{"id":"https://openalex.org/W2967651253","doi":"https://doi.org/10.23919/ecc.2019.8795815","title":"Approximate Dynamic Programming For Linear Systems with State and Input Constraints","display_name":"Approximate Dynamic Programming For Linear Systems with State and Input Constraints","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2967651253","doi":"https://doi.org/10.23919/ecc.2019.8795815","mag":"2967651253"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8795815","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-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/A5074220429","display_name":"Ankush Chakrabarty","orcid":"https://orcid.org/0000-0001-9637-854X"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ankush Chakrabarty","raw_affiliation_strings":["Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071606836","display_name":"Rien Quirynen","orcid":"https://orcid.org/0000-0003-4330-2896"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rien Quirynen","raw_affiliation_strings":["Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072891938","display_name":"Claus Danielson","orcid":"https://orcid.org/0000-0002-2317-3014"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claus Danielson","raw_affiliation_strings":["Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Control and Dynamical (CD) Systems Group, Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040120960","display_name":"Weinan Gao","orcid":"https://orcid.org/0000-0001-7921-018X"},"institutions":[{"id":"https://openalex.org/I39815113","display_name":"Georgia Southern University","ror":"https://ror.org/04agmb972","country_code":"US","type":"education","lineage":["https://openalex.org/I39815113"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weinan Gao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Georgia Southern University, Statesboro, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Georgia Southern University, Statesboro, GA, USA","institution_ids":["https://openalex.org/I39815113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074220429"],"corresponding_institution_ids":["https://openalex.org/I4210159266"],"apc_list":null,"apc_paid":null,"fwci":2.3278,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89732538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9916999936103821,"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":0.9843999743461609,"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/dynamic-programming","display_name":"Dynamic programming","score":0.7168427109718323},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.6098321080207825},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.5773657560348511},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5660368204116821},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5579017400741577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5519046187400818},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5484786629676819},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5478566884994507},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.531380832195282},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.511845052242279},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4690535366535187},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4519753158092499},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4351496398448944},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43328818678855896},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4237423539161682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2960755228996277},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26525938510894775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19792801141738892},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12377646565437317}],"concepts":[{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7168427109718323},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.6098321080207825},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.5773657560348511},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5660368204116821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5579017400741577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5519046187400818},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5484786629676819},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5478566884994507},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.531380832195282},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.511845052242279},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4690535366535187},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4519753158092499},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4351496398448944},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43328818678855896},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4237423539161682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2960755228996277},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26525938510894775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19792801141738892},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12377646565437317},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","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/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2019.8795815","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.699999988079071,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W32403112","https://openalex.org/W178056938","https://openalex.org/W1504448809","https://openalex.org/W1616818660","https://openalex.org/W1907796993","https://openalex.org/W1965324089","https://openalex.org/W1976410223","https://openalex.org/W2005437559","https://openalex.org/W2011866373","https://openalex.org/W2024303516","https://openalex.org/W2037025184","https://openalex.org/W2038341035","https://openalex.org/W2093831009","https://openalex.org/W2097253853","https://openalex.org/W2098432798","https://openalex.org/W2121863487","https://openalex.org/W2152161277","https://openalex.org/W2165726932","https://openalex.org/W2298163601","https://openalex.org/W2320868965","https://openalex.org/W2333120204","https://openalex.org/W2529203006","https://openalex.org/W2586495351","https://openalex.org/W2772589676","https://openalex.org/W2789442532","https://openalex.org/W2887709062","https://openalex.org/W2914506601","https://openalex.org/W3098713169","https://openalex.org/W3098794246"],"related_works":["https://openalex.org/W2482034469","https://openalex.org/W2048648086","https://openalex.org/W2028893122","https://openalex.org/W3017943390","https://openalex.org/W2541494166","https://openalex.org/W2139356344","https://openalex.org/W2113717338","https://openalex.org/W2182547058","https://openalex.org/W2364351708","https://openalex.org/W2895393216"],"abstract_inverted_index":{"Enforcing":[0],"state":[1,11],"and":[2,52],"input":[3],"constraints":[4],"during":[5],"reinforcement":[6],"learning":[7],"(RL)":[8],"in":[9,26,74],"continuous":[10],"spaces":[12],"is":[13,78,85],"an":[14,39],"open":[15],"but":[16],"crucial":[17],"problem":[18],"which":[19],"remains":[20],"a":[21,59,75,88],"roadblock":[22],"to":[23,34,54],"using":[24],"RL":[25],"safety-critical":[27],"applications.":[28],"This":[29],"paper":[30],"leverages":[31],"invariant":[32],"sets":[33],"update":[35],"control":[36],"policies":[37],"within":[38],"approximate":[40],"dynamic":[41],"programming":[42],"(ADP)":[43],"framework":[44],"that":[45],"guarantees":[46],"constraint":[47],"satisfaction":[48],"for":[49,67],"all":[50],"time":[51],"converges":[53],"the":[55,69],"optimal":[56],"policy":[57],"(in":[58],"linear":[60],"quadratic":[61],"regulator":[62],"sense)":[63],"asymptotically.":[64],"An":[65],"algorithm":[66],"implementing":[68],"proposed":[70],"constrained":[71],"ADP":[72],"approach":[73],"data-driven":[76],"manner":[77],"provided.":[79],"The":[80],"potential":[81],"of":[82],"this":[83],"formalism":[84],"demonstrated":[86],"via":[87],"numerical":[89],"example.":[90]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
