{"id":"https://openalex.org/W4292348638","doi":"https://doi.org/10.1109/iccad55197.2022.9854013","title":"On the fixed-time stability and stabilization of autonomous dynamical systems. Application to some academic examples","display_name":"On the fixed-time stability and stabilization of autonomous dynamical systems. Application to some academic examples","publication_year":2022,"publication_date":"2022-07-13","ids":{"openalex":"https://openalex.org/W4292348638","doi":"https://doi.org/10.1109/iccad55197.2022.9854013"},"language":"en","primary_location":{"id":"doi:10.1109/iccad55197.2022.9854013","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad55197.2022.9854013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 International Conference on Control, Automation and Diagnosis (ICCAD)","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/A5102446805","display_name":"Karima Saidi","orcid":null},"institutions":[{"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":"Karima Saidi","raw_affiliation_strings":["Université de Lorraine,Laboratoire CRAN,France","Centre de Recherche en Automatique de Nancy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université de Lorraine,Laboratoire CRAN,France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073578549","display_name":"Mohamed Boutayeb","orcid":"https://orcid.org/0000-0002-6872-529X"},"institutions":[{"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 Boutayeb","raw_affiliation_strings":["Université de Lorraine,Laboratoire CRAN,France","Centre de Recherche en Automatique de Nancy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université de Lorraine,Laboratoire CRAN,France","institution_ids":["https://openalex.org/I4210110792"]},{"raw_affiliation_string":"Centre de Recherche en Automatique de Nancy","institution_ids":["https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019104313","display_name":"Chaker Jammazi","orcid":null},"institutions":[{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Chaker Jammazi","raw_affiliation_strings":["ENIT- Université Tunis El-Manar. & Laboratoire LIM, EPT-Université de Carthage,Tunisie"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENIT- Université Tunis El-Manar. & Laboratoire LIM, EPT-Université de Carthage,Tunisie","institution_ids":["https://openalex.org/I63596082"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08992165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958000183105469,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958000183105469,"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":0.9855999946594238,"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":0.9843000173568726,"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/integrator","display_name":"Integrator","score":0.7078135013580322},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6796161532402039},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6595884561538696},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6467701196670532},{"id":"https://openalex.org/keywords/double-integrator","display_name":"Double integrator","score":0.5708776712417603},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5274146795272827},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4647499918937683},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4592359960079193},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.45605772733688354},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45438066124916077},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4410167336463928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35640424489974976},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14773967862129211},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1421082615852356},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11031961441040039},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08662614226341248},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07536882162094116}],"concepts":[{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.7078135013580322},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6796161532402039},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6595884561538696},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6467701196670532},{"id":"https://openalex.org/C2779323837","wikidata":"https://www.wikidata.org/wiki/Q5300045","display_name":"Double integrator","level":3,"score":0.5708776712417603},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5274146795272827},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4647499918937683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4592359960079193},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.45605772733688354},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45438066124916077},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4410167336463928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35640424489974976},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14773967862129211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1421082615852356},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11031961441040039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08662614226341248},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07536882162094116},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccad55197.2022.9854013","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad55197.2022.9854013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 International Conference on Control, Automation and Diagnosis (ICCAD)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03873964v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03873964","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":"International Conference on Control, Automation and Diagnosis, ICCAD 2022, Jul 2022, Lisbonne, Portugal. ⟨10.1109/ICCAD55197.2022.9854013⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.5299999713897705,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2080488015","https://openalex.org/W4402569967","https://openalex.org/W2347533678","https://openalex.org/W4248598780","https://openalex.org/W4244659545","https://openalex.org/W2116395142","https://openalex.org/W2369204337","https://openalex.org/W2507282821","https://openalex.org/W2883723259","https://openalex.org/W2385325569"],"abstract_inverted_index":{"This":[0,68],"paper":[1],"discusses":[2],"a":[3],"new":[4,50],"characterization":[5],"of":[6,10,19,49,72,74],"the":[7,17,20,24,38,47,55,64,70],"fixed-time":[8,29,51,78,82],"stability":[9,22,26],"autonomous":[11],"dynamical":[12],"systems.":[13],"We":[14,42],"prove":[15],"that":[16,32],"combination":[18],"finite-time":[21],"with":[23],"polynomial":[25],"leads":[27],"to":[28,46],"stabilities":[30,34],"provided":[31],"both":[33],"are":[35],"obtained":[36],"by":[37,80],"same":[39],"Lyapunov":[40],"function.":[41],"apply":[43],"this":[44],"result":[45],"construction":[48,71],"stabilizing":[52],"feedbacks":[53],"for":[54],"famous":[56],"double":[57,75],"integrator":[58,76],"problem;":[59],"One":[60],"is":[61,66],"continuous":[62],"while":[63],"other":[65],"discontinuous.":[67],"allows":[69],"observers":[73],"in":[77],"followed":[79],"its":[81],"output":[83],"feedbacks.":[84]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}