{"id":"https://openalex.org/W4381743760","doi":"https://doi.org/10.1093/imamci/dnad020","title":"A complete characterization of minima of the spectral abscissa and rightmost roots of second-order systems with input delay","display_name":"A complete characterization of minima of the spectral abscissa and rightmost roots of second-order systems with input delay","publication_year":2023,"publication_date":"2023-06-21","ids":{"openalex":"https://openalex.org/W4381743760","doi":"https://doi.org/10.1093/imamci/dnad020"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnad020","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnad020","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-04196433/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008378186","display_name":"Wim Michiels","orcid":"https://orcid.org/0000-0002-0877-0080"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Wim Michiels","raw_affiliation_strings":["Department of Computer Science, KU Leuven , 3001 Leuven , Belgium"],"raw_orcid":"https://orcid.org/0000-0002-0877-0080","affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven , 3001 Leuven , Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"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/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/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, Universit\u00e9 Paris-Saclay, Inria Saclay CNRS, CentraleSup\u00e9lec , 91192 Gif-sur-Yvette , France"],"raw_orcid":"https://orcid.org/0000-0002-3444-2566","affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Inria Saclay CNRS, CentraleSup\u00e9lec , 91192 Gif-sur-Yvette , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210107720"]}]},{"author_position":"last","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/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/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","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":["Institut Polytechnique des Sciences Avanc\u00e9es (IPSA) , 94200 Ivry-sur-Seine , France","Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Inria Saclay CNRS, CentraleSup\u00e9lec , 91192 Gif-sur-Yvette , France"],"raw_orcid":"https://orcid.org/0000-0001-7020-6395","affiliations":[{"raw_affiliation_string":"Institut Polytechnique des Sciences Avanc\u00e9es (IPSA) , 94200 Ivry-sur-Seine , France","institution_ids":["https://openalex.org/I58581550"]},{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes, Universit\u00e9 Paris-Saclay, Inria Saclay CNRS, CentraleSup\u00e9lec , 91192 Gif-sur-Yvette , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210107720"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008378186"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.5797,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60710564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"40","issue":"3","first_page":"403","last_page":"428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9962000250816345,"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":0.9961000084877014,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.81575608253479},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.7914124727249146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.768119215965271},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47803980112075806},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.45414257049560547},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4511505663394928},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44461163878440857},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4245308041572571},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4239533543586731},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21723809838294983},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2016156017780304}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.81575608253479},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.7914124727249146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.768119215965271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47803980112075806},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.45414257049560547},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4511505663394928},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44461163878440857},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4245308041572571},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4239533543586731},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21723809838294983},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2016156017780304},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/imamci/dnad020","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnad020","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04196433v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-04196433","pdf_url":"https://centralesupelec.hal.science/hal-04196433/document","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":"IMA Journal of Mathematical Control and Information, 2023, &#x27E8;10.1093/imamci/dnad020&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/721029","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/721029","pdf_url":"https://lirias.kuleuven.be/retrieve/2069ffc6-b531-40c7-9fa2-6a17576ef212","source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ima Journal Of Mathematical Control And Information, vol. 40 (3), (403-428)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04196433v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-04196433","pdf_url":"https://centralesupelec.hal.science/hal-04196433/document","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":"IMA Journal of Mathematical Control and Information, 2023, &#x27E8;10.1093/imamci/dnad020&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2636451826","display_name":null,"funder_award_id":"C14/22/092","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3875717880","display_name":"Control oriented analysis of linear periodic delay-differential algebraic equations","funder_award_id":"G092721N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6699614996","display_name":null,"funder_award_id":"G092721N","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G8209045668","display_name":null,"funder_award_id":"C14/22/092","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4381743760.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W159964344","https://openalex.org/W2003115626","https://openalex.org/W2014709812","https://openalex.org/W2066784548","https://openalex.org/W2073210841","https://openalex.org/W2095424008","https://openalex.org/W2102591969","https://openalex.org/W2116937896","https://openalex.org/W2144271726","https://openalex.org/W2400551844","https://openalex.org/W2521304522","https://openalex.org/W2902513042","https://openalex.org/W2995025460","https://openalex.org/W3005705718","https://openalex.org/W3043018617","https://openalex.org/W3215539963","https://openalex.org/W3216340366","https://openalex.org/W4221126093","https://openalex.org/W4226017546","https://openalex.org/W4292003047","https://openalex.org/W4295971410","https://openalex.org/W4296367229","https://openalex.org/W4367845328","https://openalex.org/W6852372239"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W2121922170","https://openalex.org/W4210838092","https://openalex.org/W2127982566","https://openalex.org/W2153731865","https://openalex.org/W1504381128","https://openalex.org/W2471196694","https://openalex.org/W1985711950"],"abstract_inverted_index":{"Abstract":[0],"The":[1,104],"numerical":[2,80],"minimization":[3],"of":[4,9,76,85,88,107,131,138,143],"the":[5,41,50,64,86,108,121,129,136,144],"spectral":[6,111,145],"abscissa":[7,112,146],"function":[8],"linear":[10],"time-invariant":[11],"time-delay":[12],"systems,":[13],"an":[14,69],"established":[15],"approach":[16],"to":[17,28,140],"compute":[18],"stabilizing":[19],"controllers":[20],"with":[21,35,91],"a":[22,58,82],"fixed":[23],"structure,":[24],"often":[25],"gives":[26],"rise":[27],"minima":[29],"characterized":[30],"by":[31],"active":[32],"characteristic":[33,77],"roots":[34,78,134],"multiplicity":[36,52,61],"higher":[37],"than":[38],"one.":[39],"At":[40],"same":[42],"time,":[43],"recent":[44],"theoretical":[45],"results":[46,117],"reveal":[47],"situations":[48],"where":[49],"so-called":[51],"induced":[53],"dominancy":[54],"property":[55,130,137],"holds,":[56],"i.e.,":[57],"sufficiently":[59],"high":[60],"implies":[62],"that":[63],"root":[65],"is":[66,94],"dominant.":[67],"Using":[68],"integrative":[70],"approach,":[71],"combining":[72],"analytical":[73],"characterizations,":[74],"computation":[75],"and":[79,100,135],"optimization,":[81],"complete":[83],"characterization":[84],"stabilizability":[87],"second-order":[89],"systems":[90],"input":[92],"delays":[93],"provided,":[95],"for":[96],"both":[97],"state":[98],"feedback":[99],"delayed":[101],"output":[102],"feedback.":[103],"level":[105],"sets":[106],"minimal":[109],"achievable":[110],"are":[113],"also":[114],"characterized.":[115],"These":[116],"shed":[118],"light":[119],"on":[120],"complex":[122],"relations":[123],"between":[124],"(configurations":[125],"involving)":[126],"multiple":[127],"roots,":[128],"being":[132],"dominant":[133],"corresponding":[139],"(local/global)":[141],"minimizers":[142],"function.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":5}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
