{"id":"https://openalex.org/W2127259008","doi":"https://doi.org/10.1109/ijcnn.2009.5178681","title":"Adaptive dynamic programming for discrete-time systems with infinite horizon and &amp;#x2208;-error bound in the performance cost","display_name":"Adaptive dynamic programming for discrete-time systems with infinite horizon and &amp;#x2208;-error bound in the performance cost","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2127259008","doi":"https://doi.org/10.1109/ijcnn.2009.5178681","mag":"2127259008"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2009.5178681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2009.5178681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Joint Conference on Neural Networks","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/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["Key Laboratory of Complex Systems and Intelligence science, Chinese Academy and Sciences, Beijing, China","Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Complex Systems and Intelligence science, Chinese Academy and Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071914915","display_name":"Ning Jin","orcid":"https://orcid.org/0000-0002-5828-6908"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Jin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA","Department of Electrical and Computer Engineering, University of Illinois, Chicago, 60607-7053, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, 60607-7053, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"1849","last_page":"1854"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9865999817848206,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/dynamic-programming","display_name":"Dynamic programming","score":0.7012916803359985},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5398818850517273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49855828285217285},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.451917439699173},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4483003318309784},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41700831055641174},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39682987332344055},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3879563808441162},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3409419357776642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3192799687385559},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13199949264526367},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09261006116867065}],"concepts":[{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.7012916803359985},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5398818850517273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49855828285217285},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.451917439699173},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4483003318309784},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41700831055641174},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39682987332344055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3879563808441162},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3409419357776642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3192799687385559},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13199949264526367},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09261006116867065},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2009.5178681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2009.5178681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Joint Conference on Neural Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W92805021","https://openalex.org/W1573503290","https://openalex.org/W1576452626","https://openalex.org/W1583044277","https://openalex.org/W1605371940","https://openalex.org/W1915358632","https://openalex.org/W1969166509","https://openalex.org/W2013184330","https://openalex.org/W2014265988","https://openalex.org/W2035817890","https://openalex.org/W2044922360","https://openalex.org/W2048272394","https://openalex.org/W2093831009","https://openalex.org/W2108286682","https://openalex.org/W2136064843","https://openalex.org/W2137442297","https://openalex.org/W2147170031","https://openalex.org/W2160561608","https://openalex.org/W2165501837","https://openalex.org/W2341171179","https://openalex.org/W2534377043","https://openalex.org/W2961703895","https://openalex.org/W3105500761","https://openalex.org/W3121926921","https://openalex.org/W3147159035","https://openalex.org/W3213472335","https://openalex.org/W4307347247","https://openalex.org/W6603762378","https://openalex.org/W6804409665"],"related_works":["https://openalex.org/W4360764540","https://openalex.org/W4231657010","https://openalex.org/W2007917622","https://openalex.org/W1994552539","https://openalex.org/W2385305544","https://openalex.org/W2395986200","https://openalex.org/W1985852812","https://openalex.org/W2602009922","https://openalex.org/W2166339378","https://openalex.org/W3104183741"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"our":[5],"work":[6],"on":[7],"infinite":[8],"horizon":[9],"adaptive":[10],"dynamic":[11,20],"programming":[12],"problem,":[13],"which":[14,46],"is":[15,47,61,92,116],"referred":[16],"to":[17,63,83,94,107,123],"as":[18],"isin-adaptive":[19],"programming,":[21],"for":[22,111],"discrete-time":[23],"systems":[24],"with":[25],"discount":[26],"factor":[27],"0<gamma<1":[28],"in":[29],"the":[30,65,81,85,89,95,113,125,128],"performance":[31,90,101,126],"cost.":[32],"A":[33],"single":[34],"controller,":[35],"isin-optimal":[36,51,69,114],"controller":[37,70,115],"mu":[38,71],"<sub":[39,54,72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,43,55,58,73,76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">isin</sub>":[41,56,74],"<sup":[42,57,75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">*</sup>":[44,59,77],",":[45,60],"determined":[48],"from":[49],"an":[50,104],"cost":[52,91],"V":[53],"obtained":[62],"approximate":[64],"optimal":[66],"controller.":[67],"The":[68],"can":[78],"always":[79],"control":[80],"state":[82],"approach":[84],"equilibrium":[86],"state,":[87],"while":[88],"close":[93],"biggest":[96],"lower":[97],"bound":[98],"of":[99,127],"all":[100],"costs":[102],"within":[103],"error":[105],"according":[106],"isin.":[108],"An":[109],"algorithm":[110],"finding":[112],"developed":[117],"and":[118],"numerical":[119],"experiments":[120],"are":[121],"given":[122],"illustrate":[124],"algorithm.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
