{"id":"https://openalex.org/W2015168212","doi":"https://doi.org/10.1109/tac.2015.2396644","title":"Parametric Robust Structured Control Design","display_name":"Parametric Robust Structured Control Design","publication_year":2015,"publication_date":"2015-01-29","ids":{"openalex":"https://openalex.org/W2015168212","doi":"https://doi.org/10.1109/tac.2015.2396644","mag":"2015168212"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2396644","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2396644","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.4202","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033569810","display_name":"Pierre Apkarian","orcid":"https://orcid.org/0000-0003-1122-9153"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I2801658355","display_name":"Office National d'\u00c9tudes et de Recherches A\u00e9rospatiales","ror":"https://ror.org/005y2ap84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2801658355"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Apkarian","raw_affiliation_strings":["Control System Department, Office National d'Etudes et de Recherches A\u00e9rospatiales (ONERA), Toulouse, France","Control System Department, ONERA, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Control System Department, Office National d'Etudes et de Recherches A\u00e9rospatiales (ONERA), Toulouse, France","institution_ids":["https://openalex.org/I2801658355"]},{"raw_affiliation_string":"Control System Department, ONERA, Toulouse, France","institution_ids":["https://openalex.org/I190497903","https://openalex.org/I2801658355"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080867745","display_name":"Minh N. Dao","orcid":"https://orcid.org/0000-0002-8074-6675"},"institutions":[{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405259414","https://openalex.org/I84500057"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]},{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["FR","VN"],"is_corresponding":false,"raw_author_name":"Minh Ngoc Dao","raw_affiliation_strings":["Department of Mathematics and Informatics, Institut de Math\u00e9matiques de Toulouse, Toulouse, France","Institut de Math\u00e9matiques de Toulouse, France","Hanoi National University of Education, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, Institut de Math\u00e9matiques de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I4210098964"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse, France","institution_ids":["https://openalex.org/I84500057"]},{"raw_affiliation_string":"Hanoi National University of Education, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030567369","display_name":"Dominikus Noll","orcid":"https://orcid.org/0000-0002-8638-2438"},"institutions":[{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405259414","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dominikus Noll","raw_affiliation_strings":["Institut de Math\u00e9matiques de Toulouse, Toulouse, France","Institut de Math\u00e9matiques de Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I84500057"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse, France","institution_ids":["https://openalex.org/I84500057"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033569810"],"corresponding_institution_ids":["https://openalex.org/I190497903","https://openalex.org/I2801658355"],"apc_list":null,"apc_paid":null,"fwci":12.2719,"has_fulltext":false,"cited_by_count":156,"citation_normalized_percentile":{"value":0.98752347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"60","issue":"7","first_page":"1857","last_page":"1869"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9994000196456909,"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/parametric-statistics","display_name":"Parametric statistics","score":0.7119944095611572},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6757800579071045},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5286111235618591},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5100013017654419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49088555574417114},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4446333050727844},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.4444500803947449},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4423273801803589},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4390665590763092},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4348737597465515},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.43169930577278137},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.42632555961608887},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3837658166885376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34704941511154175},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.25428611040115356},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1251484751701355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09029334783554077}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7119944095611572},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6757800579071045},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5286111235618591},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5100013017654419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49088555574417114},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4446333050727844},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.4444500803947449},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4423273801803589},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4390665590763092},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4348737597465515},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.43169930577278137},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.42632555961608887},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3837658166885376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34704941511154175},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25428611040115356},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1251484751701355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09029334783554077},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2015.2396644","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2396644","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1405.4202","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.4202","pdf_url":"https://arxiv.org/pdf/1405.4202","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01868400v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01868400","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2015, 60 (7), pp.1857-1869. &#x27E8;10.1109/TAC.2015.2396644&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.4202","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.4202","pdf_url":"https://arxiv.org/pdf/1405.4202","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W21204387","https://openalex.org/W121197570","https://openalex.org/W158640845","https://openalex.org/W173329990","https://openalex.org/W1507089487","https://openalex.org/W1525781748","https://openalex.org/W1531658170","https://openalex.org/W1551360398","https://openalex.org/W1566002199","https://openalex.org/W1579076373","https://openalex.org/W1601803999","https://openalex.org/W1669104078","https://openalex.org/W1840018796","https://openalex.org/W1868559974","https://openalex.org/W1969341787","https://openalex.org/W1984162393","https://openalex.org/W1993433915","https://openalex.org/W2002881050","https://openalex.org/W2010237880","https://openalex.org/W2012604200","https://openalex.org/W2015321063","https://openalex.org/W2021361347","https://openalex.org/W2029205388","https://openalex.org/W2029383729","https://openalex.org/W2036808929","https://openalex.org/W2036881208","https://openalex.org/W2038081967","https://openalex.org/W2039110678","https://openalex.org/W2048439785","https://openalex.org/W2049229701","https://openalex.org/W2053426508","https://openalex.org/W2056894169","https://openalex.org/W2059706201","https://openalex.org/W2064942524","https://openalex.org/W2065313971","https://openalex.org/W2067547116","https://openalex.org/W2079629485","https://openalex.org/W2080803951","https://openalex.org/W2086524685","https://openalex.org/W2094507464","https://openalex.org/W2099677729","https://openalex.org/W2118651984","https://openalex.org/W2121117794","https://openalex.org/W2123173024","https://openalex.org/W2123910839","https://openalex.org/W2128404353","https://openalex.org/W2135229502","https://openalex.org/W2147228817","https://openalex.org/W2163595428","https://openalex.org/W2164122194","https://openalex.org/W2178909929","https://openalex.org/W2181215447","https://openalex.org/W2284696297","https://openalex.org/W2318718193","https://openalex.org/W2343021291","https://openalex.org/W2798766386","https://openalex.org/W2798994937","https://openalex.org/W2807184692","https://openalex.org/W2951279288","https://openalex.org/W3141738324","https://openalex.org/W3143092787","https://openalex.org/W3195133498","https://openalex.org/W4230242906","https://openalex.org/W4247727674","https://openalex.org/W4254313632","https://openalex.org/W4296916355","https://openalex.org/W6752153330","https://openalex.org/W6843266726"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W2121922170","https://openalex.org/W4210838092","https://openalex.org/W2127982566","https://openalex.org/W2153731865","https://openalex.org/W1504381128","https://openalex.org/W2471196694","https://openalex.org/W1985711950"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,31,44,63],"new":[3],"approach":[4],"to":[5,49],"parametric":[6],"robust":[7],"controller":[8],"design,":[9],"where":[10],"we":[11],"compute":[12],"controllers":[13],"of":[14,34,40,55,70],"arbitrary":[15],"order":[16],"and":[17,62],"structure":[18],"which":[19,51,73],"minimize":[20],"the":[21,38,68,71],"worst-case":[22],"<inline-formula":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[25],"<tex-math":[26],"notation=\"TeX\">$H_{\\infty}":[27],"$</tex-math></inline-formula>":[28],"norm":[29],"over":[30],"pre-specified":[32],"set":[33],"uncertain":[35,83],"parameters.":[36,84],"At":[37],"core":[39],"our":[41],"method":[42,47],"is":[43],"nonsmooth":[45],"minimization":[46],"tailored":[48],"functions":[50],"are":[52],"semi-infinite":[53],"minima":[54],"smooth":[56],"functions.":[57],"A":[58],"rich":[59],"test":[60],"bench":[61],"more":[64],"detailed":[65],"example":[66],"illustrate":[67],"potential":[69],"technique,":[72],"can":[74],"deal":[75],"with":[76],"complex":[77],"problems":[78],"involving":[79],"multiple":[80],"possibly":[81],"repeated":[82]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}
