{"id":"https://openalex.org/W4294692180","doi":"https://doi.org/10.23919/acc53348.2022.9867384","title":"Optimization Landscape of Gradient Descent for Discrete-time Static Output Feedback","display_name":"Optimization Landscape of Gradient Descent for Discrete-time Static Output Feedback","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W4294692180","doi":"https://doi.org/10.23919/acc53348.2022.9867384"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867384","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867384","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","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/A5067909017","display_name":"Jingliang Duan","orcid":"https://orcid.org/0000-0002-3697-1576"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Jingliang Duan","raw_affiliation_strings":["National University of Singapore,Department of Electrical and Computer Engineering,Singapore","Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore,Department of Electrical and Computer Engineering,Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104087833","display_name":"Jie Li","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":false,"raw_author_name":"Jie Li","raw_affiliation_strings":["Tsinghua University,School of Vehicle and Mobility,Beijing,China,100084"],"affiliations":[{"raw_affiliation_string":"Tsinghua University,School of Vehicle and Mobility,Beijing,China,100084","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100747108","display_name":"Shengbo Eben Li","orcid":"https://orcid.org/0000-0003-4923-3633"},"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":false,"raw_author_name":"Shengbo Eben Li","raw_affiliation_strings":["Tsinghua University,School of Vehicle and Mobility,Beijing,China,100084"],"affiliations":[{"raw_affiliation_string":"Tsinghua University,School of Vehicle and Mobility,Beijing,China,100084","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064240573","display_name":"Lin Zhao","orcid":"https://orcid.org/0000-0002-1078-887X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lin Zhao","raw_affiliation_strings":["National University of Singapore,Department of Electrical and Computer Engineering,Singapore","Department of Electrical and Computer Engineering, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore,Department of Electrical and Computer Engineering,Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067909017"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":3.1852,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.94256825,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2932","last_page":"2937"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.996399998664856,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.996399998664856,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9955000281333923,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9929999709129333,"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/gradient-descent","display_name":"Gradient descent","score":0.6531580090522766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5910892486572266},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.5179459452629089},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5173725485801697},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5050728917121887},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.49988818168640137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3250423073768616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2344554364681244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1483321487903595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12530428171157837},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10858878493309021},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10036581754684448},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.08528229594230652},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.0670730471611023}],"concepts":[{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6531580090522766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5910892486572266},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.5179459452629089},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5173725485801697},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5050728917121887},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.49988818168640137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3250423073768616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2344554364681244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1483321487903595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12530428171157837},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10858878493309021},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10036581754684448},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.08528229594230652},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0670730471611023}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc53348.2022.9867384","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867384","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321408","display_name":"Ministry of Education","ror":"https://ror.org/01p262204"},{"id":"https://openalex.org/F4320326925","display_name":"State Key Laboratory of Automotive Safety and Energy","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W181733065","https://openalex.org/W1771410628","https://openalex.org/W2075114996","https://openalex.org/W2145339207","https://openalex.org/W2149479912","https://openalex.org/W2161367843","https://openalex.org/W2257979135","https://openalex.org/W2546420264","https://openalex.org/W2592651140","https://openalex.org/W2736601468","https://openalex.org/W2781726626","https://openalex.org/W2886474253","https://openalex.org/W2903410452","https://openalex.org/W2938668169","https://openalex.org/W2963774238","https://openalex.org/W2963864421","https://openalex.org/W2982428006","https://openalex.org/W2995134936","https://openalex.org/W3002044607","https://openalex.org/W3011908139","https://openalex.org/W3015082424","https://openalex.org/W3087319130","https://openalex.org/W3109124629","https://openalex.org/W3174557629","https://openalex.org/W3176263050","https://openalex.org/W3185181536","https://openalex.org/W3203485495","https://openalex.org/W3206480318","https://openalex.org/W4294692180","https://openalex.org/W4320473289","https://openalex.org/W6638018090","https://openalex.org/W6684921986","https://openalex.org/W6734280532","https://openalex.org/W6741002519","https://openalex.org/W6747473740","https://openalex.org/W6754297394","https://openalex.org/W6761170661","https://openalex.org/W6763002318","https://openalex.org/W6766686101","https://openalex.org/W6769892598","https://openalex.org/W6772183843","https://openalex.org/W6791005554","https://openalex.org/W6797736639","https://openalex.org/W6801613731"],"related_works":["https://openalex.org/W2486267010","https://openalex.org/W4298096494","https://openalex.org/W1678820847","https://openalex.org/W2559216629","https://openalex.org/W1553684505","https://openalex.org/W2015288657","https://openalex.org/W2378126235","https://openalex.org/W23127201","https://openalex.org/W2787290148","https://openalex.org/W1996334574"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,87],"analyze":[4],"the":[5,42,52,71,103,115,122,130],"optimization":[6],"landscape":[7],"of":[8,18,51,117,132],"gradient":[9,72,94,118,135],"descent":[10,73,95,119],"methods":[11,136],"for":[12,33],"static":[13],"output":[14],"feedback":[15],"(SOF)":[16],"control":[17],"discrete-time":[19],"linear":[20],"time-invariant":[21],"systems":[22],"with":[23],"quadratic":[24],"cost.":[25],"The":[26],"SOF":[27,53,123],"setting":[28],"can":[29],"be":[30],"quite":[31],"common,":[32],"example,":[34],"when":[35],"there":[36],"are":[37],"unmodeled":[38],"hidden":[39],"states":[40],"in":[41,120,137],"underlying":[43],"process.":[44],"We":[45,63],"first":[46],"establish":[47],"several":[48],"important":[49],"properties":[50,67],"cost":[54],"function,":[55],"including":[56],"coercivity,":[57],"L-smoothness,":[58],"and":[59],"M-Lipschitz":[60],"continuous":[61],"Hessian.":[62],"then":[64],"utilize":[65],"these":[66],"to":[68,76,78,98,108],"show":[69],"that":[70,89],"is":[74,106],"able":[75],"converge":[77],"a":[79,83,99],"stationary":[80],"point":[81,105],"at":[82],"dimension-free":[84],"rate.":[85],"Furthermore,":[86],"prove":[88],"under":[90],"some":[91],"mild":[92],"conditions,":[93],"converges":[96],"linearly":[97],"local":[100],"minimum":[101],"if":[102],"starting":[104],"close":[107],"one.":[109],"These":[110],"results":[111],"not":[112],"only":[113],"characterize":[114],"performance":[116],"optimizing":[121],"problem,":[124],"but":[125],"also":[126],"shed":[127],"light":[128],"on":[129],"efficiency":[131],"general":[133],"policy":[134],"reinforcement":[138],"learning.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-09-06T00:00:00"}
