{"id":"https://openalex.org/W4407949447","doi":"https://doi.org/10.1109/cdc56724.2024.10886398","title":"Remarks on the Gradient Training of Linear Neural Network Based Feedback for the LQR Problem","display_name":"Remarks on the Gradient Training of Linear Neural Network Based Feedback for the LQR Problem","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949447","doi":"https://doi.org/10.1109/cdc56724.2024.10886398"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","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/A5048660293","display_name":"Arthur Castello B. de Oliveira","orcid":"https://orcid.org/0000-0002-7683-551X"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur Castello B. De Oliveira","raw_affiliation_strings":["Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058687251","display_name":"Milad Siami","orcid":"https://orcid.org/0000-0001-7253-4464"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Milad Siami","raw_affiliation_strings":["Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068753451","display_name":"Eduardo D. Sontag","orcid":"https://orcid.org/0000-0001-8020-5783"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eduardo D. Sontag","raw_affiliation_strings":["Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University,Department of Electrical & Computer Engineering,Boston,MA,USA,02115","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":null,"apc_paid":null,"fwci":0.8877,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77212849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"7846","last_page":"7852"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9258000254631042,"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/T11236","display_name":"Control Systems and Identification","score":0.9258000254631042,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.684105396270752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.587681770324707},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5233283042907715},{"id":"https://openalex.org/keywords/training","display_name":"Training (meteorology)","score":0.48206382989883423},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3395388722419739},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3365399241447449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26451343297958374},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10735714435577393},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07815709710121155}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.684105396270752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.587681770324707},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5233283042907715},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.48206382989883423},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3395388722419739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3365399241447449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26451343297958374},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10735714435577393},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07815709710121155},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886398","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","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":28,"referenced_works":["https://openalex.org/W1550918041","https://openalex.org/W2056241376","https://openalex.org/W2075341894","https://openalex.org/W2078626246","https://openalex.org/W3018252856","https://openalex.org/W3127516423","https://openalex.org/W3166923021","https://openalex.org/W4220681550","https://openalex.org/W4285139792","https://openalex.org/W4313482696","https://openalex.org/W4382935849","https://openalex.org/W4383824426","https://openalex.org/W4387870255","https://openalex.org/W4391020403","https://openalex.org/W4391164360","https://openalex.org/W4392904000","https://openalex.org/W4396527639","https://openalex.org/W4402705808","https://openalex.org/W6713348437","https://openalex.org/W6719853796","https://openalex.org/W6720643467","https://openalex.org/W6743971473","https://openalex.org/W6754297394","https://openalex.org/W6754840104","https://openalex.org/W6758902322","https://openalex.org/W6774266356","https://openalex.org/W6795140880","https://openalex.org/W6796193728"],"related_works":["https://openalex.org/W230091440","https://openalex.org/W2233261550","https://openalex.org/W2810751659","https://openalex.org/W258997015","https://openalex.org/W2997094352","https://openalex.org/W3216976533","https://openalex.org/W100620283","https://openalex.org/W2495260952","https://openalex.org/W4366179611","https://openalex.org/W2996078371"],"abstract_inverted_index":{"Motivated":[0],"by":[1,112,127],"the":[2,25,38,54,68,80,90,98,104,117,121,134],"growing":[3],"use":[4],"of":[5,70,79,93,97,100,116,120,130,133,136],"Artificial":[6],"intelligence":[7],"(AI)":[8],"tools":[9],"in":[10],"control":[11],"design,":[12],"this":[13],"paper":[14],"takes":[15],"steps":[16],"toward":[17],"bridging":[18],"results":[19,109],"from":[20],"Direct":[21],"Gradient":[22],"methods":[23],"for":[24],"Linear":[26,46],"Quadratic":[27],"Regulator":[28],"(LQR),":[29],"and":[30,73,95,126],"neural":[31],"networks.":[32],"More":[33],"specifically,":[34],"it":[35],"looks":[36],"into":[37],"case":[39],"where":[40],"one":[41],"wants":[42],"to":[43,66,88,141],"find":[44],"a":[45],"Feed-Forward":[47],"Neural":[48],"Network":[49],"(LFFNN)":[50],"feedback":[51],"that":[52,62],"minimizes":[53],"LQR":[55],"cost.":[56],"This":[57,82],"work":[58],"develops":[59],"gradient":[60,144],"formulas":[61],"can":[63],"be":[64],"used":[65],"implement":[67],"training":[69,105,135],"such":[71],"networks":[72,102],"derives":[74],"an":[75,113],"important":[76],"conservation":[77,83],"law":[78,84],"system.":[81],"is":[85],"then":[86],"leveraged":[87],"prove":[89],"global":[91],"convergence":[92,132],"solutions":[94],"invariance":[96],"set":[99],"stabilizing":[101],"under":[103],"dynamics.":[106],"These":[107],"theoretical":[108],"are":[110],"followed":[111],"extensive":[114],"analysis":[115],"simplest":[118],"version":[119],"problem":[122],"(the":[123],"\u201cscalar":[124],"case\u201d)":[125],"numerical":[128],"evidence":[129],"faster":[131],"general":[137],"LFFNNs":[138],"when":[139],"compared":[140],"traditional":[142],"direct":[143],"methods.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}