{"id":"https://openalex.org/W3204094774","doi":"https://doi.org/10.1109/cdc45484.2021.9683496","title":"Stabilizing Integral Delay Dynamics and Hyperbolic Systems using a Fredholm Transformation","display_name":"Stabilizing Integral Delay Dynamics and Hyperbolic Systems using a Fredholm Transformation","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3204094774","doi":"https://doi.org/10.1109/cdc45484.2021.9683496","mag":"3204094774"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683496","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03357334","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066570205","display_name":"Jeanne Redaud","orcid":"https://orcid.org/0000-0001-6890-0409"},"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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jeanne Redaud","raw_affiliation_strings":["CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007129316","display_name":"Jean Auriol","orcid":"https://orcid.org/0000-0002-9203-8182"},"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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Auriol","raw_affiliation_strings":["CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silviu-Iulian Niculescu","raw_affiliation_strings":["CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Inria, CentraleSup\u00e9lec, Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2595","last_page":"2600"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9879999756813049,"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/controllability","display_name":"Controllability","score":0.770483136177063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6345130205154419},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6156952381134033},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6132510304450989},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5943530797958374},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5900444388389587},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.586906909942627},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.5853962898254395},{"id":"https://openalex.org/keywords/fredholm-theory","display_name":"Fredholm theory","score":0.504144549369812},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46919652819633484},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.4383627474308014},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41170576214790344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30913978815078735},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2747061848640442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2519560158252716},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15502101182937622},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15272659063339233},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.1264401078224182}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.770483136177063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6345130205154419},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6156952381134033},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6132510304450989},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5943530797958374},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5900444388389587},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.586906909942627},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.5853962898254395},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.504144549369812},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46919652819633484},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.4383627474308014},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41170576214790344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30913978815078735},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2747061848640442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2519560158252716},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15502101182937622},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15272659063339233},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.1264401078224182},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683496","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683496","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03357334v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03357334","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":"IEEE 60th Conference on Decision and Control (CDC 2021), Dec 2021, Austin, Texas, United States. ⟨10.1109/cdc45484.2021.9683496⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03357334v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03357334","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":"IEEE 60th Conference on Decision and Control (CDC 2021), Dec 2021, Austin, Texas, United States. ⟨10.1109/cdc45484.2021.9683496⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1533970237","https://openalex.org/W1555627060","https://openalex.org/W1587708275","https://openalex.org/W1982830050","https://openalex.org/W1991059830","https://openalex.org/W2006977894","https://openalex.org/W2014131620","https://openalex.org/W2015302594","https://openalex.org/W2036895571","https://openalex.org/W2056384242","https://openalex.org/W2072730822","https://openalex.org/W2140122171","https://openalex.org/W2178205091","https://openalex.org/W2261939373","https://openalex.org/W2337335928","https://openalex.org/W2482021336","https://openalex.org/W2529757039","https://openalex.org/W2580519087","https://openalex.org/W2904539866","https://openalex.org/W2917580745","https://openalex.org/W2963867035","https://openalex.org/W3101743583","https://openalex.org/W3175552343","https://openalex.org/W3208526447","https://openalex.org/W4211202937","https://openalex.org/W4293087381","https://openalex.org/W6756925286"],"related_works":["https://openalex.org/W1500488077","https://openalex.org/W2001947234","https://openalex.org/W2067960113","https://openalex.org/W1996307510","https://openalex.org/W2199927350","https://openalex.org/W2493083010","https://openalex.org/W2224175176","https://openalex.org/W2046943850","https://openalex.org/W4232973813","https://openalex.org/W2141157689"],"abstract_inverted_index":{"In":[0,79],"this":[1,71,84],"paper,":[2],"we":[3,81],"design":[4],"a":[5,11,15,60,88],"stabilizing":[6],"state-feedback":[7],"control":[8,30],"law":[9,31],"for":[10],"system":[12],"represented":[13],"by":[14,105],"general":[16],"class":[17],"of":[18,41,70,90,95],"integral":[19,49,112],"delay":[20],"equations.":[21],"Under":[22],"an":[23,28,76,110],"appropriate":[24],"spectral":[25,91],"controllability":[26],"assumption,":[27],"implementable":[29],"is":[32,36,64,73,87,102],"proposed.":[33],"The":[34,68,93],"approach":[35],"constructive":[37],"and":[38],"makes":[39],"use":[40],"the":[42,48,53,56,96,99,119],"well-known":[43],"backstepping":[44],"methodology.":[45],"Due":[46],"to":[47],"terms":[50],"present":[51],"in":[52],"original":[54],"system,":[55],"proposed":[57],"problem":[58],"requires":[59],"Fredholm":[61,100],"transform,":[62],"which":[63],"not":[65],"always":[66],"invertible.":[67],"invertibility":[69,85],"transformation":[72],"proved":[74,103],"using":[75],"operator":[77],"formulation.":[78],"particular,":[80],"show":[82],"that":[83,107],"property":[86],"consequence":[89],"controllability.":[92],"existence":[94],"kernels":[97],"defining":[98],"transform":[101],"similarly":[104],"showing":[106],"they":[108],"satisfy":[109],"invertible":[111],"equation.":[113],"Some":[114],"test":[115],"case":[116],"simulations":[117],"complete":[118],"paper.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}