{"id":"https://openalex.org/W2735788552","doi":"https://doi.org/10.23919/acc.2017.7963466","title":"On the convexity of optimal decentralized control problem and sparsity path","display_name":"On the convexity of optimal decentralized control problem and sparsity path","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2735788552","doi":"https://doi.org/10.23919/acc.2017.7963466","mag":"2735788552"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7963466","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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/A5061966752","display_name":"Salar Fattahi","orcid":"https://orcid.org/0000-0001-7986-3148"},"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":"Salar Fattahi","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042580848","display_name":"Javad Lavaei","orcid":null},"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":"Javad Lavaei","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3359","last_page":"3366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.98089998960495,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6244974732398987},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6238057613372803},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.553722083568573},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5140141248703003},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4986104965209961},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4962490200996399},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4862738847732544},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47333699464797974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47301793098449707},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.45903778076171875},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.45785391330718994},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4557797610759735},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.43414804339408875},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4306173026561737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39229342341423035},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3511689603328705},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21316468715667725},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.10806542634963989},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10247290134429932}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6244974732398987},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6238057613372803},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.553722083568573},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5140141248703003},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4986104965209961},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4962490200996399},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4862738847732544},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47333699464797974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47301793098449707},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.45903778076171875},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.45785391330718994},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4557797610759735},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.43414804339408875},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4306173026561737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39229342341423035},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3511689603328705},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21316468715667725},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.10806542634963989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10247290134429932},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2017.7963466","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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":41,"referenced_works":["https://openalex.org/W1506560730","https://openalex.org/W1932883063","https://openalex.org/W1968950160","https://openalex.org/W1969729070","https://openalex.org/W1980183459","https://openalex.org/W2015089195","https://openalex.org/W2025621761","https://openalex.org/W2029646873","https://openalex.org/W2063841006","https://openalex.org/W2069525910","https://openalex.org/W2076199517","https://openalex.org/W2080362883","https://openalex.org/W2083100168","https://openalex.org/W2093875902","https://openalex.org/W2108130008","https://openalex.org/W2121419308","https://openalex.org/W2122700623","https://openalex.org/W2135519533","https://openalex.org/W2136598296","https://openalex.org/W2141380252","https://openalex.org/W2146031909","https://openalex.org/W2154956811","https://openalex.org/W2158983145","https://openalex.org/W2159857480","https://openalex.org/W2165894964","https://openalex.org/W2166778103","https://openalex.org/W2169488608","https://openalex.org/W2291269933","https://openalex.org/W2296319761","https://openalex.org/W2505443575","https://openalex.org/W2735788552","https://openalex.org/W2749348574","https://openalex.org/W2912522929","https://openalex.org/W2963578945","https://openalex.org/W2964326866","https://openalex.org/W3102961917","https://openalex.org/W3142300713","https://openalex.org/W4231969292","https://openalex.org/W4233478836","https://openalex.org/W4250589301","https://openalex.org/W6657043815"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W4206221578","https://openalex.org/W3029572990","https://openalex.org/W2082509025"],"abstract_inverted_index":{"This":[0,33],"paper":[1,140],"is":[2,20,35,57,63,85,108,126,141,165],"concerned":[3],"with":[4,75,133,161],"an":[5,81,157],"important":[6],"special":[7],"case":[8],"of":[9,71,95],"the":[10,18,48,53,61,69,93,105,114,146],"stochastic":[11,31],"optimal":[12],"decentralized":[13,73,131],"control":[14,106],"(SODC)":[15],"problem,":[16],"where":[17,104],"objective":[19,115],"to":[21,39,80,128,151],"design":[22,70,129],"a":[23,29,72,76,87,97,101,130,162,167],"static":[24],"structurally":[25],"constrained":[26],"controller":[27,74,99,132,160],"for":[28],"stable":[30,144],"system.":[32],"problem":[34,62,94],"non-convex":[36],"and":[37],"hard":[38],"solve":[40],"in":[41,113],"general.":[42],"We":[43,90],"show":[44],"that":[45,123],"if":[46],"either":[47],"measurement":[49],"noise":[50],"covariance":[51],"or":[52],"input":[54],"weighting":[55],"matrix":[56],"not":[58,109],"too":[59],"small,":[60],"locally":[64],"convex.":[65],"Under":[66,117],"such":[67],"circumstances,":[68],"bounded":[77],"norm":[78],"subject":[79],"arbitrary":[82,135],"sparsity":[83,136],"pattern":[84],"naturally":[86],"convex":[88],"problem.":[89],"also":[91],"study":[92],"designing":[96],"sparse":[98],"using":[100],"regularization":[102],"technique,":[103],"structure":[107,164],"pre-specified":[110],"but":[111],"penalized":[112],"function.":[116],"some":[118],"genericity":[119],"assumptions,":[120],"we":[121],"prove":[122],"this":[124,139],"method":[125],"able":[127],"any":[134],"level.":[137],"Although":[138],"focused":[142],"on":[143],"systems,":[145],"results":[147],"can":[148],"be":[149],"generalized":[150],"unstable":[152],"systems":[153],"as":[154,156],"long":[155],"initial":[158],"stabilizing":[159],"desirable":[163],"known":[166],"priori.":[168]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
