{"id":"https://openalex.org/W4396597359","doi":"https://doi.org/10.1109/lcsys.2024.3396294","title":"Tractable Approximations of LMI Robust Feasibility Sets","display_name":"Tractable Approximations of LMI Robust Feasibility Sets","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4396597359","doi":"https://doi.org/10.1109/lcsys.2024.3396294"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3396294","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3396294","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-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/A5014219486","display_name":"Teodoro \u00c1lamo","orcid":"https://orcid.org/0000-0002-0623-8146"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Teodoro Alamo","raw_affiliation_strings":["Departamento de Ingenier&#x00ED;a de Sistemas y Autom&#x00E1;tica, Universidad de Sevilla, Escuela Superior de Ingenieros, Sevilla, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0623-8146","affiliations":[{"raw_affiliation_string":"Departamento de Ingenier&#x00ED;a de Sistemas y Autom&#x00E1;tica, Universidad de Sevilla, Escuela Superior de Ingenieros, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074318162","display_name":"Martina Mammarella","orcid":"https://orcid.org/0000-0003-3421-7614"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Martina Mammarella","raw_affiliation_strings":["CNR-IEIIT, c/o Politecnico di Torino, Turin, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3421-7614","affiliations":[{"raw_affiliation_string":"CNR-IEIIT, c/o Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210100607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078379817","display_name":"Fabrizio Dabbene","orcid":"https://orcid.org/0000-0002-2258-8971"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabrizio Dabbene","raw_affiliation_strings":["CNR-IEIIT, c/o Politecnico di Torino, Turin, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2258-8971","affiliations":[{"raw_affiliation_string":"CNR-IEIIT, c/o Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210100607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074266892","display_name":"Mario Sznaier","orcid":"https://orcid.org/0000-0003-4439-3988"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario Sznaier","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4439-3988","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05662363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"472","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.7379000186920166,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.7379000186920166,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.6916999816894531,"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/T12176","display_name":"Optimization and Packing Problems","score":0.6714000105857849,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.47468969225883484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45472824573516846},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4372738301753998},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42524880170822144},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4175068736076355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3364928662776947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2276006042957306},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0703234076499939}],"concepts":[{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.47468969225883484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45472824573516846},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4372738301753998},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42524880170822144},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4175068736076355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3364928662776947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2276006042957306},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0703234076499939}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3396294","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2024.3396294","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1973533265","https://openalex.org/W1987486506","https://openalex.org/W2019016008","https://openalex.org/W2026578200","https://openalex.org/W2061173295","https://openalex.org/W2114778194","https://openalex.org/W2139807505","https://openalex.org/W2140214428","https://openalex.org/W2565789593","https://openalex.org/W3114430747","https://openalex.org/W3210839039","https://openalex.org/W4206808143","https://openalex.org/W4384928715"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3],"introduce":[4],"novel":[5],"tractable":[6],"approximations":[7],"for":[8],"robust":[9,34],"Linear":[10],"Matrix":[11,19],"Inequality":[12],"(LMI)":[13],"problems.":[14],"We":[15],"present":[16],"various":[17],"Quadratic":[18],"Inequalities":[20],"(QMIs)":[21],"that":[22],"enable":[23],"us":[24],"to":[25],"characterize":[26],"the":[27,33,51,62,65],"effect":[28],"of":[29,42,45,53,64],"ellipsoidal":[30],"uncertainty":[31],"in":[32,40],"problem.":[35],"These":[36],"formulations":[37],"are":[38],"expressed":[39],"terms":[41],"a":[43,54],"set":[44],"auxiliary":[46],"decision":[47],"variables,":[48],"which":[49],"facilitate":[50],"derivation":[52],"generalized":[55],"S-procedure":[56],"result.":[57],"This":[58],"generalization":[59],"significantly":[60],"reduces":[61],"conservatism":[63],"obtained":[66],"results,":[67],"compared":[68],"with":[69],"conventional":[70],"approaches.":[71]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
