{"id":"https://openalex.org/W2027111928","doi":"https://doi.org/10.1109/cdc.2013.6760001","title":"Bessel inequality for robust stability analysis of time-delay system","display_name":"Bessel inequality for robust stability analysis of time-delay system","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2027111928","doi":"https://doi.org/10.1109/cdc.2013.6760001","mag":"2027111928"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760001","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/A5067899511","display_name":"Fr\u00e9d\u00e9ric Gouaisbaut","orcid":"https://orcid.org/0000-0002-4263-7195"},"institutions":[{"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"]},{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"F. Gouaisbaut","raw_affiliation_strings":["UPS, Univ de Toulouse, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"UPS, Univ de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032283425","display_name":"Yassine Ariba","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/I4210150621","display_name":"Institut Catholique d'Arts et M\u00e9tiers","ror":"https://ror.org/04155vc40","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210112706","https://openalex.org/I4210150621","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Y. Ariba","raw_affiliation_strings":["Dpt of Electrical Engineering and Computer Science, ICAM, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"Dpt of Electrical Engineering and Computer Science, ICAM, Toulouse, France","institution_ids":["https://openalex.org/I4210150621"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029842446","display_name":"Alexandre Seuret","orcid":"https://orcid.org/0000-0003-1434-7614"},"institutions":[{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Seuret","raw_affiliation_strings":["LAAS, Univ de Toulouse, Toulouse, France","LAAS, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS, Univ de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS, Toulouse, France","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067899511"],"corresponding_institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I190497903"],"apc_list":null,"apc_paid":null,"fwci":1.46497437,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84824261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"928","last_page":"933"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9941999912261963,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.992900013923645,"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/stability","display_name":"Stability (learning theory)","score":0.7152349948883057},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6432511806488037},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6192774772644043},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5829687118530273},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5484706163406372},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.533627450466156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.475408136844635},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.44513097405433655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43091779947280884},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3211578130722046},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.31399181485176086},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23758700489997864},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1041533350944519},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09649232029914856}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7152349948883057},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6432511806488037},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6192774772644043},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5829687118530273},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5484706163406372},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.533627450466156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.475408136844635},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.44513097405433655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43091779947280884},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3211578130722046},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.31399181485176086},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23758700489997864},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1041533350944519},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09649232029914856},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2013.6760001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760001","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.411.7420","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.411.7420","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/86/03/75/PDF/cdc13vf.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1965587013","https://openalex.org/W1985396299","https://openalex.org/W1988041926","https://openalex.org/W1998083963","https://openalex.org/W2016565902","https://openalex.org/W2032019686","https://openalex.org/W2037686415","https://openalex.org/W2051591980","https://openalex.org/W2056987007","https://openalex.org/W2071370074","https://openalex.org/W2084066012","https://openalex.org/W2097114089","https://openalex.org/W2108729010","https://openalex.org/W2108774236","https://openalex.org/W2123369396","https://openalex.org/W2134840386","https://openalex.org/W2139186869","https://openalex.org/W2141566274","https://openalex.org/W2149971042","https://openalex.org/W2150715742","https://openalex.org/W2153291842","https://openalex.org/W2525143841","https://openalex.org/W3105589176","https://openalex.org/W4298215090","https://openalex.org/W6649850282","https://openalex.org/W6680530399"],"related_works":["https://openalex.org/W2049939404","https://openalex.org/W1519777678","https://openalex.org/W2034875467","https://openalex.org/W76811607","https://openalex.org/W2011121568","https://openalex.org/W4388316559","https://openalex.org/W1848405970","https://openalex.org/W2022428104","https://openalex.org/W2593359904","https://openalex.org/W2136252229"],"abstract_inverted_index":{"Abstract":[0],"\u2014":[1],"This":[2],"paper":[3],"addresses":[4],"the":[5,8,23,32,41,50,61,64,80],"problem":[6],"of":[7,63,70],"stability":[9,87],"analysis":[10,19],"for":[11,35,83],"a":[12,17,68],"linear":[13],"time-delay":[14],"systems":[15],"via":[16],"robust":[18],"approach":[20],"and":[21,88],"especially":[22],"quadratic":[24],"separation":[25],"framework.":[26],"To":[27],"this":[28],"end,":[29],"we":[30],"use":[31],"Bessel":[33],"inequality":[34],"building":[36],"operators":[37],"that":[38],"depend":[39],"on":[40,77],"delay.":[42],"They":[43],"not":[44],"only":[45],"allow":[46],"us":[47],"to":[48,59,79],"model":[49],"system":[51,56],"as":[52],"an":[53],"uncertain":[54],"feedback":[55],"but":[57],"also":[58],"control":[60],"accuracy":[62],"approximations":[65],"made.":[66],"Then,":[67],"set":[69],"LMIs":[71],"conditions":[72],"are":[73],"proposed":[74],"which":[75],"tends":[76],"examples":[78],"analytical":[81],"bounds":[82],"both":[84],"delay":[85,89],"dependent":[86],"range":[90],"stability.":[91],"I.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
