{"id":"https://openalex.org/W2103313140","doi":"https://doi.org/10.1016/0005-1098(93)90175-s","title":"The complex structured singular value","display_name":"The complex structured singular value","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2103313140","doi":"https://doi.org/10.1016/0005-1098(93)90175-s","mag":"2103313140"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(93)90175-s","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(93)90175-s","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5076844884","display_name":"Andrew Packard","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Packard","raw_affiliation_strings":["Mechanical Engineering, University of California, Berkeley, CA 94720, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, University of California, Berkeley, CA 94720, U.S.A","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085737537","display_name":"John C. Doyle","orcid":"https://orcid.org/0000-0002-1828-2486"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Doyle","raw_affiliation_strings":["Electrical Engineering, 116-81, Caltech, Pasadena, CA 91125, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering, 116-81, Caltech, Pasadena, CA 91125, U.S.A","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":121.2541,"has_fulltext":false,"cited_by_count":1463,"citation_normalized_percentile":{"value":1.0,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"29","issue":"1","first_page":"71","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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/T11081","display_name":"Advanced Control Systems Design","score":0.998199999332428,"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/singular-value","display_name":"Singular value","score":0.7887156009674072},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7372368574142456},{"id":"https://openalex.org/keywords/linear-fractional-transformation","display_name":"Linear fractional transformation","score":0.6491014957427979},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5247519016265869},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5235033631324768},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5199821591377258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5139948725700378},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5056304931640625},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4235048294067383},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4176385998725891},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41468381881713867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965226709842682},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.36753538250923157},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33060649037361145},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3277739882469177},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.12104594707489014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11982974410057068},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09528696537017822},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09011194109916687}],"concepts":[{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.7887156009674072},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7372368574142456},{"id":"https://openalex.org/C2777376839","wikidata":"https://www.wikidata.org/wiki/Q18354190","display_name":"Linear fractional transformation","level":4,"score":0.6491014957427979},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5247519016265869},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5235033631324768},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5199821591377258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5139948725700378},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5056304931640625},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4235048294067383},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4176385998725891},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41468381881713867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965226709842682},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.36753538250923157},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33060649037361145},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3277739882469177},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.12104594707489014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11982974410057068},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09528696537017822},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09011194109916687},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0005-1098(93)90175-s","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(93)90175-s","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:75933","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20170408-142303477","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":107,"referenced_works":["https://openalex.org/W66060913","https://openalex.org/W89187959","https://openalex.org/W135920378","https://openalex.org/W1505756011","https://openalex.org/W1516847695","https://openalex.org/W1530909756","https://openalex.org/W1534416612","https://openalex.org/W1545961629","https://openalex.org/W1564382985","https://openalex.org/W1571355869","https://openalex.org/W1590468009","https://openalex.org/W1965440936","https://openalex.org/W1966320607","https://openalex.org/W1969579584","https://openalex.org/W1970347838","https://openalex.org/W1972595172","https://openalex.org/W1978344182","https://openalex.org/W1982604350","https://openalex.org/W1985695862","https://openalex.org/W1986265839","https://openalex.org/W1991763397","https://openalex.org/W1998719727","https://openalex.org/W2002357820","https://openalex.org/W2003830266","https://openalex.org/W2004470537","https://openalex.org/W2005549029","https://openalex.org/W2009253901","https://openalex.org/W2022602688","https://openalex.org/W2026769037","https://openalex.org/W2030033366","https://openalex.org/W2034235667","https://openalex.org/W2042106612","https://openalex.org/W2053382522","https://openalex.org/W2054124110","https://openalex.org/W2054560172","https://openalex.org/W2055319245","https://openalex.org/W2059507126","https://openalex.org/W2061859684","https://openalex.org/W2062680579","https://openalex.org/W2070461982","https://openalex.org/W2077043986","https://openalex.org/W2081557946","https://openalex.org/W2081851252","https://openalex.org/W2084028370","https://openalex.org/W2089024379","https://openalex.org/W2094973444","https://openalex.org/W2096414765","https://openalex.org/W2096564534","https://openalex.org/W2096765873","https://openalex.org/W2102897286","https://openalex.org/W2109090100","https://openalex.org/W2110092322","https://openalex.org/W2117921285","https://openalex.org/W2119964170","https://openalex.org/W2120581895","https://openalex.org/W2123173024","https://openalex.org/W2126320574","https://openalex.org/W2127537630","https://openalex.org/W2130487608","https://openalex.org/W2130515279","https://openalex.org/W2130700905","https://openalex.org/W2134678940","https://openalex.org/W2141077810","https://openalex.org/W2143773571","https://openalex.org/W2144263793","https://openalex.org/W2147572442","https://openalex.org/W2160188132","https://openalex.org/W2165384677","https://openalex.org/W2166180798","https://openalex.org/W2167056212","https://openalex.org/W2177678112","https://openalex.org/W2187734349","https://openalex.org/W2188244809","https://openalex.org/W2229879360","https://openalex.org/W2255439832","https://openalex.org/W2318718193","https://openalex.org/W2319550479","https://openalex.org/W2565145308","https://openalex.org/W2635513810","https://openalex.org/W2747297037","https://openalex.org/W2753704026","https://openalex.org/W3139993388","https://openalex.org/W3201182840","https://openalex.org/W4241181932","https://openalex.org/W4243620103","https://openalex.org/W4249487427","https://openalex.org/W4251481403","https://openalex.org/W4365806536","https://openalex.org/W6603748902","https://openalex.org/W6630497414","https://openalex.org/W6631789900","https://openalex.org/W6635439873","https://openalex.org/W6643542361","https://openalex.org/W6645566269","https://openalex.org/W6648160882","https://openalex.org/W6650465174","https://openalex.org/W6659153281","https://openalex.org/W6671728995","https://openalex.org/W6675377452","https://openalex.org/W6676265304","https://openalex.org/W6676437079","https://openalex.org/W6678132449","https://openalex.org/W6681847900","https://openalex.org/W6683224441","https://openalex.org/W6687201498","https://openalex.org/W6700492206","https://openalex.org/W7014882659"],"related_works":["https://openalex.org/W1585924942","https://openalex.org/W2156137519","https://openalex.org/W2154390391","https://openalex.org/W2362665641","https://openalex.org/W2008168255","https://openalex.org/W2147985158","https://openalex.org/W2111706413","https://openalex.org/W2193674987","https://openalex.org/W2619207519","https://openalex.org/W2103313140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":28},{"year":2023,"cited_by_count":26},{"year":2022,"cited_by_count":31},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":26},{"year":2018,"cited_by_count":29},{"year":2017,"cited_by_count":33},{"year":2016,"cited_by_count":39},{"year":2015,"cited_by_count":39},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":40},{"year":2012,"cited_by_count":32}],"updated_date":"2026-06-20T20:08:15.867695","created_date":"2025-10-10T00:00:00"}