{"id":"https://openalex.org/W1530045220","doi":"https://doi.org/10.23919/ecc.2001.7076096","title":"New algorithms for upper and lower bounds on the mixed/real structured singular value","display_name":"New algorithms for upper and lower bounds on the mixed/real structured singular value","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1530045220","doi":"https://doi.org/10.23919/ecc.2001.7076096","mag":"1530045220"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7076096","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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/A5023970745","display_name":"M. Hayes","orcid":"https://orcid.org/0000-0001-6821-5436"},"institutions":[{"id":"https://openalex.org/I230495080","display_name":"University of Limerick","ror":"https://ror.org/00a0n9e72","country_code":"IE","type":"education","lineage":["https://openalex.org/I230495080"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"M. J. Hayes","raw_affiliation_strings":["Department of Electronic and Computer Engineering, University of Limerick, Republic of Ireland"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, University of Limerick, Republic of Ireland","institution_ids":["https://openalex.org/I230495080"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077819322","display_name":"Declan G. Bates","orcid":"https://orcid.org/0000-0003-1395-9846"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. G. Bates","raw_affiliation_strings":["Control &amp; Instrumentation Research Group, Engineering Department, University of Leicester, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Control &amp; Instrumentation Research Group, Engineering Department, University of Leicester, United Kingdom","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012670033","display_name":"A.M. Holohan","orcid":null},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"A. M. Holohan","raw_affiliation_strings":["School of Electronic Engineering, Dublin City University, Republic of Ireland"],"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Dublin City University, Republic of Ireland","institution_ids":["https://openalex.org/I42934936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023970745"],"corresponding_institution_ids":["https://openalex.org/I230495080"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07830126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1295","last_page":"1302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T11236","display_name":"Control Systems and Identification","score":0.9937000274658203,"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":0.9905999898910522,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7392728328704834},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6229327321052551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5531962513923645},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5521121621131897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5285362601280212},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5254492163658142},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5231284499168396},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4674575924873352},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41585785150527954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36549293994903564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08901721239089966},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07331579923629761}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7392728328704834},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6229327321052551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5531962513923645},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5521121621131897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5285362601280212},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5254492163658142},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5231284499168396},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4674575924873352},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41585785150527954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36549293994903564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08901721239089966},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07331579923629761},{"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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2001.7076096","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7076096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","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":11,"referenced_works":["https://openalex.org/W95541358","https://openalex.org/W391366774","https://openalex.org/W1041597513","https://openalex.org/W1898253602","https://openalex.org/W2056477191","https://openalex.org/W2094226744","https://openalex.org/W2103313140","https://openalex.org/W2123173024","https://openalex.org/W2134629975","https://openalex.org/W2147572442","https://openalex.org/W2342868321"],"related_works":["https://openalex.org/W2141080975","https://openalex.org/W2038812594","https://openalex.org/W1996057986","https://openalex.org/W3148709143","https://openalex.org/W2740187182","https://openalex.org/W771802720","https://openalex.org/W2802142240","https://openalex.org/W2163229019","https://openalex.org/W2809261443","https://openalex.org/W2089851716"],"abstract_inverted_index":{"New":[0],"algorithms":[1,100],"are":[2,101],"presented":[3],"for":[4,19,44,84,108,119],"the":[5,14,35,82],"computation":[6],"of":[7,34,65],"good":[8],"upper":[9,47,70],"and":[10,55],"lower":[11,78],"bounds":[12],"on":[13,49,72,111],"structured":[15],"singular":[16],"value":[17],"\u03bc,":[18,50],"high":[20],"order":[21],"plants":[22],"subject":[23],"to":[24,40,67],"purely":[25],"real":[26,87],"or":[27],"mixed":[28],"real/complex":[29],"uncertainty.":[30],"A":[31,63],"geometric":[32],"form":[33],"Hahn-Banach":[36],"theorem":[37],"is":[38,74],"used":[39],"develop":[41],"an":[42,46,120],"algorithm":[43,80],"computing":[45,109],"bound":[48,71,79],"involving":[51],"a":[52,56,68,85,93,112],"linear":[53],"program":[54],"symmetric":[57],"eigenvalue":[58],"problem":[59,118],"at":[60],"each":[61],"iteration.":[62],"proof":[64],"convergence":[66],"convex":[69],"\u03bc":[73,110],"presented.":[75],"The":[76,98],"new":[77,99],"formulates":[81],"search":[83],"worst-case":[86],"(or":[88],"mixed)":[89],"destabilising":[90],"perturbation":[91],"as":[92],"constrained":[94],"non-linear":[95],"optimisation":[96],"problem.":[97],"compared":[102],"with":[103],"currently":[104],"available":[105],"software":[106],"tools":[107],"large":[113],"scale":[114],"stability":[115],"robustness":[116],"analysis":[117],"experimental":[121],"V/STOL":[122],"aircraft":[123],"configuration.":[124]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
