{"id":"https://openalex.org/W4415179768","doi":"https://doi.org/10.23919/ecc65951.2025.11186877","title":"Minimum-Radius Criterion for a Zonotopic State Estimator based on Degrees of Freedom<sup>*</sup>","display_name":"Minimum-Radius Criterion for a Zonotopic State Estimator based on Degrees of Freedom<sup>*</sup>","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415179768","doi":"https://doi.org/10.23919/ecc65951.2025.11186877"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11186877","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11186877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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/A5000019978","display_name":"Alesi Augusto de Paula","orcid":"https://orcid.org/0000-0002-8043-1956"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Alesi A. de Paula","raw_affiliation_strings":["Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044452531","display_name":"Guilherme V. Raffo","orcid":"https://orcid.org/0000-0002-1835-8380"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Guilherme V. Raffo","raw_affiliation_strings":["Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051468735","display_name":"Bruno O. S. Teixeira","orcid":"https://orcid.org/0000-0001-7608-0391"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Bruno O. S. Teixeira","raw_affiliation_strings":["Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Minas Gerais (UFMG),Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901","institution_ids":["https://openalex.org/I110200422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000019978"],"corresponding_institution_ids":["https://openalex.org/I110200422"],"apc_list":null,"apc_paid":null,"fwci":1.3682,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8569829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1589","last_page":"1594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.951200008392334,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.951200008392334,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9350000023841858,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9316999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/minification","display_name":"Minification","score":0.6126000285148621},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5776000022888184},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5659000277519226},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5630999803543091},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5393000245094299},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5249000191688538},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4440000057220459},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.42260000109672546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7074000239372253},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6126000285148621},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5776000022888184},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5659000277519226},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5630999803543091},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5393000245094299},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5249000191688538},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5069000124931335},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4440000057220459},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.42260000109672546},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.40630000829696655},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38830000162124634},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3662000000476837},{"id":"https://openalex.org/C2984536560","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State estimator","level":3,"score":0.3059000074863434},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2888999879360199},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.27649998664855957},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.2745000123977661},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.25619998574256897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc65951.2025.11186877","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11186877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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":23,"referenced_works":["https://openalex.org/W2001533932","https://openalex.org/W2051110650","https://openalex.org/W2084458926","https://openalex.org/W2300621294","https://openalex.org/W2531225021","https://openalex.org/W2800900158","https://openalex.org/W2892198774","https://openalex.org/W2902062209","https://openalex.org/W2902598644","https://openalex.org/W2920034463","https://openalex.org/W2922709006","https://openalex.org/W2940970026","https://openalex.org/W2986443237","https://openalex.org/W3004522146","https://openalex.org/W3013743304","https://openalex.org/W3136971676","https://openalex.org/W3153220569","https://openalex.org/W3159334320","https://openalex.org/W3159334459","https://openalex.org/W3159981917","https://openalex.org/W3217675514","https://openalex.org/W4206533002","https://openalex.org/W4388904508"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,12,25,100],"new":[4],"cost":[5,87],"criterion":[6,102],"to":[7,124,156],"enhance":[8],"the":[9,22,48,65,68,104,108],"precision":[10,66],"of":[11,45,50,61,67,137,148],"zonotopic":[13],"state":[14],"estimator":[15],"for":[16,78],"discrete-time":[17],"descriptor":[18,157],"linear":[19,128],"systems.":[20,158],"Originally,":[21],"algorithm":[23],"solves":[24],"minimum-trace":[26],"problem":[27,116],"involving":[28,150],"zonotopes,":[29],"whose":[30,130],"evolution":[31],"is":[32,80,111,117,122,133,140],"given":[33],"by":[34],"an":[35,126,151],"interval":[36,152],"observer":[37],"structure":[38],"containing":[39],"extra":[40],"design":[41],"matrices,":[42],"called":[43],"degrees":[44],"freedom.":[46],"Although":[47],"minimization":[49,60],"trace":[51],"yields":[52],"explicit":[53],"solutions,":[54],"it":[55],"does":[56],"not":[57],"necessarily":[58],"imply":[59],"volume,":[62],"and":[63],"thereby,":[64],"output":[69,109],"zonotope":[70,110],"cannot":[71],"be":[72],"improved":[73],"effectively.":[74],"The":[75,113,135],"volume":[76],"measure":[77],"zonotopes":[79],"computationally":[81],"expensive":[82],"and,":[83],"when":[84],"used":[85],"as":[86],"criterion,":[88],"implies":[89],"nonlinear":[90],"optimization":[91,115],"problems.":[92],"To":[93],"address":[94],"these":[95],"issues,":[96],"we":[97],"propose":[98],"here":[99,154],"minimum-radius":[101],"where":[103],"smallest":[105],"box":[106],"enclosing":[107],"minimized.":[112],"resulting":[114],"nonlinear,":[118],"but":[119],"its":[120],"convexity":[121],"exploited":[123],"yield":[125],"equivalent":[127],"program,":[129],"complexity":[131],"order":[132],"derived.":[134],"effectiveness":[136],"our":[138],"approach":[139],"illustrated":[141],"over":[142],"two":[143],"numerical":[144],"examples,":[145],"with":[146],"one":[147],"them":[149],"method":[153],"modified":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-15T00:00:00"}