{"id":"https://openalex.org/W1987756843","doi":"https://doi.org/10.1109/ecc.2014.6862469","title":"Computing the codimension of the singularity at the origin for delay systems in the regular case: A vandermonde-based approach","display_name":"Computing the codimension of the singularity at the origin for delay systems in the regular case: A vandermonde-based approach","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1987756843","doi":"https://doi.org/10.1109/ecc.2014.6862469","mag":"1987756843"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2014.6862469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5016703524","display_name":"Islam Boussaada","orcid":"https://orcid.org/0000-0001-7020-6395"},"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"]},{"id":"https://openalex.org/I58581550","display_name":"Institut Polytechnique des Sciences Avanc\u00e9es","ror":"https://ror.org/050r7zc91","country_code":"FR","type":"education","lineage":["https://openalex.org/I58581550"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Islam Boussaada","raw_affiliation_strings":["IPSA & Laboratoire des signaux et syst\u00e8mes, (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPSA & Laboratoire des signaux et syst\u00e8mes, (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]},{"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":"IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)","institution_ids":["https://openalex.org/I58581550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053571082","display_name":"Dina Irofti","orcid":"https://orcid.org/0000-0002-9254-7980"},"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":"Dina-Alina Irofti","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8mes (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, 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":"Laboratoire des signaux et syst\u00e8mes (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]},{"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/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":["Laboratoire des signaux et syst\u00e8mes (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, France","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec\r\n3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - 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":"Laboratoire des signaux et syst\u00e8mes (L2S, UMR CNRS 8506), Gif-sur-Yvette cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec\r\n3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["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":20,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"97","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9966999888420105,"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/codimension","display_name":"Codimension","score":0.7915514707565308},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7196574807167053},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.6769397258758545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6413618326187134},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.60682612657547},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.4967532753944397},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.457004189491272},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44805335998535156},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4221947193145752},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3795870244503021}],"concepts":[{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.7915514707565308},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7196574807167053},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.6769397258758545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6413618326187134},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.60682612657547},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4967532753944397},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.457004189491272},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44805335998535156},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4221947193145752},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3795870244503021}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ecc.2014.6862469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01123598v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01123598","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Control Conference (ECC), 2014, Jun 2014, Strasbourg, France. &#x27E8;10.1109/ECC.2014.6862469&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-01123621v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01123621","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"21st International Symposium on Mathematical Theory of Networks and Systems July 7-11, 2014. Groningen, The Netherlands, Jul 2014, Groningen, Netherlands. &#x27E8;10.1109/ecc.2014.6862469&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W146218766","https://openalex.org/W1596321532","https://openalex.org/W1607633954","https://openalex.org/W2002214649","https://openalex.org/W2013160181","https://openalex.org/W2017776242","https://openalex.org/W2020036650","https://openalex.org/W2057388390","https://openalex.org/W2089800248","https://openalex.org/W2147142195","https://openalex.org/W2152625276","https://openalex.org/W2167854544","https://openalex.org/W2319466955","https://openalex.org/W2525143841","https://openalex.org/W4206651839","https://openalex.org/W4213264637","https://openalex.org/W4241642706","https://openalex.org/W4293087381","https://openalex.org/W6635699308","https://openalex.org/W6700035660"],"related_works":["https://openalex.org/W2050260353","https://openalex.org/W4301803444","https://openalex.org/W2963801550","https://openalex.org/W2952324651","https://openalex.org/W1984793818","https://openalex.org/W4287265842","https://openalex.org/W2890166983","https://openalex.org/W2057228869","https://openalex.org/W4289542743","https://openalex.org/W2726339783"],"abstract_inverted_index":{"The":[0,40],"analysis":[1],"of":[2,13,24,29,69,77,81,87,93],"time-delay":[3,113],"systems":[4,114],"mainly":[5],"relies":[6],"on":[7],"the":[8,11,14,20,25,34,67,70,75,78,85,88,91,102,120],"identification":[9],"and":[10,54,131],"understanding":[12],"spectral":[15,36,72],"values":[16],"bifurcations":[17],"when":[18,33],"crossing":[19],"imaginary":[21],"axis.":[22],"One":[23],"most":[26],"important":[27],"type":[28],"such":[30,44,94],"singularities":[31],"is":[32,38,47],"zero":[35,71],"value":[37,73],"multiple.":[39],"simplest":[41],"case":[42],"in":[43,64,101,119],"a":[45,55,95,124],"configuration":[46],"characterized":[48,118],"by":[49,123],"an":[50,107],"algebraic":[51],"multiplicity":[52,57,96],"two":[53],"geometric":[56],"one":[58],"known":[59],"as":[60],"Bogdanov-Takens":[61],"singularity.":[62],"Moreover,":[63],"some":[65],"circumstances":[66],"codimension":[68],"exceeds":[74],"dimension":[76],"delay-free":[79],"system":[80],"differential":[82],"equations.":[83],"To":[84],"best":[86],"authors'":[89],"knowledge,":[90],"bound":[92],"was":[97],"not":[98],"deeply":[99],"investigated":[100],"literature.":[103],"This":[104],"paper":[105],"provides":[106],"answer":[108],"to":[109],"this":[110],"question":[111],"for":[112],"with":[115,127],"linear":[116],"part":[117],"Laplace":[121],"domain":[122],"quasipolynomial":[125],"function":[126],"non":[128],"sparse":[129],"polynomials":[130],"without":[132],"coupling":[133],"delays.":[134]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
