{"id":"https://openalex.org/W1985688168","doi":"https://doi.org/10.1109/cdc.2009.5400773","title":"The policy iteration algorithm for average continuous control of piecewise deterministic Markov processes","display_name":"The policy iteration algorithm for average continuous control of piecewise deterministic Markov processes","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W1985688168","doi":"https://doi.org/10.1109/cdc.2009.5400773","mag":"1985688168"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0902.2673","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072909119","display_name":"O.L.V. Costa","orcid":"https://orcid.org/0000-0002-0875-8698"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210096134","display_name":"Universidade Politecnica","ror":"https://ror.org/00tnfjj44","country_code":"MZ","type":"education","lineage":["https://openalex.org/I4210096134"]},{"id":"https://openalex.org/I4210099176","display_name":"Universidade Cidade de S\u00e3o Paulo","ror":"https://ror.org/012gg9483","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210099176"]}],"countries":["BR","MZ"],"is_corresponding":false,"raw_author_name":"O.L.V. Costa","raw_affiliation_strings":["Departamento de Engenharia de Telecomunica\u00e7\u00f5ese Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, Brazil","USP - Universidade de S\u00e3o Paulo = University of S\u00e3o Paulo (Cidade Universitaria - 05508-090 S\u00e3o Paulo - Brazil)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia de Telecomunica\u00e7\u00f5ese Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I4210096134"]},{"raw_affiliation_string":"USP - Universidade de S\u00e3o Paulo = University of S\u00e3o Paulo (Cidade Universitaria - 05508-090 S\u00e3o Paulo - Brazil)","institution_ids":["https://openalex.org/I17974374","https://openalex.org/I4210099176"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052608804","display_name":"Fran\u00e7ois Dufour","orcid":"https://orcid.org/0000-0001-6653-2024"},"institutions":[{"id":"https://openalex.org/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Dufour","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bordeaux, and INRIABordeaux Sud-Ouest, Univ\u00e9rsit\u00e9 de Bordeaux, Talence, France","CQFD - Quality control and dynamic reliability (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bordeaux, and INRIABordeaux Sud-Ouest, Univ\u00e9rsit\u00e9 de Bordeaux, Talence, France","institution_ids":["https://openalex.org/I4210131512","https://openalex.org/I4210166017"]},{"raw_affiliation_string":"CQFD - Quality control and dynamic reliability (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210166017"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4872,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59098166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":null,"first_page":"506","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9900000095367432,"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"}},"topics":[{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9900000095367432,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9890999794006348,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9815000295639038,"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/mathematics","display_name":"Mathematics","score":0.7605888247489929},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6422955393791199},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6207581162452698},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5892224907875061},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5697633624076843},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5292897820472717},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5204970240592957},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49878668785095215},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.48387229442596436},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47310709953308105},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.45852747559547424},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4268401861190796},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4222119450569153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15838298201560974}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7605888247489929},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6422955393791199},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6207581162452698},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5892224907875061},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5697633624076843},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5292897820472717},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5204970240592957},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49878668785095215},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.48387229442596436},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47310709953308105},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.45852747559547424},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4268401861190796},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4222119450569153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15838298201560974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5400773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:0902.2673","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0902.2673","pdf_url":"https://arxiv.org/pdf/0902.2673","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0902.2673","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0902.2673","pdf_url":"https://arxiv.org/pdf/0902.2673","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338463","display_name":"CHIST-ERA","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W323116121","https://openalex.org/W354839235","https://openalex.org/W891486198","https://openalex.org/W1495322827","https://openalex.org/W1524028581","https://openalex.org/W1578233523","https://openalex.org/W1966294600","https://openalex.org/W1967037758","https://openalex.org/W1985688168","https://openalex.org/W1994038771","https://openalex.org/W2010654234","https://openalex.org/W2026850974","https://openalex.org/W2084785291","https://openalex.org/W2113380613","https://openalex.org/W2115558605","https://openalex.org/W2119567691","https://openalex.org/W2130401049","https://openalex.org/W2143706916","https://openalex.org/W2177001830","https://openalex.org/W2317531417","https://openalex.org/W2334782222","https://openalex.org/W2465828773","https://openalex.org/W2577445335","https://openalex.org/W3101299635","https://openalex.org/W3140571750","https://openalex.org/W4210545817","https://openalex.org/W4247619688","https://openalex.org/W4294009563","https://openalex.org/W4298023569","https://openalex.org/W4385797290","https://openalex.org/W6629650881","https://openalex.org/W6631121416","https://openalex.org/W6646732777","https://openalex.org/W6792278753","https://openalex.org/W7001894244"],"related_works":["https://openalex.org/W3021860850","https://openalex.org/W2074695827","https://openalex.org/W4388236136","https://openalex.org/W2807018115","https://openalex.org/W4200250224","https://openalex.org/W2126560268","https://openalex.org/W2285658092","https://openalex.org/W187740018","https://openalex.org/W2482498454","https://openalex.org/W2162286586"],"abstract_inverted_index":{"The":[0],"main":[1],"goal":[2],"of":[3,23,74],"this":[4,91],"paper":[5],"is":[6,69],"to":[7,48,62,77,95],"apply":[8],"the":[9,16,43,63,66,72,75,81,101,106],"so-called":[10],"policy":[11],"iteration":[12],"algorithm":[13],"(PIA)":[14],"for":[15,57,100,105],"long":[17],"run":[18],"average":[19,102],"continuous":[20],"control":[21,98,103],"problem":[22,104],"piecewise":[24],"deterministic":[25],"Markov":[26],"processes":[27],"(PDMP's)":[28],"taking":[29],"values":[30],"in":[31,109],"a":[32,58,78,110],"general":[33],"Borel":[34],"space":[35,40],"and":[36,89],"with":[37],"compact":[38],"action":[39],"depending":[41],"on":[42],"state":[44],"variable.":[45],"In":[46,65],"order":[47],"do":[49],"that":[50,71,90],"we":[51],"first":[52],"derive":[53],"some":[54,86],"important":[55],"properties":[56],"pseudo-Poisson":[59],"equation":[60,83],"associated":[61],"problem.":[64],"sequence":[67],"it":[68],"shown":[70],"convergence":[73],"PIA":[76],"solution":[79,93],"satisfying":[80],"optimality":[82],"holds":[84],"under":[85],"classical":[87],"hypotheses":[88],"optimal":[92,97],"yields":[94],"an":[96],"strategy":[99],"continuous-time":[107],"PDMP":[108],"feedback":[111],"form.":[112]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}