{"id":"https://openalex.org/W2160126685","doi":"https://doi.org/10.1109/tac.2010.2073610","title":"Lebesgue-Sampling-Based Optimal Control Problems With Time Aggregation","display_name":"Lebesgue-Sampling-Based Optimal Control Problems With Time Aggregation","publication_year":2010,"publication_date":"2010-09-08","ids":{"openalex":"https://openalex.org/W2160126685","doi":"https://doi.org/10.1109/tac.2010.2073610","mag":"2160126685"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2073610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2073610","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","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/A5047952488","display_name":"Yankai Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan-Kai Xu","raw_affiliation_strings":["Beijing GeoScience Center, Schlumberger Limited, CFINS, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing GeoScience Center, Schlumberger Limited, CFINS, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635237","display_name":"Xi\u2010Ren Cao","orcid":"https://orcid.org/0000-0001-5165-8804"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xi-Ren Cao","raw_affiliation_strings":["Hong Kong University of Science and Technology, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047952488"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":6.0513,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96231657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"5","first_page":"1097","last_page":"1109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9983999729156494,"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":0.9983999729156494,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.996999979019165,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9919999837875366,"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/markov-decision-process","display_name":"Markov decision process","score":0.682937502861023},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6278437972068787},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.603137731552124},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.5838731527328491},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.5581284761428833},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5006699562072754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5003859996795654},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4800087809562683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4651563763618469},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.46404263377189636},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4100697636604309},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13870039582252502},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11703354120254517},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10110148787498474},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.074544757604599}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.682937502861023},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6278437972068787},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.603137731552124},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.5838731527328491},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.5581284761428833},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5006699562072754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5003859996795654},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4800087809562683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4651563763618469},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.46404263377189636},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4100697636604309},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13870039582252502},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11703354120254517},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10110148787498474},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.074544757604599},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2010.2073610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2073610","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.473.1245","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.473.1245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ee.ust.hk/~eecao/paper/XuCao11_TAC.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-35050","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-35050","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W42690868","https://openalex.org/W1561445488","https://openalex.org/W1576452626","https://openalex.org/W1591710988","https://openalex.org/W1607905281","https://openalex.org/W1685524015","https://openalex.org/W1854776945","https://openalex.org/W1962161091","https://openalex.org/W2014272430","https://openalex.org/W2023285936","https://openalex.org/W2080040321","https://openalex.org/W2098589862","https://openalex.org/W2101850688","https://openalex.org/W2117092140","https://openalex.org/W2121863487","https://openalex.org/W2123952007","https://openalex.org/W2127286343","https://openalex.org/W2139306160","https://openalex.org/W2147124989","https://openalex.org/W2148486947","https://openalex.org/W2152185829","https://openalex.org/W2154204727","https://openalex.org/W2160692739","https://openalex.org/W2168456661","https://openalex.org/W2334782222","https://openalex.org/W2484957131","https://openalex.org/W2491188924","https://openalex.org/W2611866857","https://openalex.org/W3151151945","https://openalex.org/W3213472335","https://openalex.org/W4214717370","https://openalex.org/W4246586762","https://openalex.org/W4307347247","https://openalex.org/W6601711122"],"related_works":["https://openalex.org/W2937181779","https://openalex.org/W1985560493","https://openalex.org/W1556532828","https://openalex.org/W1574991376","https://openalex.org/W4363672037","https://openalex.org/W1991138660","https://openalex.org/W3198564127","https://openalex.org/W2146763310","https://openalex.org/W3119377649","https://openalex.org/W4308702637"],"abstract_inverted_index":{"We":[0,7],"formulate":[1],"the":[2,10,16,33,46,49],"Lebesgue-sampling-based":[3],"optimal":[4,34],"control":[5],"problem.":[6],"show":[8],"that":[9],"problem":[11],"can":[12],"be":[13],"solved":[14],"by":[15],"time":[17],"aggregation":[18],"approach":[19],"in":[20],"Markov":[21],"decision":[22],"processes":[23],"(MDP)":[24],"theory.":[25],"Policy-iteration-based":[26],"and":[27,39],"reinforcement-learning-based":[28],"methods":[29],"are":[30,42],"developed":[31],"for":[32],"policies.":[35],"Both":[36],"analytical":[37],"solutions":[38],"sample-path-based":[40],"algorithms":[41],"given.":[43],"Compared":[44],"to":[45],"periodic-sampling":[47],"scheme,":[48],"Lebesgue":[50],"sampling":[51],"scheme":[52],"improves":[53],"system":[54],"performance.":[55]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}