{"id":"https://openalex.org/W3212581763","doi":"https://doi.org/10.23919/ecc55457.2022.9838170","title":"Forwarding-Lyapunov design for the stabilization of coupled ODEs and exponentially stable PDEs","display_name":"Forwarding-Lyapunov design for the stabilization of coupled ODEs and exponentially stable PDEs","publication_year":2022,"publication_date":"2022-07-12","ids":{"openalex":"https://openalex.org/W3212581763","doi":"https://doi.org/10.23919/ecc55457.2022.9838170","mag":"3212581763"},"language":"en","primary_location":{"id":"doi:10.23919/ecc55457.2022.9838170","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc55457.2022.9838170","pdf_url":null,"source":{"id":"https://openalex.org/S4363607908","display_name":"2022 European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2111.05028","any_repository_has_fulltext":true},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Swann Marx","raw_affiliation_strings":["LS2N, &#x00C9;cole Centrale de Nantes &#x0026; CNRS UMR,Nantes,France,6004"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LS2N, &#x00C9;cole Centrale de Nantes &#x0026; CNRS UMR,Nantes,France,6004","institution_ids":["https://openalex.org/I100445878","https://openalex.org/I4210117005","https://openalex.org/I1294671590"]}]},{"author_position":"middle","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":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele Astolfi","raw_affiliation_strings":["Univ Lyon, Universit&#x00E9; Claude Bernard Lyon 1 CNRS, LAGEPP UMR,Villeurbanne,France,5007"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, Universit&#x00E9; Claude Bernard Lyon 1 CNRS, LAGEPP UMR,Villeurbanne,France,5007","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I100532134","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082790000","display_name":"Vincent Andrieu","orcid":"https://orcid.org/0000-0003-1877-6205"},"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":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Andrieu","raw_affiliation_strings":["Univ Lyon, Universit&#x00E9; Claude Bernard Lyon 1 CNRS, LAGEPP UMR,Villeurbanne,France,5007"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Lyon, Universit&#x00E9; Claude Bernard Lyon 1 CNRS, LAGEPP UMR,Villeurbanne,France,5007","institution_ids":["https://openalex.org/I4210143168","https://openalex.org/I100532134","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7534,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83494364,"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":"339","last_page":"344"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9932000041007996,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9747999906539917,"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":0.9207535982131958},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.705967366695404},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6392582654953003},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.6271344423294067},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6168159246444702},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5980240702629089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5535988211631775},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.5384218096733093},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.5184504389762878},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47194021940231323},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45173248648643494},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4146053194999695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3342888653278351},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30413955450057983},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09883490204811096},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0952455997467041},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07438322901725769},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06597486138343811}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.9207535982131958},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.705967366695404},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6392582654953003},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.6271344423294067},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6168159246444702},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5980240702629089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5535988211631775},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.5384218096733093},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.5184504389762878},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47194021940231323},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45173248648643494},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4146053194999695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3342888653278351},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30413955450057983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09883490204811096},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0952455997467041},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07438322901725769},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06597486138343811},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc55457.2022.9838170","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc55457.2022.9838170","pdf_url":null,"source":{"id":"https://openalex.org/S4363607908","display_name":"2022 European Control Conference (ECC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2111.05028","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.05028","pdf_url":"https://arxiv.org/pdf/2111.05028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2111.05028","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2111.05028","pdf_url":"https://arxiv.org/pdf/2111.05028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1527296550","https://openalex.org/W1594563152","https://openalex.org/W1771645225","https://openalex.org/W1965099747","https://openalex.org/W1989593999","https://openalex.org/W2043897868","https://openalex.org/W2053311047","https://openalex.org/W2058945808","https://openalex.org/W2107382931","https://openalex.org/W2118360955","https://openalex.org/W2166987719","https://openalex.org/W2171649678","https://openalex.org/W2178205091","https://openalex.org/W2198267436","https://openalex.org/W2761048777","https://openalex.org/W2900809057","https://openalex.org/W2902144114","https://openalex.org/W2964160310","https://openalex.org/W2971260411","https://openalex.org/W2978127696","https://openalex.org/W2994113221","https://openalex.org/W3012460068","https://openalex.org/W3098965773","https://openalex.org/W3101981679","https://openalex.org/W3107543818","https://openalex.org/W3135406146","https://openalex.org/W3183873688","https://openalex.org/W3204391598","https://openalex.org/W3209419027","https://openalex.org/W3212581763","https://openalex.org/W4385875966","https://openalex.org/W6799123764","https://openalex.org/W6801590180"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W3158013556","https://openalex.org/W2151791215","https://openalex.org/W2005786916","https://openalex.org/W2074717584","https://openalex.org/W2379495416","https://openalex.org/W1996632312","https://openalex.org/W2002349705","https://openalex.org/W2047053200"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,37,46,93],"about":[3],"the":[4,40,51,62,83,90],"stabilization":[5],"of":[6],"a":[7,44,67,71,76],"cascade":[8],"system":[9,36,92],"composed":[10],"by":[11],"an":[12,23],"infinite-dimensional":[13,41,56],"system,":[14],"that":[15,28,89],"we":[16,29,87],"suppose":[17,30],"to":[18,31,74],"be":[19,32],"exponentially":[20,95],"stable,":[21],"and":[22,70],"ordinary":[24],"differential":[25],"equation":[26,73],"(ODE),":[27],"marginally":[33],"stable.":[34,96],"The":[35],"controlled":[38],"through":[39],"system.":[42],"Such":[43],"structure":[45],"particularly":[47],"useful":[48],"when":[49],"applying":[50],"internal":[52],"model":[53],"approach":[54],"on":[55,61],"systems.":[57],"Our":[58],"strategy":[59],"relies":[60],"forwarding":[63],"method,":[64],"which":[65],"uses":[66],"Lyapunov":[68],"functional":[69],"Sylvester":[72],"build":[75],"feedback-law.":[77],"Under":[78],"some":[79],"classical":[80],"assumptions":[81],"in":[82],"output":[84],"regulation":[85],"theory,":[86],"prove":[88],"closed-loop":[91],"globally":[94]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
