{"id":"https://openalex.org/W1567317070","doi":"https://doi.org/10.23919/ecc.2009.7075152","title":"Invariant sets for a class of linear systems with variable time-delay","display_name":"Invariant sets for a class of linear systems with variable time-delay","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1567317070","doi":"https://doi.org/10.23919/ecc.2009.7075152","mag":"1567317070"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7075152","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7075152","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 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/A5084469333","display_name":"Warody Lombardi","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Warody Lombardi","raw_affiliation_strings":["Automatic Control Department, SUPELEC, France","SUPELEC-CNRS, Laboratory of Signals and Systems, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Department, SUPELEC, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"SUPELEC-CNRS, Laboratory of Signals and Systems, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1294671590"]}]},{"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/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sorin Olaru","raw_affiliation_strings":["Automatic Control Department, SUPELEC, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Department, SUPELEC, France","institution_ids":["https://openalex.org/I102475099"]}]},{"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/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silviu Iulian Niculescu","raw_affiliation_strings":["SUPELEC-CNRS, Laboratory of Signals and Systems, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC-CNRS, Laboratory of Signals and Systems, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4757","last_page":"4762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9986000061035156,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9986000061035156,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980000257492065,"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/T11236","display_name":"Control Systems and Identification","score":0.9930999875068665,"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/control-theory","display_name":"Control theory (sociology)","score":0.6560732126235962},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.6283601522445679},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5850442051887512},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5782851576805115},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5394222736358643},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5315152406692505},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4853023886680603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4822543263435364},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.47217339277267456},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4451441466808319},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43242427706718445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4302380681037903},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18133583664894104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09425568580627441},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08307304978370667}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6560732126235962},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6283601522445679},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5850442051887512},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5782851576805115},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5394222736358643},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5315152406692505},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4853023886680603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4822543263435364},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.47217339277267456},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4451441466808319},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43242427706718445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4302380681037903},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18133583664894104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09425568580627441},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08307304978370667},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2009.7075152","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7075152","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W4386631510","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W1990421243","https://openalex.org/W2105658174","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3],"the":[4,17,23,29,54,61,79],"control":[5],"of":[6,9,19,53],"a":[7,36,41,46,66,72],"class":[8],"linear":[10],"systems":[11],"with":[12],"polytopic":[13,37],"uncertainty":[14],"to":[15,44,64],"model":[16],"presence":[18],"variable":[20],"delay":[21],"affecting":[22],"input.":[24],"It":[25],"is":[26,49,57],"shown":[27],"that":[28],"embedding":[30],"problem":[31,39],"can":[32],"be":[33],"casted":[34],"as":[35],"containment":[38],"and":[40],"new":[42],"approach":[43],"construct":[45],"simplex":[47],"enclosure":[48],"proposed.":[50],"The":[51],"stability":[52],"closed-loop":[55],"system":[56],"guaranteed":[58],"by":[59],"forcing":[60],"state":[62],"trajectories":[63],"attain":[65],"robust":[67],"positively":[68],"invariant":[69],"set":[70],"in":[71],"given":[73],"prediction":[74],"window.":[75],"Illustrative":[76],"examples":[77],"complete":[78],"paper.":[80]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}