{"id":"https://openalex.org/W2501599436","doi":"https://doi.org/10.1109/icosc.2016.7507077","title":"Stability and stabilizability analysis of fractional-order time-varying delay systems via diffusive representation","display_name":"Stability and stabilizability analysis of fractional-order time-varying delay systems via diffusive representation","publication_year":2016,"publication_date":"2016-05-01","ids":{"openalex":"https://openalex.org/W2501599436","doi":"https://doi.org/10.1109/icosc.2016.7507077","mag":"2501599436"},"language":"en","primary_location":{"id":"doi:10.1109/icosc.2016.7507077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icosc.2016.7507077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 5th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"},"type":"preprint","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/A5072126002","display_name":"Yassine Boukal","orcid":"https://orcid.org/0000-0002-0071-8368"},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","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":"Y. Boukal","raw_affiliation_strings":["Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Ther-mique (LPMMAT), Casablanca, Morocco","Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Ther-mique (LPMMAT), Casablanca, Morocco","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043249930","display_name":"M. Zasadzinski","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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","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":"M. Zasadzinski","raw_affiliation_strings":["Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031918402","display_name":"Mohamed Darouach","orcid":"https://orcid.org/0000-0003-2298-2124"},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","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":"M. Darouach","raw_affiliation_strings":["Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039, CNRS), Cosnes et Romain, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108647511","display_name":"N.E. Radhy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N.E. Radhy","raw_affiliation_strings":["Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Ther-mique (LPMMAT), Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Ther-mique (LPMMAT), Casablanca, Morocco","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5401,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.68893495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"5","issue":null,"first_page":"262","last_page":"266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9988999962806702,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9988999962806702,"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":0.995199978351593,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.6953893899917603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6721986532211304},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6211033463478088},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6109697222709656},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5488808155059814},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5486829280853271},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4966450333595276},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.48349836468696594},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47638148069381714},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.46550944447517395},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44969117641448975},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.42217960953712463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2440797984600067},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21992433071136475},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20487859845161438},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1416102945804596},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.09507718682289124},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05594930052757263}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6953893899917603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6721986532211304},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6211033463478088},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6109697222709656},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5488808155059814},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5486829280853271},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4966450333595276},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.48349836468696594},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47638148069381714},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.46550944447517395},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44969117641448975},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42217960953712463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2440797984600067},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21992433071136475},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20487859845161438},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1416102945804596},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.09507718682289124},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05594930052757263},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icosc.2016.7507077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icosc.2016.7507077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 5th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W26144839","https://openalex.org/W45047736","https://openalex.org/W207094665","https://openalex.org/W564096856","https://openalex.org/W1144881293","https://openalex.org/W1517755115","https://openalex.org/W1577149585","https://openalex.org/W1853383766","https://openalex.org/W1955710786","https://openalex.org/W1971609228","https://openalex.org/W1977538384","https://openalex.org/W1978020731","https://openalex.org/W1990939959","https://openalex.org/W1994016223","https://openalex.org/W1996430332","https://openalex.org/W1998561306","https://openalex.org/W2007757627","https://openalex.org/W2011612177","https://openalex.org/W2017568798","https://openalex.org/W2019424969","https://openalex.org/W2020997138","https://openalex.org/W2023076762","https://openalex.org/W2026310361","https://openalex.org/W2035699222","https://openalex.org/W2048554912","https://openalex.org/W2067468526","https://openalex.org/W2071100183","https://openalex.org/W2084600389","https://openalex.org/W2087661690","https://openalex.org/W2092640829","https://openalex.org/W2094095773","https://openalex.org/W2095835509","https://openalex.org/W2099359142","https://openalex.org/W2102165112","https://openalex.org/W2105625584","https://openalex.org/W2126596558","https://openalex.org/W2136254520","https://openalex.org/W2142220466","https://openalex.org/W2156367245","https://openalex.org/W2161364788","https://openalex.org/W2168575223","https://openalex.org/W2171022983","https://openalex.org/W2173364013","https://openalex.org/W2227443281","https://openalex.org/W2414632409","https://openalex.org/W2418020882","https://openalex.org/W2478961926","https://openalex.org/W2506586217","https://openalex.org/W2620201257","https://openalex.org/W2787959293","https://openalex.org/W3210839039","https://openalex.org/W4230361693","https://openalex.org/W4245219117","https://openalex.org/W6634513383","https://openalex.org/W6639004600","https://openalex.org/W6674273903","https://openalex.org/W6685139834"],"related_works":["https://openalex.org/W2060195842","https://openalex.org/W2107584029","https://openalex.org/W2506486174","https://openalex.org/W2137573655","https://openalex.org/W1948335084","https://openalex.org/W2051989438","https://openalex.org/W2187353352","https://openalex.org/W1986111529","https://openalex.org/W2964893663","https://openalex.org/W1983873529"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,21,33,37,49,52,74],"stability":[4,35],"and":[5,24,51],"stabilization":[6],"of":[7,54],"fractional-order":[8,38],"time-varying":[9,39],"delay":[10,40],"systems":[11],"modeled":[12],"in":[13,59],"state":[14],"space":[15],"are":[16],"considered.":[17],"First,":[18],"based":[19],"on":[20],"indirect":[22],"Lyapunov":[23],"Lyapunov-Krasovskii":[25],"approaches,":[26],"we":[27,43],"provide":[28],"a":[29,45,60,67],"sufficient":[30,46],"condition":[31,47],"for":[32,36],"asymptotic":[34],"systems.":[41],"Then,":[42],"give":[44],"guaranteeing":[48],"existence":[50],"synthesis":[53],"pseudo-state":[55],"feedback":[56],"stabilizing":[57],"controller":[58],"Linear":[61],"Matrix":[62],"Inequality":[63],"(LMI)":[64],"formulation.":[65],"Finally,":[66],"numerical":[68],"example":[69],"is":[70],"given":[71],"to":[72],"illustrate":[73],"main":[75],"results.":[76]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
