{"id":"https://openalex.org/W3011494824","doi":"https://doi.org/10.1109/cdc40024.2019.9029974","title":"Parallelizing LQR Computation Through Endpoint-Explicit Riccati Recursion","display_name":"Parallelizing LQR Computation Through Endpoint-Explicit Riccati Recursion","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011494824","doi":"https://doi.org/10.1109/cdc40024.2019.9029974","mag":"3011494824"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029974","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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/A5061876552","display_name":"Forrest Laine","orcid":"https://orcid.org/0000-0003-3982-3920"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Forrest Laine","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire Tomlin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061876552"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.8316,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75213999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1395","last_page":"1402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9940000176429749,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9843999743461609,"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/recursion","display_name":"Recursion (computer science)","score":0.8849489688873291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7957117557525635},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7488512396812439},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6398006677627563},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5624278783798218},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.5540751218795776},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5027885437011719},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.47567644715309143},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45212554931640625},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.44633564352989197},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4396286904811859},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.4254840016365051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4036206007003784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26535069942474365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12761300802230835},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08120816946029663},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07763621211051941}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8849489688873291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7957117557525635},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7488512396812439},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6398006677627563},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5624278783798218},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.5540751218795776},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5027885437011719},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.47567644715309143},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45212554931640625},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.44633564352989197},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4396286904811859},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.4254840016365051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4036206007003784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26535069942474365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12761300802230835},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08120816946029663},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07763621211051941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029974","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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":31,"referenced_works":["https://openalex.org/W146335348","https://openalex.org/W241118364","https://openalex.org/W1963732000","https://openalex.org/W1965640670","https://openalex.org/W1983486886","https://openalex.org/W1988425770","https://openalex.org/W2006794835","https://openalex.org/W2014636557","https://openalex.org/W2033766202","https://openalex.org/W2046189742","https://openalex.org/W2104318722","https://openalex.org/W2116773335","https://openalex.org/W2132084488","https://openalex.org/W2141243751","https://openalex.org/W2158058858","https://openalex.org/W2290668970","https://openalex.org/W2762555062","https://openalex.org/W2770036968","https://openalex.org/W2900794160","https://openalex.org/W2963801017","https://openalex.org/W2967560250","https://openalex.org/W3035578948","https://openalex.org/W3103075896","https://openalex.org/W4231150350","https://openalex.org/W4242209908","https://openalex.org/W4250589301","https://openalex.org/W4293775970","https://openalex.org/W6606021725","https://openalex.org/W6647710255","https://openalex.org/W6745854397","https://openalex.org/W6780383567"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2726381554","https://openalex.org/W2002357820","https://openalex.org/W2334216590","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2244442793"],"abstract_inverted_index":{"A":[0],"method":[1,58,75,105],"is":[2,43],"presented":[3,76],"for":[4,59],"parallelizing":[5,60],"the":[6,30,41,61,72,74,94,114,124],"computation":[7,62],"of":[8,32,63,71,96,118,126],"solutions":[9,64,86],"to":[10,23,87],"discrete-time,":[11],"linear":[12],"dynamic,":[13],"quadratic":[14],"objective,":[15],"finite-horizon":[16],"optimal":[17,89],"control":[18,79,90,95],"problems,":[19],"which":[20],"we":[21,54],"refer":[22],"as":[24],"LQR":[25],"problems.":[26],"For":[27],"many":[28],"applications,":[29],"size":[31],"these":[33],"problems":[34,91],"can":[35],"be":[36],"large":[37],"enough":[38],"that":[39,81],"computing":[40,85],"solution":[42],"prohibitively":[44],"slow":[45],"when":[46,84],"using":[47],"a":[48,56,69],"single":[49],"processor.":[50],"In":[51],"this":[52,104,119],"work,":[53],"present":[55],"novel":[57],"across":[65],"multiple":[66],"processors.":[67],"As":[68],"byproduct":[70],"computation,":[73],"generates":[77],"feedback":[78,100],"policies":[80,101],"are":[82,121],"useful":[83],"nonlinear":[88],"and":[92,113,116],"in":[93,110],"autonomous":[97],"systems.":[98],"The":[99],"generated":[102,109],"by":[103],"differ":[106],"from":[107],"those":[108],"existing":[111],"methods,":[112],"implications":[115],"benefits":[117],"difference":[120],"discussed":[122],"through":[123],"use":[125],"an":[127],"example.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}