{"id":"https://openalex.org/W3186988756","doi":"https://doi.org/10.23919/acc50511.2021.9483380","title":"Probabilistic \u00b5-Analysis Using Mapped Uncertainties","display_name":"Probabilistic \u00b5-Analysis Using Mapped Uncertainties","publication_year":2021,"publication_date":"2021-05-25","ids":{"openalex":"https://openalex.org/W3186988756","doi":"https://doi.org/10.23919/acc50511.2021.9483380","mag":"3186988756"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483380","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"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/A5053187620","display_name":"David Seiferth","orcid":"https://orcid.org/0000-0002-4250-558X"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"David Seiferth","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035698702","display_name":"Johannes Diepolder","orcid":"https://orcid.org/0000-0002-5962-6126"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Diepolder","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089131089","display_name":"Rubens Junqueira Magalh\u00e3es Afonso","orcid":"https://orcid.org/0000-0001-9209-2253"},"institutions":[{"id":"https://openalex.org/I107428990","display_name":"Instituto Tecnol\u00f3gico de Aeron\u00e1utica","ror":"https://ror.org/05vh67662","country_code":"BR","type":"education","lineage":["https://openalex.org/I107428990"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rubens Afonso","raw_affiliation_strings":["Instituto Tecnol\u00f3gico de Aeron\u00e1utica, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto Tecnol\u00f3gico de Aeron\u00e1utica, Brazil","institution_ids":["https://openalex.org/I107428990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077586145","display_name":"Florian Holzapfel","orcid":"https://orcid.org/0000-0003-4733-9186"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Holzapfel","raw_affiliation_strings":["Institute of Flight System Dynamics, Technical University of Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Flight System Dynamics, Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.582,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.519757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":67,"max":72},"biblio":{"volume":null,"issue":null,"first_page":"3670","last_page":"3676"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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":1.0,"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":0.9966,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9962,"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":[],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.71289647},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.66716504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5304092},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.513966},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.50978583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49862695},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.49536264},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.473395},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.4717363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4279509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38992852},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1042636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09971383},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483380","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"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":11,"referenced_works":["https://openalex.org/W1571355869","https://openalex.org/W1573878755","https://openalex.org/W1603360336","https://openalex.org/W2096414765","https://openalex.org/W2106441401","https://openalex.org/W2109090100","https://openalex.org/W2131588967","https://openalex.org/W2766943042","https://openalex.org/W3106380050","https://openalex.org/W4243620103","https://openalex.org/W97561391"],"related_works":["https://openalex.org/W830096938","https://openalex.org/W2943623134","https://openalex.org/W2893341095","https://openalex.org/W2477720232","https://openalex.org/W2189202191","https://openalex.org/W2177346860","https://openalex.org/W2145856894","https://openalex.org/W2109606716","https://openalex.org/W2030292806","https://openalex.org/W1603360336"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,44,63,75,154],"new":[4],"probabilistic":[5,26],"\u03bc-analysis":[6,27],"approach":[7],"to":[8,38,54,139,149],"compute":[9],"the":[10,23,50,56,59,86,94,98,107,110,115,119,122,129,150,158],"probability":[11,34,57,65,69,130,143],"for":[12,25,66,70,106,161],"stability":[13,71],"of":[14,28,47,93,109,118,153],"LTI":[15],"systems":[16,30],"with":[17,31],"normally-distributed":[18],"uncertainties":[19,79],"and":[20,82],"can":[21],"set":[22],"base":[24],"uncertain":[29],"arbitrary":[32],"continuous":[33],"distributions.":[35,144],"In":[36],"contrast":[37],"Monte":[39],"Carlo":[40],"methods,":[41],"which":[42,103],"require":[43],"high":[45],"number":[46],"samples":[48],"over":[49],"entire":[51],"uncertainty":[52,88,112],"space":[53],"approximate":[55],"accurately,":[58],"proposed":[60,134],"algorithm":[61,135,146],"gives":[62],"guaranteed":[64],"stability.":[67],"The":[68,90,133,145],"is":[72,104,131,136,147],"maximized":[73],"within":[74],"bi-level":[76,95,120],"optimization.":[77],"Mapped":[78],"are":[80,83,125],"introduced":[81],"transformed":[84],"into":[85],"true":[87],"space.":[89,113],"inner":[91],"level":[92,117],"optimization":[96,121],"calculates":[97],"singular":[99],"structure":[100],"value":[101],"\u03bc,":[102],"used":[105],"extension":[108],"allowed":[111],"At":[114],"outer":[116],"transformation":[123],"parameters":[124],"adapted":[126],"such":[127],"that":[128],"maximized.":[132],"not":[137],"limited":[138],"uniform":[140],"or":[141],"truncated":[142],"applied":[148],"closed-loop":[151],"system":[152],"highly-agile":[155],"aircraft":[156],"in":[157],"longitudinal":[159],"motion":[160],"illustration.":[162]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3186988756","counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2024-12-15T20:05:07.393356","created_date":"2021-08-02"}