{"id":"https://openalex.org/W1992479799","doi":"https://doi.org/10.1109/cdc.2013.6760004","title":"Stability of systems with fast-varying delay using improved Wirtinger's inequality","display_name":"Stability of systems with fast-varying delay using improved Wirtinger's inequality","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1992479799","doi":"https://doi.org/10.1109/cdc.2013.6760004","mag":"1992479799"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760004","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"preprint","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/A5029842446","display_name":"Alexandre Seuret","orcid":"https://orcid.org/0000-0003-1434-7614"},"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/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alexandre Seuret","raw_affiliation_strings":["Univ de Toulouse, LAAS, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Univ de Toulouse, LAAS, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082571104","display_name":"Fr\u00e9d\u00e9ric Gouaisbaut","orcid":null},"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/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frederic Gouaisbaut","raw_affiliation_strings":["Univ de Toulouse, LAAS, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Univ de Toulouse, LAAS, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007830129","display_name":"Emilia Fridman","orcid":"https://orcid.org/0000-0002-8773-9494"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Emilia Fridman","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029842446"],"corresponding_institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"],"apc_list":null,"apc_paid":null,"fwci":13.51002659,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.99480532,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"946","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","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/novelty","display_name":"Novelty","score":0.8012466430664062},{"id":"https://openalex.org/keywords/conservatism","display_name":"Conservatism","score":0.7937538623809814},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6985493898391724},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6160900592803955},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5737360119819641},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5321371555328369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5297898650169373},{"id":"https://openalex.org/keywords/jensens-inequality","display_name":"Jensen's inequality","score":0.5265805125236511},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4866109788417816},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.43735384941101074},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.42550894618034363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4108465313911438},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.399884432554245},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3740939497947693},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1410100758075714},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.1276753544807434},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.11699670553207397},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11203816533088684},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1001008152961731},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.06232810020446777}],"concepts":[{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.8012466430664062},{"id":"https://openalex.org/C96640997","wikidata":"https://www.wikidata.org/wiki/Q5163004","display_name":"Conservatism","level":3,"score":0.7937538623809814},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6985493898391724},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6160900592803955},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5737360119819641},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5321371555328369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5297898650169373},{"id":"https://openalex.org/C174169938","wikidata":"https://www.wikidata.org/wiki/Q518131","display_name":"Jensen's inequality","level":5,"score":0.5265805125236511},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4866109788417816},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.43735384941101074},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.42550894618034363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4108465313911438},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.399884432554245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3740939497947693},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1410100758075714},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.1276753544807434},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.11699670553207397},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11203816533088684},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1001008152961731},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.06232810020446777},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760004","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5899999737739563,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1533970237","https://openalex.org/W1541913511","https://openalex.org/W1547514605","https://openalex.org/W1606275704","https://openalex.org/W1965392272","https://openalex.org/W1965587013","https://openalex.org/W1972307020","https://openalex.org/W1981673401","https://openalex.org/W1985396299","https://openalex.org/W1988098342","https://openalex.org/W2004272198","https://openalex.org/W2016562720","https://openalex.org/W2016565902","https://openalex.org/W2037686415","https://openalex.org/W2056987007","https://openalex.org/W2071370074","https://openalex.org/W2077320235","https://openalex.org/W2084066012","https://openalex.org/W2097114089","https://openalex.org/W2103774239","https://openalex.org/W2108729010","https://openalex.org/W2123369396","https://openalex.org/W2149971042","https://openalex.org/W3105589176","https://openalex.org/W4285719527","https://openalex.org/W6636081488","https://openalex.org/W6669755162"],"related_works":["https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W1895744421","https://openalex.org/W2347536774","https://openalex.org/W1996579463","https://openalex.org/W2398688349"],"abstract_inverted_index":{"This":[0],"paper":[1,14],"considers":[2],"the":[3,13,17,32,69,78,84,88,95,105],"stability":[4],"of":[5,12,19,44,68,94],"systems":[6],"with":[7,64],"fast-varying":[8],"delay.":[9],"The":[10,59,92],"novelty":[11],"comes":[15],"from":[16,104],"consideration":[18],"a":[20,41,54],"new":[21,39],"integral":[22],"inequality":[23],"which":[24],"is":[25,47,50,61,98],"proved":[26],"to":[27,52,82],"be":[28],"less":[29],"conservative":[30],"than":[31],"celebrated":[33],"Jensen's":[34],"inequality.":[35],"Based":[36],"on":[37],"this":[38],"inequality,":[40,74],"dedicated":[42],"construction":[43],"Lyapunov-Krasovskii":[45],"functionals":[46],"proposed":[48,96],"and":[49],"showed":[51],"have":[53],"great":[55],"potential":[56],"in":[57,77,80],"practice.":[58],"method":[60],"also":[62],"combined":[63],"an":[65],"efficient":[66],"representation":[67],"improved":[70],"reciprocally":[71],"convex":[72],"combination":[73],"recently":[75],"provided":[76],"literature,":[79],"order":[81],"reduce":[83],"conservatism":[85],"induced":[86],"by":[87,100],"LMIs":[89],"optimization":[90],"setup.":[91],"effectiveness":[93],"result":[97],"illustrated":[99],"some":[101],"classical":[102],"examples":[103],"literature.":[106]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6}],"updated_date":"2026-02-20T08:17:22.645390","created_date":"2025-10-10T00:00:00"}