{"id":"https://openalex.org/W2106519704","doi":"https://doi.org/10.1109/acc.2007.4282609","title":"Relation between Exponential Stability and Input-to-State Stability of Time-Delay Systems","display_name":"Relation between Exponential Stability and Input-to-State Stability of Time-Delay Systems","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2106519704","doi":"https://doi.org/10.1109/acc.2007.4282609","mag":"2106519704"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282609","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282609","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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/A5106036993","display_name":"Nima Yeganefar","orcid":null},"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/I171246369","display_name":"\u00c9cole Nationale Sup\u00e9rieure de M\u00e9canique et d'A\u00e9rotechnique","ror":"https://ror.org/04jx68594","country_code":"FR","type":"facility","lineage":["https://openalex.org/I171246369"]},{"id":"https://openalex.org/I4210116740","display_name":"Laboratoire d'Informatique et d'Automatique pour les Syst\u00e8mes","ror":"https://ror.org/02b5vq778","country_code":"FR","type":"facility","lineage":["https://openalex.org/I32881790","https://openalex.org/I4210116740"]},{"id":"https://openalex.org/I4210136988","display_name":"D\u00e9l\u00e9gation Provence et Corse","ror":"https://ror.org/049qgqg40","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210136988","https://openalex.org/I4210139971"]},{"id":"https://openalex.org/I4210143894","display_name":"Laboratoire d'Automatique, G\u00e9nie Informatique et Signal","ror":"https://ror.org/04wez4p43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210131494","https://openalex.org/I4210137101","https://openalex.org/I4210139971","https://openalex.org/I4210143894","https://openalex.org/I7454413"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nima Yeganefar","raw_affiliation_strings":["Department of Mathematics, LATP UMR 6632, Marseille, France","LAGIS UMR CNRS 8146, Ecole Centrale de Lille, Villeneuve-d' Ascq, France","A&S - Automatique et Syst\u00e8mes [\u00e9quipe du LIAS] (Laboratoire LIAS - ENSIP\r\nB\u00e2timent B25 - 2 rue Pierre Brousse\r\nTSA 41105\r\n86073 Poitiers Cedex 9\r\nFrance\r\n\r\nLaboratoire LIAS - ISAE-ENSMA\r\nT\u00e9l\u00e9port 2 - 1 avenue Cl\u00e9ment Ader\r\nBP 40109\r\n86961 Chasseneuil\r\nFrance - France)","LIAS [Poitiers] - Laboratoire d'informatique et d'automatique pour les syst\u00e8mes [EA 6315] (LISI-ENSMA T\u00e9l\u00e9port 2 \u2013 1 avenue Cl\u00e9ment Ader \u2013 BP 40109 \u2013 86961 Futuroscope Chasseneuil cedex \u2013 france - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LATP UMR 6632, Marseille, France","institution_ids":["https://openalex.org/I4210136988"]},{"raw_affiliation_string":"LAGIS UMR CNRS 8146, Ecole Centrale de Lille, Villeneuve-d' Ascq, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210143894","https://openalex.org/I7454413"]},{"raw_affiliation_string":"A&S - Automatique et Syst\u00e8mes [\u00e9quipe du LIAS] (Laboratoire LIAS - ENSIP\r\nB\u00e2timent B25 - 2 rue Pierre Brousse\r\nTSA 41105\r\n86073 Poitiers Cedex 9\r\nFrance\r\n\r\nLaboratoire LIAS - ISAE-ENSMA\r\nT\u00e9l\u00e9port 2 - 1 avenue Cl\u00e9ment Ader\r\nBP 40109\r\n86961 Chasseneuil\r\nFrance - France)","institution_ids":["https://openalex.org/I171246369"]},{"raw_affiliation_string":"LIAS [Poitiers] - Laboratoire d'informatique et d'automatique pour les syst\u00e8mes [EA 6315] (LISI-ENSMA T\u00e9l\u00e9port 2 \u2013 1 avenue Cl\u00e9ment Ader \u2013 BP 40109 \u2013 86961 Futuroscope Chasseneuil cedex \u2013 france - France)","institution_ids":["https://openalex.org/I171246369","https://openalex.org/I4210116740"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032232940","display_name":"Michel Dambrine","orcid":"https://orcid.org/0000-0002-0690-935X"},"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/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806","https://openalex.org/I70348806"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Dambrine","raw_affiliation_strings":["LAMIH UMR CNRS 8530, Universit de Valenciennes, Valenciennes, France","LAMIH - Laboratoire d'Automatique, de M\u00e9canique et d'Informatique industrielles et Humaines - UMR 8201 (LE MONT HOUY 59313 VALENCIENNES CEDEX 9 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMIH UMR CNRS 8530, Universit de Valenciennes, Valenciennes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210089617"]},{"raw_affiliation_string":"LAMIH - Laboratoire d'Automatique, de M\u00e9canique et d'Informatique industrielles et Humaines - UMR 8201 (LE MONT HOUY 59313 VALENCIENNES CEDEX 9 - France)","institution_ids":["https://openalex.org/I4210089617"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052626044","display_name":"Nader Yeganefar","orcid":"https://orcid.org/0009-0000-4390-8367"},"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/I4210136988","display_name":"D\u00e9l\u00e9gation Provence et Corse","ror":"https://ror.org/049qgqg40","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210136988","https://openalex.org/I4210139971"]},{"id":"https://openalex.org/I4210143894","display_name":"Laboratoire d'Automatique, G\u00e9nie Informatique et Signal","ror":"https://ror.org/04wez4p43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I4210131494","https://openalex.org/I4210137101","https://openalex.org/I4210139971","https://openalex.org/I4210143894","https://openalex.org/I7454413"]},{"id":"https://openalex.org/I4210147464","display_name":"Laboratoire de Probabilit\u00e9s et Mod\u00e8les Al\u00e9atoires","ror":"https://ror.org/04hjc7403","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210147464"]},{"id":"https://openalex.org/I7454413","display_name":"\u00c9cole Centrale de Lille","ror":"https://ror.org/01x441g73","country_code":"FR","type":"education","lineage":["https://openalex.org/I7454413"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nader Yeganefar","raw_affiliation_strings":["Department of Mathematics, LATP UMR 6632, Marseille, France","LAGIS UMR CNRS 8146, Ecole Centrale de Lille, Villeneuve-d' Ascq, France","LATP - Laboratoire d'Analyse, Topologie, Probabilit\u00e9s (39 rue Joliot-Curie 13453 Marseille Cedex 13 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LATP UMR 6632, Marseille, France","institution_ids":["https://openalex.org/I4210136988"]},{"raw_affiliation_string":"LAGIS UMR CNRS 8146, Ecole Centrale de Lille, Villeneuve-d' Ascq, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210143894","https://openalex.org/I7454413"]},{"raw_affiliation_string":"LATP - Laboratoire d'Analyse, Topologie, Probabilit\u00e9s (39 rue Joliot-Curie 13453 Marseille Cedex 13 - France)","institution_ids":["https://openalex.org/I4210147464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"4919","last_page":"4920"},"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":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9984999895095825,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9957000017166138,"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/exponential-stability","display_name":"Exponential stability","score":0.7907707691192627},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6509547233581543},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6411803960800171},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6002426147460938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5768169164657593},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5379209518432617},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49106621742248535},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4892251491546631},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4838789701461792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30270645022392273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23895719647407532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11144596338272095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0988580584526062},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06040969491004944}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7907707691192627},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6509547233581543},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6411803960800171},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6002426147460938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5768169164657593},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5379209518432617},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49106621742248535},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4892251491546631},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4838789701461792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30270645022392273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23895719647407532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11144596338272095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0988580584526062},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06040969491004944},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2007.4282609","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282609","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.723.1647","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.723.1647","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lias-lab.fr/publications/14853/ACC07.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01299103v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01299103","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":"http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=4282134","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W582868771","https://openalex.org/W1589081551","https://openalex.org/W1982267787","https://openalex.org/W2017493230","https://openalex.org/W2027526023","https://openalex.org/W2063324852","https://openalex.org/W2079871064","https://openalex.org/W2082256594","https://openalex.org/W2131759005","https://openalex.org/W2160062567","https://openalex.org/W2325390432","https://openalex.org/W3152417180","https://openalex.org/W6635246173","https://openalex.org/W7015463396"],"related_works":["https://openalex.org/W1504912364","https://openalex.org/W1671909755","https://openalex.org/W2151791215","https://openalex.org/W4394883359","https://openalex.org/W2005786916","https://openalex.org/W1602624896","https://openalex.org/W2379495416","https://openalex.org/W1996632312","https://openalex.org/W2002349705","https://openalex.org/W1519862060"],"abstract_inverted_index":{"The":[0],"main":[1],"contribution":[2],"of":[3,15,56],"this":[4],"paper":[5],"is":[6,31,42,45],"to":[7,50],"establish":[8],"a":[9,51],"link":[10],"between":[11],"the":[12,20,25],"exponential":[13],"stability":[14,22],"an":[16,36,57],"unforced":[17,37],"system":[18,38],"and":[19],"input-to-state":[21,46],"(ISS)":[23],"via":[24],"Lyapunov-Krasovskii":[26],"methodology.":[27],"A":[28],"new":[29],"theorem":[30],"provided,":[32],"which":[33,53],"proves":[34],"that":[35],"whose":[39],"trivial":[40],"solution":[41],"exponentially":[43],"stable":[44,47],"if":[48],"submitted":[49],"perturbation":[52],"can":[54],"be":[55],"arbitrary":[58],"size.":[59]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
