{"id":"https://openalex.org/W3045699722","doi":"https://doi.org/10.23919/acc45564.2020.9147853","title":"LQR via First Order Flows","display_name":"LQR via First Order Flows","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3045699722","doi":"https://doi.org/10.23919/acc45564.2020.9147853","mag":"3045699722"},"language":"en","primary_location":{"id":"doi:10.23919/acc45564.2020.9147853","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147853","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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/A5101906729","display_name":"Jingjing Bu","orcid":"https://orcid.org/0000-0002-0098-5212"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jingjing Bu","raw_affiliation_strings":["University of Washington, Seattle, WA, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington, Seattle, WA, U.S.A","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073825517","display_name":"Afshin Mesbahi","orcid":"https://orcid.org/0000-0002-6590-5500"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Afshin Mesbahi","raw_affiliation_strings":["University of Washington, Seattle, WA, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington, Seattle, WA, U.S.A","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040511603","display_name":"Mehran Mesbahi","orcid":"https://orcid.org/0000-0001-6972-6588"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehran Mesbahi","raw_affiliation_strings":["University of Washington, Seattle, WA, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington, Seattle, WA, U.S.A","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I201448701"],"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":null,"issue":null,"first_page":"4683","last_page":"4688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9661999940872192,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9661999940872192,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9351999759674072,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9330999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6654012203216553},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6524994373321533},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.6337600946426392},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5596226453781128},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5486125349998474},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5312955975532532},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5084589719772339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5082423090934753},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.47185397148132324},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.45531970262527466},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41864633560180664},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.388651579618454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34117060899734497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2900497317314148},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.17903771996498108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07309868931770325},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06356149911880493}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6654012203216553},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6524994373321533},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.6337600946426392},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5596226453781128},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5486125349998474},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5312955975532532},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5084589719772339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5082423090934753},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.47185397148132324},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.45531970262527466},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41864633560180664},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.388651579618454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34117060899734497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2900497317314148},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.17903771996498108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07309868931770325},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06356149911880493},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc45564.2020.9147853","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147853","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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":33,"referenced_works":["https://openalex.org/W177930832","https://openalex.org/W181733065","https://openalex.org/W1616818660","https://openalex.org/W1804910891","https://openalex.org/W1839001692","https://openalex.org/W1969496346","https://openalex.org/W1981042292","https://openalex.org/W1992208280","https://openalex.org/W2002357820","https://openalex.org/W2011866373","https://openalex.org/W2027851267","https://openalex.org/W2064404969","https://openalex.org/W2069594978","https://openalex.org/W2075341894","https://openalex.org/W2087063454","https://openalex.org/W2098432798","https://openalex.org/W2115832833","https://openalex.org/W2148439597","https://openalex.org/W2149811200","https://openalex.org/W2152161277","https://openalex.org/W2165726932","https://openalex.org/W2886474253","https://openalex.org/W2903410452","https://openalex.org/W2938668169","https://openalex.org/W2963774238","https://openalex.org/W3035578948","https://openalex.org/W4229706427","https://openalex.org/W4388319978","https://openalex.org/W6754297394","https://openalex.org/W6756667103","https://openalex.org/W6761170661","https://openalex.org/W6766686101","https://openalex.org/W6780383567"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W2151791215","https://openalex.org/W2005786916","https://openalex.org/W2379495416","https://openalex.org/W2002349705","https://openalex.org/W1996632312","https://openalex.org/W2047053200","https://openalex.org/W4376122655","https://openalex.org/W2315387649"],"abstract_inverted_index":{"We":[0,40,58],"consider":[1],"the":[2,15,25,53,74,93,105,110,119],"Linear-Quadratic-Regulator":[3],"(LQR)":[4],"problem":[5],"in":[6,35,52,118],"terms":[7],"of":[8,17,27,33,55,63,112,121],"optimizing":[9],"a":[10,21,28],"real-valued":[11],"matrix":[12],"function":[13],"over":[14],"set":[16],"feedback":[18],"gains.":[19],"Such":[20],"setup":[22],"facilitates":[23],"examining":[24],"implications":[26],"natural":[29,70],"initial-state":[30],"independent":[31],"formulation":[32],"LQR":[34],"designing":[36],"first":[37],"order":[38],"algorithms.":[39,57],"characterize":[41],"several":[42],"analytical":[43],"properties":[44],"(smoothness,":[45],"coerciveness,":[46],"quadratic":[47,102],"growth)":[48],"that":[49,81,92,109],"are":[50,115],"crucial":[51],"analysis":[54],"gradient-based":[56],"then":[59],"examine":[60],"three":[61],"types":[62],"well-posed":[64],"flows":[65,83,114],"for":[66],"LQR:":[67],"gradient":[68,71,88],"flow,":[69],"flow":[72],"and":[73],"quasi-Newton":[75],"flow.":[76],"The":[77],"coercive":[78],"property":[79,90],"suggests":[80],"these":[82,113],"admit":[84],"unique":[85],"solutions":[86],"while":[87],"dominated":[89],"indicates":[91],"corresponding":[94],"Lyapunov":[95],"functionals":[96],"decay":[97],"at":[98],"an":[99],"exponential":[100],"rate;":[101],"growth":[103],"on":[104],"other":[106],"hand":[107],"guarantees":[108],"trajectories":[111],"exponentially":[116],"stable":[117],"sense":[120],"Lyapunov.":[122]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
