{"id":"https://openalex.org/W2163858306","doi":"https://doi.org/10.1109/cdc.2007.4434313","title":"A nonsmooth IQC method for robust synthesis.","display_name":"A nonsmooth IQC method for robust synthesis.","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2163858306","doi":"https://doi.org/10.1109/cdc.2007.4434313","mag":"2163858306"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5109249106","display_name":"Prot Olivier","orcid":null},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Prot Olivier","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033569810","display_name":"Pierre Apkarian","orcid":"https://orcid.org/0000-0003-1122-9153"},"institutions":[{"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"]},{"id":"https://openalex.org/I4210130108","display_name":"Centre d'\u00c9tude et de Recherche Travail Organisation Pouvoir","ror":"https://ror.org/02hbzmb19","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I4210130108","https://openalex.org/I4210133643","https://openalex.org/I4210139971","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Apkarian","raw_affiliation_strings":["CERT/ONERA, Toulouse, France","Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"CERT/ONERA, Toulouse, France","institution_ids":["https://openalex.org/I4210130108","https://openalex.org/I2801658355"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555"]}]},{"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/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dominikus Noll","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 Paul Sabatier, Toulouse, France","institution_ids":["https://openalex.org/I134560555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109249106"],"corresponding_institution_ids":["https://openalex.org/I134560555"],"apc_list":null,"apc_paid":null,"fwci":0.8778,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8220119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"824","last_page":"829"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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":0.9937999844551086,"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":0.7728632688522339},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6807639598846436},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6786096692085266},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5710502862930298},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5449023842811584},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5007565021514893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4730493128299713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4080447852611542},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3666490912437439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36274784803390503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3541950583457947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15721061825752258},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10521319508552551},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06159400939941406}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7728632688522339},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6807639598846436},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6786096692085266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5710502862930298},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5449023842811584},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5007565021514893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4730493128299713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4080447852611542},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3666490912437439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36274784803390503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3541950583457947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15721061825752258},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10521319508552551},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06159400939941406},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2007.4434313","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.4889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.4889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mip.ups-tlse.fr/~noll/PAPERS/ieee2007.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1537335979","https://openalex.org/W1551360398","https://openalex.org/W1691404827","https://openalex.org/W1786620475","https://openalex.org/W1976643107","https://openalex.org/W2012604200","https://openalex.org/W2036808929","https://openalex.org/W2038648531","https://openalex.org/W2068484625","https://openalex.org/W2094507464","https://openalex.org/W2097944741","https://openalex.org/W2134849498","https://openalex.org/W2163630364","https://openalex.org/W4246616525","https://openalex.org/W6684293833"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W1690653314","https://openalex.org/W2401723157","https://openalex.org/W2083080126","https://openalex.org/W26370561","https://openalex.org/W2004433721"],"abstract_inverted_index":{"Synthesis":[0],"of":[1,22,45],"robust":[2],"H":[3],"<sub":[4],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">infin</sub>":[6],"output":[7],"feedback":[8],"controllers":[9],"for":[10,38],"plants":[11],"subject":[12],"to":[13,27,58],"parametric":[14,30],"uncertainties":[15,31],"is":[16,54],"discussed.":[17],"We":[18],"use":[19],"the":[20,52],"formalism":[21],"integral":[23],"quadratic":[24],"constraints":[25],"(IQCs)":[26],"model":[28],"structured":[29],"and":[32,56],"present":[33],"a":[34],"nonsmooth":[35],"optimization":[36],"method":[37,53],"IQCs":[39],"which":[40],"reduces":[41],"conservatism":[42],"by":[43],"way":[44],"dynamic":[46],"multipliers.":[47],"Numerical":[48],"experiments":[49],"indicate":[50],"that":[51],"promising":[55],"expected":[57],"improve":[59],"over":[60],"currently":[61],"available":[62],"heuristics.":[63]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}