{"id":"https://openalex.org/W4407949819","doi":"https://doi.org/10.1109/cdc56724.2024.10886082","title":"Set-Invariance for Discrete-Time Linear Systems with Time-Varying Delay: a Polyhedral Approach","display_name":"Set-Invariance for Discrete-Time Linear Systems with Time-Varying Delay: a Polyhedral Approach","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949819","doi":"https://doi.org/10.1109/cdc56724.2024.10886082"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886082","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062837641","display_name":"Carlos E.T. D\u00f3rea","orcid":"https://orcid.org/0000-0002-3999-2874"},"institutions":[{"id":"https://openalex.org/I35046152","display_name":"Universidade Federal do Rio Grande do Norte","ror":"https://ror.org/04wn09761","country_code":"BR","type":"education","lineage":["https://openalex.org/I35046152"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Carlos E. T. D\u00f3rea","raw_affiliation_strings":["UFRN,Department of Computer Engineering and Automation,Natal,Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UFRN,Department of Computer Engineering and Automation,Natal,Brazil","institution_ids":["https://openalex.org/I35046152"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106497955","display_name":"Sorin Olaru","orcid":"https://orcid.org/0000-0003-3256-9595"},"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/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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sorin Olaru","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec,Laboratoire des signaux et syst&#x00E9;mes,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec,Laboratoire des signaux et syst&#x00E9;mes,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]}]},{"author_position":"middle","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/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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silviu-Iulian Niculescu","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec,Laboratoire des signaux et syst&#x00E9;mes,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec,Laboratoire des signaux et syst&#x00E9;mes,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022375865","display_name":"Eug\u00eanio B. Castelan","orcid":"https://orcid.org/0000-0002-8079-3738"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eug\u00eanio B. Castelan","raw_affiliation_strings":["DAS/POSAUTOMA&#x00E7;O/UFSC,Florian&#x03CC;polis,Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DAS/POSAUTOMA&#x00E7;O/UFSC,Florian&#x03CC;polis,Brazil","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23799599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"640","last_page":"645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9379000067710876,"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/T14420","display_name":"Advanced Research in Systems and Signal Processing","score":0.9108999967575073,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5959950685501099},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.531583845615387},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5153193473815918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5137189626693726},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.47896936535835266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37377604842185974},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3659971356391907},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36136895418167114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32679426670074463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14701500535011292},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12133342027664185},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10356348752975464},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06457608938217163}],"concepts":[{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5959950685501099},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.531583845615387},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5153193473815918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5137189626693726},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.47896936535835266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37377604842185974},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3659971356391907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36136895418167114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32679426670074463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14701500535011292},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12133342027664185},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10356348752975464},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06457608938217163},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886082","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886082","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W180677656","https://openalex.org/W1506119886","https://openalex.org/W1553485908","https://openalex.org/W1983402128","https://openalex.org/W2023234737","https://openalex.org/W2025733943","https://openalex.org/W2081190594","https://openalex.org/W2095233962","https://openalex.org/W2101138302","https://openalex.org/W2118620232","https://openalex.org/W2127580532","https://openalex.org/W2130782545","https://openalex.org/W2344105326","https://openalex.org/W2903896433","https://openalex.org/W3124569876","https://openalex.org/W3211336374","https://openalex.org/W4231039456","https://openalex.org/W4312409738","https://openalex.org/W4391808434"],"related_works":["https://openalex.org/W2066101783","https://openalex.org/W2913519323","https://openalex.org/W1596524038","https://openalex.org/W3123169305","https://openalex.org/W2132623195","https://openalex.org/W17127720","https://openalex.org/W2037383363","https://openalex.org/W2151280696","https://openalex.org/W2320278775","https://openalex.org/W2124572003"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,48],"address":[4],"the":[5,14,20,24,39,58,67,70,74,78,84,90],"positive":[6],"invariance":[7,43,53],"property":[8],"in":[9,13,19,77,114,121],"linear":[10],"discrete-time":[11],"systems":[12],"presence":[15],"of":[16,41,69,73,83,118],"time-varying":[17],"delays":[18],"states.":[21],"We":[22],"build":[23],"study":[25],"on":[26,32],"a":[27,95,115],"recently":[28],"proposed":[29],"approach":[30],"based":[31],"an":[33,104],"appropriate":[34],"model":[35,60],"transformation":[36],"which":[37,97],"allows":[38],"derivation":[40],"delay-dependent":[42],"conditions.":[44],"For":[45],"polyhedral":[46],"sets,":[47],"establish":[49],"necessary":[50],"and":[51,61,110],"sufficient":[52],"conditions":[54,65],"with":[55,101],"respect":[56,102],"to":[57,94,103],"transformed":[59],"prove":[62],"that":[63],"such":[64],"imply":[66],"confinement":[68],"state":[71],"trajectories":[72],"original":[75],"system":[76,107],"set":[79,96],"for":[80],"arbitrary":[81],"realizations":[82],"varying":[85],"delay,":[86,109],"as":[87,89],"long":[88],"initial":[91],"states":[92],"belong":[93],"is":[98],"positively":[99],"invariant":[100],"augmented":[105],"switching":[106],"without":[108],"can":[111],"be":[112],"computed":[113],"finite":[116],"number":[117],"steps":[119],"known":[120],"advance.":[122]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
