{"id":"https://openalex.org/W4280538943","doi":"https://doi.org/10.23919/ecc55457.2022.9837995","title":"Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay","display_name":"Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay","publication_year":2022,"publication_date":"2022-07-12","ids":{"openalex":"https://openalex.org/W4280538943","doi":"https://doi.org/10.23919/ecc55457.2022.9837995"},"language":"en","primary_location":{"id":"doi:10.23919/ecc55457.2022.9837995","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc55457.2022.9837995","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03665175","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068283066","display_name":"Hugo Lhachemi","orcid":"https://orcid.org/0000-0002-2782-4208"},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hugo Lhachemi","raw_affiliation_strings":["Université Paris-Saclay, CNRS, CentraleSupelec, Laboratoire des signaux et systemes,Gif- sur-Yvette,France,91190"],"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CNRS, CentraleSupelec, Laboratoire des signaux et systemes,Gif- sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I1294671590"]}]},{"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/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","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":["Universite Grenoble Alpes, CNRS, Grenoble-INP, GIPSA-lab,Grenoble,France,F-38000"],"affiliations":[{"raw_affiliation_string":"Universite Grenoble Alpes, CNRS, Grenoble-INP, GIPSA-lab,Grenoble,France,F-38000","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068283066"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720"],"apc_list":null,"apc_paid":null,"fwci":0.3539,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.36976744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"321","last_page":"326"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9908000230789185,"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/control-theory","display_name":"Control theory (sociology)","score":0.7031317949295044},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6952669024467468},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6951452493667603},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.6021130084991455},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.544920802116394},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5220232605934143},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4982728958129883},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4957641065120697},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4731869697570801},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4581926763057709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4395908713340759},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4154946804046631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37563467025756836},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35602259635925293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17777737975120544},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16356152296066284},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.10984432697296143},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10457897186279297},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06880173087120056}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7031317949295044},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6952669024467468},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6951452493667603},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.6021130084991455},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.544920802116394},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5220232605934143},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4982728958129883},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4957641065120697},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4731869697570801},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4581926763057709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4395908713340759},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4154946804046631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37563467025756836},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35602259635925293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17777737975120544},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16356152296066284},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.10984432697296143},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10457897186279297},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06880173087120056},{"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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc55457.2022.9837995","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc55457.2022.9837995","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:HAL:hal-03665175v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03665175","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":"https://ecc22.euca-ecc.org/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03665175v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03665175","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":"https://ecc22.euca-ecc.org/","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1527296550","https://openalex.org/W1937698844","https://openalex.org/W1969363190","https://openalex.org/W1987089714","https://openalex.org/W1988098342","https://openalex.org/W2014929073","https://openalex.org/W2020622868","https://openalex.org/W2021731075","https://openalex.org/W2036831763","https://openalex.org/W2058666951","https://openalex.org/W2066096538","https://openalex.org/W2076224259","https://openalex.org/W2095095978","https://openalex.org/W2134114731","https://openalex.org/W2151637703","https://openalex.org/W2152422662","https://openalex.org/W2261939373","https://openalex.org/W2337335928","https://openalex.org/W2593108859","https://openalex.org/W2605745751","https://openalex.org/W2606481864","https://openalex.org/W2807517626","https://openalex.org/W2914137874","https://openalex.org/W2953434406","https://openalex.org/W2962715862","https://openalex.org/W2966452828","https://openalex.org/W2970901879","https://openalex.org/W2973783944","https://openalex.org/W2999900306","https://openalex.org/W3007252290","https://openalex.org/W3010836620","https://openalex.org/W3026683940","https://openalex.org/W3089241465","https://openalex.org/W3101743583","https://openalex.org/W3102234431","https://openalex.org/W3106329704","https://openalex.org/W3131175788","https://openalex.org/W3152794626","https://openalex.org/W3163836765","https://openalex.org/W3167105713","https://openalex.org/W3175074519","https://openalex.org/W3207582864","https://openalex.org/W4385384480"],"related_works":["https://openalex.org/W2334516743","https://openalex.org/W2486306719","https://openalex.org/W2106487132","https://openalex.org/W2369282358","https://openalex.org/W2482257683","https://openalex.org/W3084017105","https://openalex.org/W2001368270","https://openalex.org/W3022029778","https://openalex.org/W2019249007","https://openalex.org/W2891289036"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,12,26,35,41,52,102,105],"boundary":[4,22,28,32,43,53],"output":[5,37],"feedback":[6,71],"stabilization":[7],"of":[8,14,104],"reaction-diffusion":[9],"PDEs":[10],"in":[11],"presence":[13],"an":[15],"arbitrarily":[16],"long":[17],"distributed":[18,56],"input":[19,49],"delay.":[20],"The":[21,46,64],"control":[23,48,66],"applies":[24,50],"at":[25],"right":[27],"through":[29],"a":[30,55,60,69,81,85],"Robin":[31],"con-dition":[33],"while":[34],"system":[36],"is":[38,78,107],"selected":[39,108],"as":[40],"left":[42],"Dirichlet":[44],"trace.":[45],"actual":[47],"to":[51,97,109],"via":[54],"delay":[57],"spanning":[58],"over":[59],"finite":[61],"time":[62],"interval.":[63],"proposed":[65],"strategy":[67],"leverages":[68],"predictor":[70],"relying":[72],"on":[73],"Artstein's":[74],"reduction":[75],"method":[76],"and":[77,94],"coupled":[79],"with":[80],"finite-dimensional":[82],"observer.":[83],"Provided":[84],"structural":[86],"controllabil-ity":[87],"assumption,":[88],"sufficient":[89],"stability":[90],"condition":[91],"are":[92,95],"derived":[93],"shown":[96],"be":[98,110],"always":[99],"feasible":[100],"provided":[101],"order":[103],"observer":[106],"large":[111],"enough.":[112]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}