{"id":"https://openalex.org/W2143544563","doi":"https://doi.org/10.1109/cdc.2007.4434374","title":"Towards uniform linear time-invariant stabilization of systems with persistency of excitation","display_name":"Towards uniform linear time-invariant stabilization of systems with persistency of excitation","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2143544563","doi":"https://doi.org/10.1109/cdc.2007.4434374","mag":"2143544563"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434374","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434374","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5058680776","display_name":"Antoine Chaillet","orcid":"https://orcid.org/0000-0003-4095-0468"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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":"Antoine Chaillet","raw_affiliation_strings":["Universite Paris-Sud, France","Laboratoire des signaux et syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Paris-Sud, France","institution_ids":["https://openalex.org/I102197404"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000279658","display_name":"Yacine Chitour","orcid":"https://orcid.org/0000-0002-3214-5824"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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":"Yacine Chitour","raw_affiliation_strings":["Universite Paris-Sud, France","Laboratoire des signaux et syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Paris-Sud, France","institution_ids":["https://openalex.org/I102197404"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090052067","display_name":"Antonio Lor\u0131\u0301a","orcid":"https://orcid.org/0000-0003-4223-9397"},"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"]},{"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":"Antonio Loria","raw_affiliation_strings":["CNRS: LSS-SUPELEC, France","Laboratoire des signaux et syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS: LSS-SUPELEC, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8mes","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089923732","display_name":"Mario Sigalotti","orcid":"https://orcid.org/0000-0002-9013-1076"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mario Sigalotti","raw_affiliation_strings":["Institut Elie Cartan, UMR 7502, Nancy-Universit\u00e9/CNRS/INRIA, Vandoeuvre-les-Nancy, France","Robust control of infinite dimensional systems and applications","Institut \u00c9lie Cartan de Nancy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Elie Cartan, UMR 7502, Nancy-Universit\u00e9/CNRS/INRIA, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442"]},{"raw_affiliation_string":"Robust control of infinite dimensional systems and applications","institution_ids":[]},{"raw_affiliation_string":"Institut \u00c9lie Cartan de Nancy","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6394","last_page":"6399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9987000226974487,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9987000226974487,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958999752998352,"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":0.7220327258110046},{"id":"https://openalex.org/keywords/excitation","display_name":"Excitation","score":0.686621904373169},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.6281595230102539},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5687606334686279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5626404881477356},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5338121056556702},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5295679569244385},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.48205575346946716},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4539484977722168},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.43801528215408325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33000797033309937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31222665309906006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23933145403862},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15095993876457214},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1344507336616516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11257672309875488},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10671889781951904}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7220327258110046},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.686621904373169},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.6281595230102539},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5687606334686279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5626404881477356},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5338121056556702},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5295679569244385},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.48205575346946716},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4539484977722168},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.43801528215408325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33000797033309937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31222665309906006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23933145403862},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15095993876457214},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1344507336616516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11257672309875488},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10671889781951904},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2007.4434374","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434374","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.128.8026","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.8026","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.rutgers.edu/~sontag/FTP_DIR/07cdc-papers-refs-eds/0634.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00589701v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00589701","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":"46th IEEE Conference on Decision and Control, 2007, New Orleans, United States. pp.6394-6399, ⟨10.1109/cdc.2007.4434374⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1484739396","https://openalex.org/W1552094772","https://openalex.org/W1572548753","https://openalex.org/W1971950230","https://openalex.org/W1986594128","https://openalex.org/W2007935911","https://openalex.org/W2033768843","https://openalex.org/W2043183450","https://openalex.org/W2084970142","https://openalex.org/W2088053858","https://openalex.org/W2102338235","https://openalex.org/W2112459561","https://openalex.org/W2118741873","https://openalex.org/W2123138848","https://openalex.org/W2795182086","https://openalex.org/W3046252325","https://openalex.org/W6634180332"],"related_works":["https://openalex.org/W2080488015","https://openalex.org/W2897121470","https://openalex.org/W2347533678","https://openalex.org/W4248598780","https://openalex.org/W3213086587","https://openalex.org/W2469303921","https://openalex.org/W2116395142","https://openalex.org/W2369204337","https://openalex.org/W2507282821","https://openalex.org/W2883723259"],"abstract_inverted_index":{"Consider":[0],"the":[1,29,42,61,64,71,91,94],"controlled":[2],"system":[3,30,92],"dx/dt":[4],"=":[5],"Ax":[6],"+":[7],"alpha(t)Bu":[8],"where":[9],"(A,B)":[10],"is":[11,20,45,86,93],"stabilizable":[12],"and":[13,19,59,89],"alpha(t)":[14,26],"takes":[15],"values":[16],"in":[17],"[0,1]":[18],"persistently":[21],"exciting.":[22],"In":[23,37],"particular,":[24],"when":[25,84,90],"becomes":[27],"zero":[28],"dynamics":[31],"switches":[32],"to":[33,48,78],"an":[34],"uncontrollable":[35],"system.":[36],"this":[38,79],"paper,":[39],"we":[40],"address":[41],"following":[43],"question:":[44],"it":[46],"possible":[47],"find":[49],"a":[50,75],"linear":[51],"time-invariant":[52],"state-feedback,":[53],"only":[54],"depending":[55],"on":[56,60],"(A,":[57],"B)":[58],"parameters":[62],"of":[63],"persistent":[65],"excitation,":[66],"which":[67],"globally":[68],"exponentially":[69],"stabilizes":[70],"system?":[72],"We":[73],"give":[74],"positive":[76],"answer":[77],"question":[80],"for":[81],"two":[82],"cases:":[83],"A":[85],"neutrally":[87],"stable":[88],"double":[95],"integrator.":[96]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}