{"id":"https://openalex.org/W3193314074","doi":"https://doi.org/10.1109/tac.2021.3096927","title":"Linear Time-Invariant Discrete Delay Systems in Laguerre Domain","display_name":"Linear Time-Invariant Discrete Delay Systems in Laguerre Domain","publication_year":2021,"publication_date":"2021-08-24","ids":{"openalex":"https://openalex.org/W3193314074","doi":"https://doi.org/10.1109/tac.2021.3096927","mag":"3193314074"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3096927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3096927","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://inria.hal.science/hal-03323475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043092463","display_name":"Alexander Medvedev","orcid":"https://orcid.org/0000-0002-6608-250X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Alexander V. Medvedev","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034670385","display_name":"Viktor Bro","orcid":"https://orcid.org/0000-0001-8754-3056"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Viktor Bro","raw_affiliation_strings":["Department of Information Technology, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041977418","display_name":"Rosane Ushirobira","orcid":"https://orcid.org/0000-0001-9758-5743"},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rosane Ushirobira","raw_affiliation_strings":["Inria, Centre de Recherche en Informatique, Signal et Automatique de Lille, Centre National de la Recherche Scientifique, UMR 9189, Universit&#x00E9; de Lille, Lille, France"],"affiliations":[{"raw_affiliation_string":"Inria, Centre de Recherche en Informatique, Signal et Automatique de Lille, Centre National de la Recherche Scientifique, UMR 9189, Universit&#x00E9; de Lille, Lille, France","institution_ids":["https://openalex.org/I4210115519"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043092463"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":0.9705,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75267419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"67","issue":"5","first_page":"2677","last_page":"2683"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9890000224113464,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9854000210762024,"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/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.9806842803955078},{"id":"https://openalex.org/keywords/laguerres-method","display_name":"Laguerre's method","score":0.7792028784751892},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6019071340560913},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5491670370101929},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5044692754745483},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4888302683830261},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.471293568611145},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.45132556557655334},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4438716173171997},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.39144569635391235},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.384167343378067},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3792596161365509},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3074323534965515},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.2944685220718384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2793719172477722},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.1357468068599701}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.9806842803955078},{"id":"https://openalex.org/C43475892","wikidata":"https://www.wikidata.org/wiki/Q1171964","display_name":"Laguerre's method","level":4,"score":0.7792028784751892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6019071340560913},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5491670370101929},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5044692754745483},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4888302683830261},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.471293568611145},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.45132556557655334},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4438716173171997},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.39144569635391235},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.384167343378067},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3792596161365509},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3074323534965515},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.2944685220718384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2793719172477722},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.1357468068599701},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2021.3096927","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3096927","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-03323475v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03323475","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, 2022, 67, pp.2677 - 2683. &#x27E8;10.1109/TAC.2021.3096927&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/56853","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/56853","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03323475v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03323475","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, 2022, 67, pp.2677 - 2683. &#x27E8;10.1109/TAC.2021.3096927&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8702313569","display_name":null,"funder_award_id":"2019-04451","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W1032628850","https://openalex.org/W1982821361","https://openalex.org/W1994269633","https://openalex.org/W2010682333","https://openalex.org/W2054616108","https://openalex.org/W2070892347","https://openalex.org/W2096893164","https://openalex.org/W2101610188","https://openalex.org/W2122438213","https://openalex.org/W2130212796","https://openalex.org/W2161398593","https://openalex.org/W2195696993","https://openalex.org/W2563702029","https://openalex.org/W2792698415","https://openalex.org/W2965132287","https://openalex.org/W3039418504","https://openalex.org/W3120552712","https://openalex.org/W4235848843","https://openalex.org/W4283368292","https://openalex.org/W4295022726"],"related_works":["https://openalex.org/W1515881615","https://openalex.org/W2038558186","https://openalex.org/W4384817913","https://openalex.org/W4286111066","https://openalex.org/W1493431396","https://openalex.org/W3050963079","https://openalex.org/W2007212821","https://openalex.org/W2471338065","https://openalex.org/W2126308770","https://openalex.org/W2004181861"],"abstract_inverted_index":{"This":[0],"article":[1],"provides":[2],"the":[3,6,10,21,35,42,53,56,61],"formulas":[4],"connecting":[5],"Laguerre":[7,22],"spectrum":[8,23,58],"of":[9,13,24,49,55,63,71],"output":[11,57],"signal":[12,37],"a":[14,80],"linear":[15],"discrete-time":[16],"time-invariant":[17],"delay":[18,65],"system":[19,30,43],"to":[20,60],"its":[25],"input":[26,36],"signal.":[27],"The":[28,75],"Laguerre-domain":[29],"representation":[31],"is":[32,38,44,66],"meaningful":[33],"when":[34],"square":[39],"summable,":[40],"and":[41,68],"stable.":[45],"A":[46],"certain":[47],"type":[48],"polynomials":[50,76],"arising":[51],"in":[52],"evaluation":[54],"due":[59],"presence":[62],"time":[64],"defined,":[67],"key":[69],"properties":[70],"these":[72],"are":[73,77],"investigated.":[74],"characterized":[78],"by":[79],"three-term":[81],"recurrence":[82],"relation":[83],"that":[84],"also":[85],"facilitates":[86],"their":[87],"numerically":[88],"reliable":[89],"calculation.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
