{"id":"https://openalex.org/W2112209177","doi":"https://doi.org/10.1109/cdc.2009.5400443","title":"Observer-based control for fractional-order continuous-time systems","display_name":"Observer-based control for fractional-order continuous-time systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2112209177","doi":"https://doi.org/10.1109/cdc.2009.5400443","mag":"2112209177"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"article","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/A5034088390","display_name":"Ibrahima N\u2019Doye","orcid":"https://orcid.org/0000-0002-2576-5515"},"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/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["FR","MA"],"is_corresponding":false,"raw_author_name":"Ibrahima N'doye","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France","Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Thermique, Universit\u00e9 Hassan II Ain-Chock, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Thermique, Universit\u00e9 Hassan II Ain-Chock, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079512371","display_name":"Michel Zasadzi\u0144ski","orcid":"https://orcid.org/0000-0001-9387-2868"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Zasadzinski","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France","institution_ids":["https://openalex.org/I4210110792","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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Darouach","raw_affiliation_strings":["Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy, (CRAN UMR-7039, CNRS), IUT de Longwy, Nancy-Universit\u00e9, Cosnes-et-Romain, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108508369","display_name":"Nour-Eddine Radhy","orcid":null},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Nour-Eddine Radhy","raw_affiliation_strings":["Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Thermique, Universit\u00e9 Hassan II Ain-Chock, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences Ain-Chock, Laboratoire Physique et Mat\u00e9riaux Micro\u00e9lectronique Automatique et Thermique, Universit\u00e9 Hassan II Ain-Chock, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5823,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.9450648,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1932","last_page":"1937"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7158135175704956},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6692185401916504},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6071953773498535},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5947195291519165},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5878375172615051},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5755845308303833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5142983794212341},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4863446354866028},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45733410120010376},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.43349286913871765},{"id":"https://openalex.org/keywords/gronwalls-inequality","display_name":"Gronwall's inequality","score":0.4216601848602295},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41708019375801086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37561097741127014},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2817206382751465},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14960452914237976},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07198914885520935},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.06980472803115845},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06934058666229248}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7158135175704956},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6692185401916504},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6071953773498535},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5947195291519165},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5878375172615051},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5755845308303833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5142983794212341},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4863446354866028},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45733410120010376},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.43349286913871765},{"id":"https://openalex.org/C37608338","wikidata":"https://www.wikidata.org/wiki/Q510733","display_name":"Gronwall's inequality","level":3,"score":0.4216601848602295},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41708019375801086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37561097741127014},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2817206382751465},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14960452914237976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07198914885520935},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.06980472803115845},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06934058666229248},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5400443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/6109","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/6109","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, Chine, December 16-18, 2009, 1932-1937 (2009); 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China [CN], December 16-18, 2009","raw_type":"http://purl.org/coar/resource_type/c_5794"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W94566284","https://openalex.org/W121642006","https://openalex.org/W433794350","https://openalex.org/W777038027","https://openalex.org/W1517755115","https://openalex.org/W1558721849","https://openalex.org/W1595103963","https://openalex.org/W1603797985","https://openalex.org/W1605182429","https://openalex.org/W1868559974","https://openalex.org/W1969562897","https://openalex.org/W1976169918","https://openalex.org/W1987011453","https://openalex.org/W1995060100","https://openalex.org/W2000472537","https://openalex.org/W2001514844","https://openalex.org/W2003115626","https://openalex.org/W2010835136","https://openalex.org/W2016230966","https://openalex.org/W2023285936","https://openalex.org/W2026769037","https://openalex.org/W2029057284","https://openalex.org/W2037545544","https://openalex.org/W2040957143","https://openalex.org/W2050065886","https://openalex.org/W2065313971","https://openalex.org/W2071367014","https://openalex.org/W2075664962","https://openalex.org/W2080299275","https://openalex.org/W2095835509","https://openalex.org/W2111369274","https://openalex.org/W2115372497","https://openalex.org/W2115852080","https://openalex.org/W2120827882","https://openalex.org/W2126022731","https://openalex.org/W2156367245","https://openalex.org/W2313278888","https://openalex.org/W2323661930","https://openalex.org/W2496713483","https://openalex.org/W2754327658","https://openalex.org/W2774495920","https://openalex.org/W2787959293","https://openalex.org/W3046782287","https://openalex.org/W4206201067","https://openalex.org/W4251398230","https://openalex.org/W4301223505","https://openalex.org/W6674273903"],"related_works":["https://openalex.org/W3192036299","https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2146428417","https://openalex.org/W1593898832","https://openalex.org/W3176458675","https://openalex.org/W2066926363","https://openalex.org/W2354159744","https://openalex.org/W2057796459","https://openalex.org/W2016812753"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,36,42],"asymptotic":[6,44],"stabilization":[7],"of":[8,30],"fractional-order":[9,17],"systems":[10,18],"using":[11],"an":[12],"observer-based":[13],"control":[14],"law.":[15],"The":[16],"under":[19],"consideration":[20],"are":[21],"either":[22],"linear":[23],"or":[24],"nonlinear":[25],"and":[26],"affine.":[27],"A":[28],"generalization":[29],"Gronwall-Bellman":[31],"which":[32],"is":[33,38],"proved":[34],"in":[35],"appendix":[37],"used":[39],"to":[40],"derive":[41],"closed-loop":[43],"stability.":[45]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}