{"id":"https://openalex.org/W1490563433","doi":"https://doi.org/10.1109/cdc.2002.1184352","title":"Convergence of numerical optimal feedback policies for deterministic optimal control problems","display_name":"Convergence of numerical optimal feedback policies for deterministic optimal control problems","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1490563433","doi":"https://doi.org/10.1109/cdc.2002.1184352","mag":"1490563433"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5010647194","display_name":"Paul Dupuis","orcid":null},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Dupuis","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, RI, USA","Div. of Appl. Math., Brown Univ., Providence, RI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, RI, USA","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Div. of Appl. Math., Brown Univ., Providence, RI, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046685365","display_name":"Adam A. Szpiro","orcid":"https://orcid.org/0000-0003-4995-238X"},"institutions":[{"id":"https://openalex.org/I4210122954","display_name":"MIT Lincoln Laboratory","ror":"https://ror.org/022z6jk58","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Szpiro","raw_affiliation_strings":["Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, MA, USA","Massachusetts Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, MA, USA","institution_ids":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02283105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"3138","last_page":"3143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.994700014591217,"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":0.994700014591217,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9912999868392944,"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":0.9858999848365784,"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/optimal-control","display_name":"Optimal control","score":0.7217142581939697},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7073788642883301},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6598040461540222},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6577799320220947},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5975849628448486},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5868891477584839},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5511915683746338},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.527349591255188},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5170091390609741},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.49118730425834656},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.48942533135414124},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46994879841804504},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4297883212566376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41348063945770264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3966105282306671},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07261320948600769}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7217142581939697},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7073788642883301},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6598040461540222},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6577799320220947},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5975849628448486},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5868891477584839},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5511915683746338},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.527349591255188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5170091390609741},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.49118730425834656},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.48942533135414124},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46994879841804504},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4297883212566376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41348063945770264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3966105282306671},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07261320948600769},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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.2002.1184352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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":8,"referenced_works":["https://openalex.org/W2055962914","https://openalex.org/W2066867936","https://openalex.org/W2085889587","https://openalex.org/W2110065373","https://openalex.org/W2154018969","https://openalex.org/W3179730449","https://openalex.org/W4232187485","https://openalex.org/W4302367620"],"related_works":["https://openalex.org/W2152670157","https://openalex.org/W4308702637","https://openalex.org/W2386410636","https://openalex.org/W176737593","https://openalex.org/W2156021013","https://openalex.org/W2903299703","https://openalex.org/W1859185863","https://openalex.org/W2016648086","https://openalex.org/W3105579180","https://openalex.org/W2767258356"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,10,104],"Markov":[3,100],"chain":[4,101],"based":[5],"numerical":[6],"approximation":[7],"method":[8,102],"for":[9],"class":[11],"of":[12,23,61,77,96,107],"deterministic":[13],"nonlinear":[14],"optimal":[15,45,67,111],"control":[16,68],"problems.":[17],"It":[18],"is":[19,69,80,116],"known":[20],"that":[21,92],"methods":[22],"this":[24],"type":[25],"yield":[26],"convergent":[27,105],"approximations":[28,108],"to":[29,43,109],"the":[30,34,44,54,66,75,85,94,99,110],"value":[31],"function":[32],"on":[33,53,64,93],"entire":[35,55],"domain.":[36,56,86],"These":[37],"results":[38],"do":[39],"not":[40,49],"easily":[41],"extend":[42],"control,":[46],"which":[47,65],"need":[48],"be":[50],"uniquely":[51],"defined":[52,71],"There":[57],"are,":[58],"however,":[59],"regions":[60,79,95],"strong":[62,97],"regularity":[63],"well":[70],"and":[72,82],"smooth.":[73],"Typically,":[74],"union":[76],"these":[78],"open":[81],"dense":[83],"in":[84],"Using":[87],"probabilistic":[88],"methods,":[89],"we":[90],"prove":[91],"regularity,":[98],"yields":[103],"sequence":[106],"feedback":[112],"control.":[113],"The":[114],"result":[115],"illustrated":[117],"with":[118],"several":[119],"examples.":[120]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
