{"id":"https://openalex.org/W2137178023","doi":"https://doi.org/10.1109/isic.2007.4450950","title":"Near Optimal Neural Network-based Output Feedback Control of Affine Nonlinear Discrete-Time Systems","display_name":"Near Optimal Neural Network-based Output Feedback Control of Affine Nonlinear Discrete-Time Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2137178023","doi":"https://doi.org/10.1109/isic.2007.4450950","mag":"2137178023"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2007.4450950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","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/A5062534500","display_name":"Qinmin Yang","orcid":"https://orcid.org/0000-0002-1602-8986"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Qinmin Yang","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Missouri, Rolla, MO, USA","University of Missouri - Rolla"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"University of Missouri - Rolla","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078910343","display_name":"S. Jagannathan","orcid":"https://orcid.org/0000-0002-2310-3737"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Jagannathan","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Missouri, Rolla, MO, USA","University of Missouri - Rolla"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"University of Missouri - Rolla","institution_ids":["https://openalex.org/I20382870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062534500"],"corresponding_institution_ids":["https://openalex.org/I20382870"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.15933882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"578","last_page":"583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"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":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9951000213623047,"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/T12676","display_name":"Machine Learning and ELM","score":0.991100013256073,"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/control-theory","display_name":"Control theory (sociology)","score":0.7961925268173218},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6615157723426819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6071719527244568},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5802187323570251},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5633495450019836},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5579925179481506},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5546542406082153},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.548304557800293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5304738283157349},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5167955160140991},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4988126754760742},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4455398917198181},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.41426974534988403},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3061440587043762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27827537059783936},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1946723461151123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17690518498420715}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7961925268173218},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6615157723426819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6071719527244568},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5802187323570251},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5633495450019836},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5579925179481506},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5546542406082153},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.548304557800293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5304738283157349},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5167955160140991},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4988126754760742},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4455398917198181},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.41426974534988403},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3061440587043762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27827537059783936},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1946723461151123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17690518498420715},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isic.2007.4450950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","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":19,"referenced_works":["https://openalex.org/W32403112","https://openalex.org/W1162378864","https://openalex.org/W1574514837","https://openalex.org/W1854776945","https://openalex.org/W1969166509","https://openalex.org/W1986278072","https://openalex.org/W2015858376","https://openalex.org/W2062533874","https://openalex.org/W2077195478","https://openalex.org/W2090167557","https://openalex.org/W2115083560","https://openalex.org/W2121863487","https://openalex.org/W2131398727","https://openalex.org/W2136064843","https://openalex.org/W2142459785","https://openalex.org/W2165501837","https://openalex.org/W4214717370","https://openalex.org/W4298300677","https://openalex.org/W6681155918"],"related_works":["https://openalex.org/W2142014702","https://openalex.org/W3102460617","https://openalex.org/W1934622834","https://openalex.org/W2015036175","https://openalex.org/W1990502710","https://openalex.org/W2159479095","https://openalex.org/W1545539801","https://openalex.org/W1832247486","https://openalex.org/W4280596088","https://openalex.org/W1966075561"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,30,58,125],"novel":[4],"online":[5],"reinforcement":[6],"learning":[7],"neural":[8],"network":[9,51],"(NN)-based":[10],"optimal":[11,54,80],"output":[12,78],"feedback":[13],"controller,":[14,20],"referred":[15],"to":[16,28,44,77],"as":[17,73],"adaptive":[18,35,72],"critic":[19,36,59,69],"is":[21,70,84,110,117],"proposed":[22],"for":[23,119],"affine":[24],"nonlinear":[25],"discrete-time":[26],"systems,":[27],"deliver":[29],"desired":[31],"tracking":[32,105],"performance.":[33],"The":[34,68,112],"design":[37],"consist":[38],"of":[39,64,101,114,122],"three":[40],"entities,":[41],"an":[42,49],"observer":[43],"estimate":[45],"the":[46,62,65,79,87,93,96,102,115,120],"system":[47],"states,":[48],"action":[50,66],"that":[52,60],"produces":[53],"control":[55],"input":[56],"and":[57,104,107],"evaluates":[61],"performance":[63],"network.":[67],"termed":[71],"it":[74],"adapts":[75],"itself":[76],"cost-to-go":[81],"function":[82],"which":[83],"based":[85],"on":[86],"standard":[88],"Bellman":[89],"equation.":[90],"By":[91],"using":[92],"Lyapunov":[94],"approach,":[95],"uniformly":[97],"ultimate":[98],"boundedness":[99],"(UUB)":[100],"estimation":[103],"errors":[106],"weight":[108],"estimates":[109],"demonstrated.":[111],"effectiveness":[113],"controller":[116],"evaluated":[118],"task":[121],"nanomanipulation":[123],"in":[124],"simulation":[126],"environment.":[127]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}