":[190],"verifying":[192],"essential":[199],"safe":[201],"operation":[202]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
