{"id":"https://openalex.org/W1997279157","doi":"https://doi.org/10.1109/cdc.2014.7039676","title":"Volume maximization of consistent parameter sets for linear fractional models","display_name":"Volume maximization of consistent parameter sets for linear fractional models","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1997279157","doi":"https://doi.org/10.1109/cdc.2014.7039676","mag":"1997279157"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039676","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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/A5063096526","display_name":"Masako Kishida","orcid":"https://orcid.org/0000-0001-7958-1001"},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Masako Kishida","raw_affiliation_strings":["University of Canterbury, Christchurch, New Zealand","University of Canterbury, Christchurch 8140, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"University of Canterbury, Christchurch 8140, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083684552","display_name":"Richard D. Braatz","orcid":"https://orcid.org/0000-0003-4304-3484"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard D. Braatz","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA","Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, 02139 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4685,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.95366133,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1905","last_page":"1910"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"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":0.9991999864578247,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.9970999956130981,"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/T11236","display_name":"Control Systems and Identification","score":0.9939000010490417,"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/ellipsoid","display_name":"Ellipsoid","score":0.69907146692276},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6793654561042786},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5216184854507446},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5215936899185181},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5067225098609924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4885064363479614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4880567789077759},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4672057032585144},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4659990072250366},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.44069281220436096},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43873775005340576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4362826347351074},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.42573392391204834},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4196602702140808},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41731229424476624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35815179347991943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14803868532180786}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.69907146692276},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6793654561042786},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5216184854507446},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5215936899185181},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5067225098609924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4885064363479614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4880567789077759},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4672057032585144},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4659990072250366},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.44069281220436096},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43873775005340576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4362826347351074},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.42573392391204834},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4196602702140808},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41731229424476624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35815179347991943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14803868532180786},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7039676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039676","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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":24,"referenced_works":["https://openalex.org/W54605999","https://openalex.org/W72025628","https://openalex.org/W623001696","https://openalex.org/W1563898868","https://openalex.org/W1595976887","https://openalex.org/W1973736256","https://openalex.org/W2002328174","https://openalex.org/W2002881050","https://openalex.org/W2005549029","https://openalex.org/W2008438089","https://openalex.org/W2015338640","https://openalex.org/W2052101373","https://openalex.org/W2055561145","https://openalex.org/W2067977069","https://openalex.org/W2109090100","https://openalex.org/W2123173024","https://openalex.org/W2147572442","https://openalex.org/W2162552591","https://openalex.org/W2342868321","https://openalex.org/W4234984831","https://openalex.org/W4285719527","https://openalex.org/W6602221640","https://openalex.org/W6602909458","https://openalex.org/W6704472503"],"related_works":["https://openalex.org/W2390718407","https://openalex.org/W2005485125","https://openalex.org/W2085363807","https://openalex.org/W2034124193","https://openalex.org/W2379017606","https://openalex.org/W2941765012","https://openalex.org/W2171970890","https://openalex.org/W2356423988","https://openalex.org/W2235431948","https://openalex.org/W2117054131"],"abstract_inverted_index":{"The":[0,50,111],"problem":[1,76],"of":[2,6,16,77],"determining":[3,78],"a":[4,11,46,79,93],"set":[5,40],"system":[7,13,42],"parameters":[8],"that":[9,74,101],"ensure":[10],"desired":[12,108],"output":[14],"is":[15,72,117],"great":[17],"interest":[18],"for":[19,41],"various":[20],"applications":[21],"such":[22],"as":[23,82,84,92],"in":[24,45,68],"model":[25],"validation/":[26],"invalidation":[27],"and":[28,62],"Quality-by-Design.":[29],"This":[30],"paper":[31],"presents":[32],"methods":[33,104],"to":[34,113],"construct":[35],"an":[36],"allowable":[37],"box":[38,81],"parameter":[39,80,109],"models":[43],"expressed":[44],"linear":[47],"fractional":[48],"form.":[49],"approaches":[51],"are":[52],"based":[53],"on":[54],"the":[55,75,102,107],"structured":[56],"singular":[57],"value,":[58],"\u03bc,":[59],"whose":[60],"upper":[61],"lower":[63],"bounds":[64],"can":[65,89],"be":[66,90],"computed":[67],"polynomial":[69],"time.":[70],"It":[71],"shown":[73],"well":[83],"its":[85],"center":[86],"and/or":[87],"shape":[88],"reformulated":[91],"constant-matrix":[94],"\u03bc-synthesis":[95],"problem.":[96],"A":[97],"numerical":[98],"example":[99],"shows":[100],"proposed":[103],"successfully":[105],"find":[106],"boxes.":[110],"extension":[112],"ellipsoidal":[114],"design":[115],"space":[116],"also":[118],"included.":[119]},"counts_by_year":[{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}