{"id":"https://openalex.org/W3094597191","doi":"https://doi.org/10.1109/cdc42340.2020.9304178","title":"Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity","display_name":"Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3094597191","doi":"https://doi.org/10.1109/cdc42340.2020.9304178","mag":"3094597191"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","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/A5043449102","display_name":"Swann Marx","orcid":"https://orcid.org/0000-0002-0722-3560"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210117005","display_name":"Laboratoire des Sciences du Num\u00e9rique de Nantes","ror":"https://ror.org/02snf8m58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I97188460","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Swann Marx","raw_affiliation_strings":["LS2N, \u00c9cole Centrale de Nantes & CNRS UMR 6004, Nantes, France","LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LS2N, \u00c9cole Centrale de Nantes & CNRS UMR 6004, Nantes, France","institution_ids":["https://openalex.org/I97188460","https://openalex.org/I100445878","https://openalex.org/I4210117005","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LS2N - Laboratoire des Sciences du Num\u00e9rique de Nantes (Universit\u00e9 de Nantes \u2013 facult\u00e9 des Sciences et Techniques (FST)\r\n2 Chemin de la Houssini\u00e8re\r\nBP 92208, 44322 Nantes Cedex 3 - France)","institution_ids":["https://openalex.org/I4210117005","https://openalex.org/I97188460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073877437","display_name":"Lucas Brivadis","orcid":"https://orcid.org/0000-0002-1763-0995"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]},{"id":"https://openalex.org/I59692284","display_name":"\u00c9cole d'Ing\u00e9nieurs en Chimie et Sciences du Num\u00e9rique","ror":"https://ror.org/01cbtr271","country_code":"FR","type":"education","lineage":["https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lucas Brivadis","raw_affiliation_strings":["Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007, Villeurbanne, France","LAGEPP - Laboratoire d'automatique, de g\u00e9nie des proc\u00e9d\u00e9s et de g\u00e9nie pharmaceutique (b\u00e2t 308G ESCPE-Lyon, 2\u00e8me \u00e9tage 43 bd du 11 Novembre 1918 69622 Villeurbanne Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAGEPP - Laboratoire d'automatique, de g\u00e9nie des proc\u00e9d\u00e9s et de g\u00e9nie pharmaceutique (b\u00e2t 308G ESCPE-Lyon, 2\u00e8me \u00e9tage 43 bd du 11 Novembre 1918 69622 Villeurbanne Cedex - France)","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I59692284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074286208","display_name":"Daniele Astolfi","orcid":"https://orcid.org/0000-0003-2690-7420"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210143168","display_name":"Automation and Process Engineering Laboratory","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]},{"id":"https://openalex.org/I59692284","display_name":"\u00c9cole d'Ing\u00e9nieurs en Chimie et Sciences du Num\u00e9rique","ror":"https://ror.org/01cbtr271","country_code":"FR","type":"education","lineage":["https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele Astolfi","raw_affiliation_strings":["Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007, Villeurbanne, France","LAGEPP - Laboratoire d'automatique, de g\u00e9nie des proc\u00e9d\u00e9s et de g\u00e9nie pharmaceutique (b\u00e2t 308G ESCPE-Lyon, 2\u00e8me \u00e9tage 43 bd du 11 Novembre 1918 69622 Villeurbanne Cedex - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEPP UMR 5007, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I4210143168","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAGEPP - Laboratoire d'automatique, de g\u00e9nie des proc\u00e9d\u00e9s et de g\u00e9nie pharmaceutique (b\u00e2t 308G ESCPE-Lyon, 2\u00e8me \u00e9tage 43 bd du 11 Novembre 1918 69622 Villeurbanne Cedex - France)","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I59692284"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043449102"],"corresponding_institution_ids":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I4210117005","https://openalex.org/I97188460"],"apc_list":null,"apc_paid":null,"fwci":0.4464,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63355665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"640","last_page":"645"},"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":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9907000064849854,"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/ode","display_name":"Ode","score":0.9026963710784912},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7427300214767456},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6643047332763672},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6578724980354309},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6466125249862671},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5707865357398987},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5363987684249878},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5001461505889893},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4659275710582733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.445236474275589},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.4377239942550659},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3848123550415039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3748486042022705},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3497598171234131},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.14110714197158813},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1394423544406891},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11006852984428406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09461131691932678},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08798885345458984},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06525921821594238}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.9026963710784912},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7427300214767456},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6643047332763672},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6578724980354309},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6466125249862671},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5707865357398987},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5363987684249878},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5001461505889893},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4659275710582733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.445236474275589},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.4377239942550659},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3848123550415039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3748486042022705},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3497598171234131},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.14110714197158813},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1394423544406891},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11006852984428406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09461131691932678},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08798885345458984},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06525921821594238},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02971503v2","is_oa":false,"landing_page_url":"https://hal.science/hal-02971503","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/9304178","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1494982173","https://openalex.org/W1498121547","https://openalex.org/W1527296550","https://openalex.org/W1971004260","https://openalex.org/W1986384504","https://openalex.org/W1988511271","https://openalex.org/W2035475156","https://openalex.org/W2043120443","https://openalex.org/W2058945808","https://openalex.org/W2066096538","https://openalex.org/W2074857762","https://openalex.org/W2134472078","https://openalex.org/W2157630435","https://openalex.org/W2171649678","https://openalex.org/W2198472822","https://openalex.org/W2344666630","https://openalex.org/W2482021336","https://openalex.org/W2499641798","https://openalex.org/W2521163219","https://openalex.org/W2727537826","https://openalex.org/W2731013142","https://openalex.org/W2761048777","https://openalex.org/W2766149926","https://openalex.org/W2808892732","https://openalex.org/W2809066356","https://openalex.org/W2963286893","https://openalex.org/W2965424794","https://openalex.org/W2978848609","https://openalex.org/W2994113221","https://openalex.org/W2995069428","https://openalex.org/W3012460068","https://openalex.org/W3036374977","https://openalex.org/W3102398605","https://openalex.org/W4240472614"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3158013556","https://openalex.org/W2074717584","https://openalex.org/W4285551356","https://openalex.org/W327603423","https://openalex.org/W3042530036","https://openalex.org/W2072647272","https://openalex.org/W4246323976","https://openalex.org/W2897741391","https://openalex.org/W2984926096"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,24,30,37],"new":[3],"design":[4],"technique":[5,52],"for":[6],"the":[7,20,56,62,69],"stabilization":[8,21],"of":[9,23,68],"coupled":[10],"ODE-PDE":[11],"systems":[12],"in":[13,61],"feedforward":[14],"form.":[15],"In":[16],"particular,":[17],"we":[18],"address":[19],"problem":[22],"one-dimensional":[25],"transport":[26,42],"equation":[27,43],"driven":[28],"by":[29,55],"scalar":[31],"ODE":[32],"which":[33],"is":[34,44,53],"controlled":[35],"via":[36],"cone-bounded":[38],"nonlinearity.":[39],"The":[40,50],"unforced":[41],"conservative":[45],"but":[46],"not":[47],"asymptotically":[48],"stable.":[49],"proposed":[51],"inspired":[54],"forwarding":[57],"approach":[58],"early":[59],"introduced":[60],"90's.":[63],"Well-posedness":[64],"and":[65],"asymptotic":[66],"stability":[67],"closed-loop":[70],"system":[71],"are":[72],"discussed.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}