{"id":"https://openalex.org/W1973515232","doi":"https://doi.org/10.1109/acc.2012.6315036","title":"Stability and asymptotic observers of binary distillation processes described by nonlinear convection/diffusion models","display_name":"Stability and asymptotic observers of binary distillation processes described by nonlinear convection/diffusion models","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W1973515232","doi":"https://doi.org/10.1109/acc.2012.6315036","mag":"1973515232"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315036","doi":"https://doi.org/10.1109/acc.2012.6315036","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315036","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5090700343","display_name":"St\u00e9phane Dudret","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210143465","display_name":"Air Liquide (France)","ror":"https://ror.org/0431b2v07","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210143465"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stephane Dudret","raw_affiliation_strings":["Air Liquide, CRCD, Jouy-en-Josas, France","Air Liquide, Process Control & Logistics Group, CRCD, 1 chemin de la Porte des Loges, BP 126, 78354 Jouy-en-Josas, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Liquide, CRCD, Jouy-en-Josas, France","institution_ids":["https://openalex.org/I4210143465"]},{"raw_affiliation_string":"Air Liquide, Process Control & Logistics Group, CRCD, 1 chemin de la Porte des Loges, BP 126, 78354 Jouy-en-Josas, France","institution_ids":["https://openalex.org/I4210143465"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005345782","display_name":"Karine Beauchard","orcid":"https://orcid.org/0000-0003-4127-2021","observed_orcids":["https://orcid.org/0000-0003-4127-2021"]},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210091511","display_name":"Centre de Math\u00e9matiques Laurent Schwartz","ror":"https://ror.org/00b7djk73","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210091511","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"K. Beauchard","raw_affiliation_strings":["CMLS, Ecole polytechnique, France","CMLS, \u00c9cole polytechnique, 91128 Palaiseau Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMLS, Ecole polytechnique, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210091511"]},{"raw_affiliation_string":"CMLS, \u00c9cole polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210091511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055099573","display_name":"Fouad Ammouri","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210143465","display_name":"Air Liquide (France)","ror":"https://ror.org/0431b2v07","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210143465"]},{"id":"https://openalex.org/I4405253953","display_name":"Centre Automatique et Syst\u00e8mes","ror":"https://ror.org/018786988","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4405253953","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Ammouri","raw_affiliation_strings":["Mines ParisTech, Centre Automatique et Systemes, Paris cedex 06, France pierre","Air Liquide, Process Control & Logistics Group, CRCD, 1 chemin de la Porte des Loges, BP 126, 78354 Jouy-en-Josas, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mines ParisTech, Centre Automatique et Systemes, Paris cedex 06, France pierre","institution_ids":["https://openalex.org/I4405253953","https://openalex.org/I70768539"]},{"raw_affiliation_string":"Air Liquide, Process Control & Logistics Group, CRCD, 1 chemin de la Porte des Loges, BP 126, 78354 Jouy-en-Josas, France","institution_ids":["https://openalex.org/I4210143465"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065752316","display_name":"Pierre Rouchon","orcid":"https://orcid.org/0000-0001-6160-5634","observed_orcids":["https://orcid.org/0000-0001-6160-5634"]},"institutions":[{"id":"https://openalex.org/I4210143465","display_name":"Air Liquide (France)","ror":"https://ror.org/0431b2v07","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210143465"]},{"id":"https://openalex.org/I4405253953","display_name":"Centre Automatique et Syst\u00e8mes","ror":"https://ror.org/018786988","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4405253953","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Rouchon","raw_affiliation_strings":["Air Liquide, CRCD, Jouy-en-Josas, France","Mines ParisTech, Centre Automatique et Syst\u00e8mes, Unit\u00e9 Math\u00e9matiques et Syst\u00e8mes, 60 Bd Saint-Michel, 75272 Paris cedex 06, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Liquide, CRCD, Jouy-en-Josas, France","institution_ids":["https://openalex.org/I4210143465"]},{"raw_affiliation_string":"Mines ParisTech, Centre Automatique et Syst\u00e8mes, Unit\u00e9 Math\u00e9matiques et Syst\u00e8mes, 60 Bd Saint-Michel, 75272 Paris cedex 06, France","institution_ids":["https://openalex.org/I4405253953","https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5224,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92638005,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3352","last_page":"3358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9907000064849854,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9907000064849854,"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":0.002899999963119626,"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/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-distillation","display_name":"binary distillation","score":0.9259999990463257},{"id":"https://openalex.org/keywords/partial-differential-equations","display_name":"partial differential equations","score":0.6899999976158142},{"id":"https://openalex.org/keywords/wave-model","display_name":"wave model","score":0.5709999799728394},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.7369999885559082},{"id":"https://openalex.org/keywords/steady-state-solutions","display_name":"stationary solutions","score":0.8059999942779541},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.9350000023841858},{"id":"https://openalex.org/keywords/local-exponential-stability","display_name":"local exponential stability","score":0.9359999895095825},{"id":"https://openalex.org/keywords/asymptotic-observer","display_name":"asymptotic observer","score":0.8880000114440918},{"id":"https://openalex.org/keywords/boundary-measurements","display_name":"boundary measurements","score":0.718999981880188}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7409735918045044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6649375557899475},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5869786143302917},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5664651989936829},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5126373171806335},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5086732506752014},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.48497891426086426},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4685695171356201},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46119049191474915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4514153003692627},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4400123953819275},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.428196519613266},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42196208238601685},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.41981056332588196},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41461434960365295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15716058015823364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11241209506988525},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2012.6315036","doi":"https://doi.org/10.1109/acc.2012.6315036","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315036","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00738684v1","doi":null,"is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-00738684","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"American Control Conference 2012, Jun 2012, Montreal, Canada. pp.3352 - 3358","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1495461238","https://openalex.org/W1561704653","https://openalex.org/W1986848345","https://openalex.org/W1993112548","https://openalex.org/W1994563435","https://openalex.org/W2007575884","https://openalex.org/W2107030502","https://openalex.org/W2107395962","https://openalex.org/W2142986439","https://openalex.org/W2168628533","https://openalex.org/W2369386221","https://openalex.org/W4213264637"],"related_works":["https://openalex.org/W4376552681","https://openalex.org/W2113249318","https://openalex.org/W2170392970","https://openalex.org/W2094379481","https://openalex.org/W17639740","https://openalex.org/W1527376646","https://openalex.org/W2612620733","https://openalex.org/W2042334452","https://openalex.org/W2017488673","https://openalex.org/W1577701748"],"abstract_inverted_index":{"Distillation":[0],"column":[1],"monitoring":[2],"requires":[3],"shortcut":[4],"nonlinear":[5],"dynamic":[6],"models.":[7],"On":[8],"the":[9,27,38,42,76,81],"basis":[10],"of":[11,92],"a":[12,21,65,71,85,90],"classical":[13],"wave-model":[14],"and":[15,32,41,54,95],"time-scale":[16],"reduction":[17],"techniques,":[18],"we":[19,55,88],"derive":[20],"one-dimensional":[22],"partial":[23],"differential":[24],"equation":[25],"describing":[26],"composition":[28],"dynamics":[29],"where":[30],"convection":[31],"diffusion":[33],"terms":[34],"depend":[35],"non-linearly":[36],"on":[37],"internal":[39],"compositions":[40],"inputs.":[43],"The":[44],"Cauchy":[45],"problem":[46],"is":[47],"well":[48],"posed":[49],"for":[50,60],"any":[51,61],"positive":[52],"time":[53],"prove":[56,75,96],"that":[57,104],"it":[58],"admits,":[59],"relevant":[62],"constant":[63],"inputs,":[64],"unique":[66],"stationary":[67,82],"solution.":[68,83],"We":[69],"exhibit":[70],"Lyapunov":[72],"function":[73],"to":[74,109],"local":[77,98],"exponential":[78,99],"stability":[79],"around":[80],"For":[84],"boundary":[86],"measure,":[87],"propose":[89],"family":[91],"asymptotic":[93],"observers":[94],"their":[97],"convergence.":[100],"Numerical":[101],"simulations":[102],"indicate":[103],"these":[105],"convergence":[106],"properties":[107],"seem":[108],"be":[110],"more":[111],"than":[112],"local.":[113]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}