{"id":"https://openalex.org/W2110131092","doi":"https://doi.org/10.1109/cdc.2010.5717487","title":"On the dual decomposition of linear quadratic optimal control problems for vehicular formations","display_name":"On the dual decomposition of linear quadratic optimal control problems for vehicular formations","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2110131092","doi":"https://doi.org/10.1109/cdc.2010.5717487","mag":"2110131092"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE 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/A5057639149","display_name":"Makan Fardad","orcid":"https://orcid.org/0000-0003-4643-0535"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Makan Fardad","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Syracuse University, NY, USA","Dept. of Electrical Engineering and Computer Science, Syracuse University, NY 13244, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Syracuse University, NY, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Dept. of Electrical Engineering and Computer Science, Syracuse University, NY 13244, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101776210","display_name":"Lin Fu","orcid":"https://orcid.org/0000-0002-4068-9020"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fu Lin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis,55455, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis,55455, USA,","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087790067","display_name":"Mihailo R. Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4181-2924"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihailo R. Jovanovic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis,55455, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis,55455, USA,","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":null,"first_page":"6287","last_page":"6292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10524","display_name":"Traffic control and management","score":0.993399977684021,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9704999923706055,"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/subgradient-method","display_name":"Subgradient method","score":0.8393046855926514},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6699068546295166},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6425982713699341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6319113373756409},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6279835104942322},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.5382876396179199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5361672639846802},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.532871425151825},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5278377532958984},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5081899166107178},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5066977143287659},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.481315016746521},{"id":"https://openalex.org/keywords/state-variable","display_name":"State variable","score":0.4383693337440491},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.4216476380825043},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3683837652206421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3086090683937073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07280588150024414}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8393046855926514},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6699068546295166},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6425982713699341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6319113373756409},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6279835104942322},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.5382876396179199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5361672639846802},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.532871425151825},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5278377532958984},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5081899166107178},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5066977143287659},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.481315016746521},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.4383693337440491},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.4216476380825043},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3683837652206421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3086090683937073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07280588150024414},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5717487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.700.1339","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.700.1339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mcs.anl.gov/%7Efulin/papers/CDC10_dual_decomposition.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1603765807","https://openalex.org/W1989076115","https://openalex.org/W2099901267","https://openalex.org/W2103979068","https://openalex.org/W2105532855","https://openalex.org/W2111836897","https://openalex.org/W2118285725","https://openalex.org/W2135519533","https://openalex.org/W2136598296","https://openalex.org/W2143776086","https://openalex.org/W2146305490","https://openalex.org/W2154956811","https://openalex.org/W2158983145","https://openalex.org/W2160193545","https://openalex.org/W2163206101","https://openalex.org/W2165894964","https://openalex.org/W2166778103","https://openalex.org/W2168209480","https://openalex.org/W2169488608","https://openalex.org/W2266946488","https://openalex.org/W2798766386","https://openalex.org/W4231664753","https://openalex.org/W4291236916","https://openalex.org/W6636083699","https://openalex.org/W6750230808"],"related_works":["https://openalex.org/W2172263749","https://openalex.org/W2036724572","https://openalex.org/W4394866503","https://openalex.org/W2172478086","https://openalex.org/W2136599217","https://openalex.org/W4281252219","https://openalex.org/W2581872955","https://openalex.org/W1974638344","https://openalex.org/W2005996332","https://openalex.org/W1976025103"],"abstract_inverted_index":{"We":[0,82,107],"use":[1],"the":[2,8,14,28,37,67,71,75,79,91,98,103,125,136,147],"dual":[3,9,47,76],"decomposition":[4],"method":[5],"along":[6],"with":[7,52],"subgradient":[10],"algorithm":[11,110,127],"to":[12,65,101,145],"decouple":[13],"linear":[15],"quadratic":[16],"optimal":[17,29,104],"control":[18,30],"problem":[19,100],"for":[20],"a":[21,33,85,119,132],"system":[22],"of":[23,70,78,124,135,149],"single-integrator":[24],"vehicles.":[25],"This":[26],"produces":[27],"law":[31],"in":[32,36,118],"localized":[34,120],"manner,":[35],"sense":[38],"that":[39,60],"vehicles":[40,112],"can":[41,113],"iteratively":[42],"compute":[43,114],"their":[44,53],"primal":[45,68],"and":[46,74,93,96,140],"variables":[48],"by":[49,130],"only":[50,63],"communicating":[51],"immediate":[54],"neighbors.":[55],"In":[56],"particular,":[57],"we":[58],"demonstrate":[59,146],"each":[61],"vehicle":[62,72,80],"needs":[64],"receive":[66],"variable":[69,77],"ahead":[73],"behind.":[81],"then":[83],"assume":[84],"structured":[86,115],"feedback":[87,105,116],"gain":[88],"relationship":[89],"between":[90],"state":[92],"actuation":[94],"signals,":[95],"reformulate":[97],"optimization":[99],"find":[102],"gains.":[106],"develop":[108],"an":[109],"whereby":[111],"gains":[117],"manner.":[121],"Convergence":[122],"properties":[123],"latter":[126],"are":[128,143],"improved":[129],"employing":[131],"relaxed":[133],"version":[134],"augmented":[137],"Lagrangian":[138],"method,":[139],"numerical":[141],"examples":[142],"provided":[144],"utility":[148],"our":[150],"results.":[151]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}