{"id":"https://openalex.org/W2111569777","doi":"https://doi.org/10.1109/cdc.2003.1272983","title":"Robust convex programs: randomized solutions and applications in control","display_name":"Robust convex programs: randomized solutions and applications in control","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W2111569777","doi":"https://doi.org/10.1109/cdc.2003.1272983","mag":"2111569777"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5041746196","display_name":"Giuseppe C. Calafiore","orcid":"https://orcid.org/0000-0002-6428-5653"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Calafiore","raw_affiliation_strings":["Dipt. di Autom. e Informatica, Politecnico di Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipt. di Autom. e Informatica, Politecnico di Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068752903","display_name":"Marco C. Campi","orcid":"https://orcid.org/0000-0002-5209-3312"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M.C. Campi","raw_affiliation_strings":[" University of Brescia"],"affiliations":[{"raw_affiliation_string":" University of Brescia","institution_ids":["https://openalex.org/I79940851"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.66,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":15,"citation_normalized_percentile":{"value":0.79144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Robust Optimization for Risk Management and Finance","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Robust Optimization for Risk Management and Finance","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Numerical Optimization Techniques","score":0.9984,"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/T10545","display_name":"Iterative Algorithms for Nonlinear Operators and Optimization","score":0.9982,"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/robust-optimization","display_name":"Robust Optimization","score":0.620244},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex Optimization","score":0.608806},{"id":"https://openalex.org/keywords/optimization","display_name":"Optimization","score":0.580073},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global Optimization","score":0.538327},{"id":"https://openalex.org/keywords/portfolio-optimization","display_name":"Portfolio Optimization","score":0.536247}],"concepts":[{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5618504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48934263},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48096552},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.44873977},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.44483796},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.339207},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.30447894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2627831},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1497095},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12993133},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W1525219222","https://openalex.org/W1867531623","https://openalex.org/W1973533265","https://openalex.org/W1987656566","https://openalex.org/W1994382933","https://openalex.org/W1995285162","https://openalex.org/W2020562832","https://openalex.org/W2038730444","https://openalex.org/W2048679451","https://openalex.org/W2051339054","https://openalex.org/W2069037813","https://openalex.org/W2084575717","https://openalex.org/W2089105401","https://openalex.org/W2099309131","https://openalex.org/W2100583475","https://openalex.org/W2102573976","https://openalex.org/W2103012681","https://openalex.org/W2109439079","https://openalex.org/W2110331379","https://openalex.org/W2112892237","https://openalex.org/W2117781171","https://openalex.org/W2117844706","https://openalex.org/W2147578396","https://openalex.org/W2154323472","https://openalex.org/W2170110056","https://openalex.org/W2172561887","https://openalex.org/W2173165070","https://openalex.org/W2174883827","https://openalex.org/W2180359187","https://openalex.org/W2562809365","https://openalex.org/W3210839039","https://openalex.org/W4233413206"],"related_works":["https://openalex.org/W4296154543","https://openalex.org/W4236098954","https://openalex.org/W3153752017","https://openalex.org/W2355865573","https://openalex.org/W2155981143","https://openalex.org/W2155245395","https://openalex.org/W2091897099","https://openalex.org/W2001785873","https://openalex.org/W1967782764","https://openalex.org/W1542318010"],"abstract_inverted_index":{"Many":[0],"engineering":[1],"problems":[2,8,30,211],"can":[3],"be":[4],"cast":[5],"as":[6,68,191],"optimization":[7],"subject":[9],"to":[10,76,137,160,189,201],"convex":[11],"constraints":[12,176],"that":[13,131,148,177],"are":[14,178],"parameterized":[15],"by":[16,93,109,181,213],"an":[17,103,162],"uncertainty":[18,113],"or":[19,70,106,171],"'instance'":[20],"term.":[21],"A":[22],"recently":[23],"emerged":[24],"successful":[25],"paradigm":[26,197],"for":[27,56],"attacking":[28],"these":[29],"is":[31,52,82,154,159,193,198],"robust":[32,50],"optimization,":[33],"where":[34],"one":[35],"seeks":[36],"a":[37,90,123,140,149,205],"solution":[38,81,135,203],"which":[39],"simultaneously":[40],"satisfies":[41],"all":[42],"possible":[43],"constraint":[44,120],"instances.":[45],"In":[46,98],"practice,":[47],"however,":[48],"the":[49,64,80,85,112,117,132,144,168,174,182,202],"approach":[51],"computationally":[53],"viable":[54],"only":[55,139],"problem":[57,88],"families":[58],"with":[59,122],"rather":[60],"simple":[61],"dependence":[62],"on":[63,167],"instance":[65],"parameter":[66],"(such":[67],"affine":[69],"polynomial),":[71],"and":[72,164],"leads":[73],"in":[74],"general":[75],"conservative":[77],"answers,":[78],"since":[79],"computed":[83],"transforming":[84],"original":[86,118,145,175],"semi-infinite":[87],"into":[89],"standard":[91],"one,":[92],"means":[94,214],"of":[95,126,143,152,173,204,208,215],"relaxation":[96],"techniques.":[97],"this":[99],"paper,":[100],"we":[101,115],"take":[102],"alternative":[104],"'randomized'":[105],"'scenario'":[107],"approach:":[108],"randomly":[110],"sampling":[111],"parameter,":[114],"substitute":[116],"infinite":[119],"set":[121,125],"finite":[124],"N":[127,192],"constraints.":[128],"We":[129],"show":[130],"resulting":[133],"randomized":[134,183],"fails":[136],"satisfy":[138],"small":[141],"portion":[142],"constraints,":[146],"provided":[147],"sufficient":[150],"number":[151],"samples":[153],"drawn.":[155],"Our":[156],"key":[157],"result":[158],"provide":[161],"efficient":[163],"explicit":[165],"bound":[166],"measure":[169],"(probability":[170],"volume)":[172],"possibly":[179],"violated":[180],"solution.":[184],"This":[185],"volume":[186],"rapidly":[187],"decreases":[188],"zero":[190],"increased.":[194],"The":[195],"proposed":[196],"here":[199],"applied":[200],"wide":[206],"class":[207],"NP-hard":[209],"control":[210],"presentable":[212],"parameter-dependent":[216],"linear":[217],"matrix":[218],"inequalities.":[219]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2111569777","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2024-09-25T08:17:29.223679","created_date":"2016-06-24"}