{"id":"https://openalex.org/W1999373507","doi":"https://doi.org/10.1109/cdc.2013.6759952","title":"On using disconnected level sets Lyapunov functions in the context of sampled-data systems","display_name":"On using disconnected level sets Lyapunov functions in the context of sampled-data systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1999373507","doi":"https://doi.org/10.1109/cdc.2013.6759952","mag":"1999373507"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6759952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759952","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":"conference-paper","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/A5102831357","display_name":"Julien Louis","orcid":"https://orcid.org/0000-0002-9109-0958"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Louis","raw_affiliation_strings":["CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","Centre de Recherche en Automatique de Nancy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002669063","display_name":"Marc Jungers","orcid":"https://orcid.org/0000-0002-6670-3249"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Jungers","raw_affiliation_strings":["CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","Centre de Recherche en Automatique de Nancy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015675169","display_name":"Jamal Daafouz","orcid":"https://orcid.org/0000-0001-8313-8790"},"institutions":[{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Daafouz","raw_affiliation_strings":["CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","Centre de Recherche en Automatique de Nancy","Institut Universitaire de France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, UMR 7039, Vandreuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Institut Universitaire de France","institution_ids":["https://openalex.org/I185839726"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.404,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76022382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"38","issue":null,"first_page":"630","last_page":"635"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9958999752998352,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9944000244140625,"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/discretization","display_name":"Discretization","score":0.813761293888092},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6665315628051758},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6374754309654236},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6224817037582397},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6194737553596497},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6100828051567078},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5881170630455017},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5368296504020691},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5055084228515625},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5012378692626953},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4274487793445587},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4213692843914032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38566112518310547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30699288845062256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18090257048606873},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15115010738372803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13773438334465027}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.813761293888092},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6665315628051758},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6374754309654236},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6224817037582397},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6194737553596497},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6100828051567078},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5881170630455017},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5368296504020691},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5055084228515625},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5012378692626953},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4274487793445587},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4213692843914032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38566112518310547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30699288845062256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18090257048606873},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15115010738372803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13773438334465027},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6759952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759952","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W6354021","https://openalex.org/W1580798812","https://openalex.org/W2015395196","https://openalex.org/W2017940397","https://openalex.org/W2020327078","https://openalex.org/W2031096847","https://openalex.org/W2056073491","https://openalex.org/W2074840391","https://openalex.org/W2084784085","https://openalex.org/W2138387595","https://openalex.org/W2145731676","https://openalex.org/W2147908704","https://openalex.org/W4242287297","https://openalex.org/W6671484292"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W2374600121","https://openalex.org/W1979419366","https://openalex.org/W3096320284","https://openalex.org/W3102460617","https://openalex.org/W1990502710","https://openalex.org/W2159479095"],"abstract_inverted_index":{"The":[0,54],"main":[1,55],"objective":[2],"of":[3,11,24,32,50,57,75,87,99],"this":[4,58,85,91,132],"paper":[5,59],"is":[6,44,63],"to":[7,46,65,81,120,130],"give":[8],"an":[9,104],"interpretation":[10],"using":[12,84],"non-convex":[13],"and":[14,103,114],"disconnected":[15],"level":[16],"sets":[17,78],"Lyapunov":[18,88],"functions":[19],"in":[20],"the":[21,30,48,51,68,82,97,100,108,111,115,122],"stability":[22,98],"analysis":[23],"discrete":[25],"time":[26,35,71],"systems":[27],"obtained":[28],"by":[29],"discretization":[31,42],"a":[33,73],"continuous":[34,70,116],"Lur'e":[36],"system.":[37],"For":[38],"simplicity":[39],"reasons,":[40],"Euler":[41],"scheme":[43],"used":[45,119],"illustrate":[47,131],"features":[49],"proposed":[52,123],"method.":[53],"result":[56],"shows":[60],"that":[61,79],"it":[62],"possible":[64],"build,":[66],"for":[67],"original":[69],"system,":[72],"sequence":[74],"bounded":[76],"connected":[77],"converges":[80],"origin":[83],"type":[86],"functions.":[89],"To":[90],"end,":[92],"sufficient":[93],"LMI":[94],"conditions":[95],"ensuring":[96],"discrete-time":[101],"model":[102],"upper":[105],"bound":[106],"on":[107],"error":[109],"between":[110],"sampled":[112],"state":[113],"trajectory":[117],"are":[118],"prove":[121],"results.":[124],"An":[125],"example":[126],"will":[127],"be":[128],"considered":[129],"questioning.":[133]},"counts_by_year":[{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
