{"id":"https://openalex.org/W3131175788","doi":"https://doi.org/10.1109/tac.2021.3059103","title":"In-Domain Stabilization of Block Diagonal Infinite-Dimensional Systems With Time-Varying Input Delays","display_name":"In-Domain Stabilization of Block Diagonal Infinite-Dimensional Systems With Time-Varying Input Delays","publication_year":2021,"publication_date":"2021-02-13","ids":{"openalex":"https://openalex.org/W3131175788","doi":"https://doi.org/10.1109/tac.2021.3059103","mag":"3131175788"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3059103","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3059103","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-03147533","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/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":true,"raw_author_name":"Hugo Lhachemi","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8mes (L2S), CentraleSup\u00e9lec, Gif-sur-Yvette, France","Laboratoire des signaux et syst\u00e8mes","CentraleSup\u00e9lec"],"affiliations":[{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes (L2S), CentraleSup\u00e9lec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"CentraleSup\u00e9lec","institution_ids":["https://openalex.org/I4210107720"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"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/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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["Universit\u00e9 Grenoble Alpes, CNRS, Grenoble-INP, GIPSA-lab, Grenoble, France","GIPSA - Infinite Dimensional Dynamics"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Grenoble Alpes, CNRS, Grenoble-INP, GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"GIPSA - Infinite Dimensional Dynamics","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036373073","display_name":"Robert Shorten","orcid":"https://orcid.org/0000-0002-9239-2499"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]},{"id":"https://openalex.org/I4210089887","display_name":"Dyson (United Kingdom)","ror":"https://ror.org/00a4npp83","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210089887"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB","IE"],"is_corresponding":false,"raw_author_name":"Robert Shorten","raw_affiliation_strings":["Dyson School of Design Engineering, Imperial College London, London, U.K","School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland","Imperial College London"],"affiliations":[{"raw_affiliation_string":"Dyson School of Design Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984","https://openalex.org/I4210089887"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Imperial College London","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068283066"],"corresponding_institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I4210107720"],"apc_list":null,"apc_paid":null,"fwci":0.4148,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.58891865,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"66","issue":"12","first_page":"6017","last_page":"6024"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9972000122070312,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/control-theory","display_name":"Control theory (sociology)","score":0.7589498162269592},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7161546349525452},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7152422070503235},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5249956846237183},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4996764659881592},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.49825119972229004},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4891974925994873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4481838047504425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4311946928501129},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4305305480957031},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.365348756313324},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3543582558631897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15635418891906738}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7589498162269592},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7161546349525452},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7152422070503235},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5249956846237183},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4996764659881592},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.49825119972229004},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4891974925994873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4481838047504425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4311946928501129},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4305305480957031},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.365348756313324},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3543582558631897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15635418891906738},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2021.3059103","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3059103","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03147533v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-03147533","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 Transactions on Automatic Control, 2021, 66 (12), pp.6017-6024. &#x27E8;10.1109/TAC.2021.3059103&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03147533v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-03147533","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 Transactions on Automatic Control, 2021, 66 (12), pp.6017-6024. &#x27E8;10.1109/TAC.2021.3059103&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G6379634918","display_name":null,"funder_award_id":"16/RC/3872","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G6445168105","display_name":null,"funder_award_id":"16/IA/4610","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1970177947","https://openalex.org/W1988098342","https://openalex.org/W2024485466","https://openalex.org/W2032766396","https://openalex.org/W2062362860","https://openalex.org/W2078948667","https://openalex.org/W2134114731","https://openalex.org/W2140134500","https://openalex.org/W2227150130","https://openalex.org/W2240200961","https://openalex.org/W2288403349","https://openalex.org/W2478640404","https://openalex.org/W2605745751","https://openalex.org/W2731013142","https://openalex.org/W2765520046","https://openalex.org/W2771039678","https://openalex.org/W2793667768","https://openalex.org/W2914137874","https://openalex.org/W2947018507","https://openalex.org/W2962715862","https://openalex.org/W2969321532","https://openalex.org/W2970901879","https://openalex.org/W2981112490","https://openalex.org/W3007252290","https://openalex.org/W3010836620","https://openalex.org/W3108832690","https://openalex.org/W3156601627","https://openalex.org/W6681202733","https://openalex.org/W6689047758","https://openalex.org/W6721572746"],"related_works":["https://openalex.org/W1529195008","https://openalex.org/W2070323717","https://openalex.org/W2034395027","https://openalex.org/W2053005959","https://openalex.org/W3157489721","https://openalex.org/W2028994362","https://openalex.org/W2144143333","https://openalex.org/W38983538","https://openalex.org/W2299538996","https://openalex.org/W2924468784"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,43,57,103,138],"concerned":[3],"with":[4],"the":[5,17,26,47,54,61,70,91,95,107,110,114,121,125,132],"in-domain":[6],"stabilization":[7],"of":[8,11,19,94,109,113,127],"a":[9,39,64,76,82],"class":[10],"block":[12],"diagonal":[13],"infinite-dimensional":[14,97],"systems":[15],"in":[16,25,75,131],"presence":[18],"an":[20],"uncertain":[21,115],"and":[22,116],"time-varying":[23,117],"delay":[24],"distributed":[27,45],"control":[28,40,55,71,135],"input.":[29],"Two":[30],"actuation":[31,123],"schemes":[32],"are":[33],"considered.":[34,139],"The":[35,49,99],"first":[36],"one":[37,51],"assumes":[38,52],"input":[41,56,118,129,136],"that":[42,53],"fully":[44],"over":[46,60],"domain.":[48],"second":[50,122],"finite-dimensional,":[58],"acting":[59],"domain":[62],"via":[63],"bounded":[65],"operator.":[66],"In":[67,120],"both":[68],"cases,":[69],"design":[72],"strategy":[73],"consists":[74],"predictor":[77,100],"feedback":[78,101],"law":[79,102],"synthesized":[80],"on":[81,106],"finite-dimensional":[83],"truncated":[84],"linear":[85],"time":[86],"invariant":[87],"(LTI)":[88],"model":[89],"capturing":[90],"unstable":[92],"dynamics":[93],"original":[96],"system.":[98],"designed":[104],"based":[105],"knowledge":[108],"nominal":[111],"value":[112],"delay.":[119],"scheme,":[124],"case":[126],"distinct":[128],"delays":[130],"different":[133],"scalar":[134],"channels":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
