{"id":"https://openalex.org/W3174231976","doi":"https://doi.org/10.1137/20m1350066","title":"Output Feedback Control of a Cascade System of Linear Korteweg--de Vries Equations","display_name":"Output Feedback Control of a Cascade System of Linear Korteweg--de Vries Equations","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3174231976","doi":"https://doi.org/10.1137/20m1350066","mag":"3174231976"},"language":"en","primary_location":{"id":"doi:10.1137/20m1350066","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1350066","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-03189155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051027807","display_name":"Constantinos Kitsos","orcid":"https://orcid.org/0000-0001-5108-090X"},"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/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"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Constantinos Kitsos","raw_affiliation_strings":["GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025499546","display_name":"Eduardo Cerpa","orcid":"https://orcid.org/0000-0001-9974-324X"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Eduardo Cerpa","raw_affiliation_strings":["UC - Pontificia Universidad Cat\u00f3lica de Chile (Av Libertador Bernardo O'Higgins 340, Santiago, Regi\u00f3n Metropolitana, Chili - Chile)"],"affiliations":[{"raw_affiliation_string":"UC - Pontificia Universidad Cat\u00f3lica de Chile (Av Libertador Bernardo O'Higgins 340, Santiago, Regi\u00f3n Metropolitana, Chili - Chile)","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065181808","display_name":"Gildas Besan\u00e7on","orcid":"https://orcid.org/0000-0001-5701-6255"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gildas Besan\u00e7on","raw_affiliation_strings":["GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology (46 avenue F\u00e9lix Viallet 38031 Grenoble Cedex 1 - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology (46 avenue F\u00e9lix Viallet 38031 Grenoble Cedex 1 - France)","institution_ids":["https://openalex.org/I106785703"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"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/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051027807"],"corresponding_institution_ids":["https://openalex.org/I190497903","https://openalex.org/I4210124956"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07085522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"4","first_page":"2955","last_page":"2976"},"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":0.9993000030517578,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8194148540496826},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.8087093830108643},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.590865433216095},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5606555342674255},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4957205057144165},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.4803429841995239},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.4725848436355591},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4678274989128113},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4275561571121216},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41584742069244385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3708686828613281},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.33980792760849},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3264666199684143},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30964982509613037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0829380452632904},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06776660680770874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8194148540496826},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.8087093830108643},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.590865433216095},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5606555342674255},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4957205057144165},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.4803429841995239},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.4725848436355591},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4678274989128113},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4275561571121216},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41584742069244385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3708686828613281},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.33980792760849},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3264666199684143},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30964982509613037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0829380452632904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06776660680770874},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control 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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/20m1350066","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1350066","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03189155v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03189155","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0363-0129","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03189155v2","is_oa":false,"landing_page_url":"https://hal.science/hal-03189155","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://epubs.siam.org/doi/abs/10.1137/20M1350066","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03189155v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03189155","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0363-0129","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G4489536756","display_name":null,"funder_award_id":"1180528","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G5105708606","display_name":null,"funder_award_id":"C16E06","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W46317803","https://openalex.org/W1980351610","https://openalex.org/W1990834757","https://openalex.org/W2005227718","https://openalex.org/W2035795093","https://openalex.org/W2066888772","https://openalex.org/W2088972986","https://openalex.org/W2091019995","https://openalex.org/W2114920878","https://openalex.org/W2124437009","https://openalex.org/W2136187884","https://openalex.org/W2295521536","https://openalex.org/W2463832500","https://openalex.org/W2521163219","https://openalex.org/W2522650499","https://openalex.org/W2608246030","https://openalex.org/W2896557877","https://openalex.org/W2963800136","https://openalex.org/W2970169599"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W2027202866","https://openalex.org/W1971748923","https://openalex.org/W3149920197","https://openalex.org/W2060986072","https://openalex.org/W4293569346","https://openalex.org/W1566155057","https://openalex.org/W2397056152","https://openalex.org/W2949885877","https://openalex.org/W4252904065"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"about":[3],"the":[4,28,32,36,40,43,58,76,85,96,105],"stabilization":[5,91],"of":[6,10,31,79],"a":[7,17,54,63,80],"cascade":[8],"system":[9],"$n$":[11,94],"linear":[12],"Korteweg--de":[13],"Vries":[14],"equations":[15],"in":[16],"bounded":[18],"interval.":[19],"It":[20],"considers":[21],"an":[22],"output":[23,37,86],"feedback":[24,72,87],"control":[25,48,56,73,88],"placed":[26],"at":[27],"left":[29],"endpoint":[30],"last":[33],"equation,":[34],"while":[35],"involves":[38],"only":[39],"solution":[41],"to":[42,90],"first":[44,97],"equation.":[45],"The":[46,71],"boundary":[47,60,98],"problems":[49],"investigated":[50],"include":[51],"two":[52],"cases:":[53],"classical":[55],"on":[57,67],"Dirichlet":[59],"condition":[61],"and":[62,84,101],"less":[64],"standard":[65],"one":[66],"its":[68],"second-order":[69],"derivative.":[70],"law":[74],"utilizes":[75],"estimated":[77],"solutions":[78],"high-gain":[81],"observer":[82],"system,":[83],"leads":[89],"for":[92,95,102,104],"any":[93],"conditions":[99],"case":[100],"$n=2$":[103],"second":[106],"one.":[107]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}