{"id":"https://openalex.org/W4400591375","doi":"https://doi.org/10.1080/00207721.2024.2377760","title":"Local exponential stabilisation of the delayed Fisher's equation","display_name":"Local exponential stabilisation of the delayed Fisher's equation","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400591375","doi":"https://doi.org/10.1080/00207721.2024.2377760"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2024.2377760","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2377760","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-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/A5066150489","display_name":"Habib Ayadi","orcid":"https://orcid.org/0000-0001-9909-8244"},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"H. Ayadi","raw_affiliation_strings":["Faculty of Economics and Management, University of Sfax, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics and Management, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060720104","display_name":"Nizar Mahfoudhi","orcid":null},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"N. Mahfoudhi","raw_affiliation_strings":["Faculty of Sciences, University of Sfax, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060720104"],"corresponding_institution_ids":["https://openalex.org/I142899784"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10441398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"1","first_page":"29","last_page":"39"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9908999800682068,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.5585510730743408},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5276122093200684},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5126602053642273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27645546197891235}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5585510730743408},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5276122093200684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5126602053642273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27645546197891235}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2024.2377760","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2377760","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:56:y:2025:i:1:p:29-39","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2024.2377760","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W393289797","https://openalex.org/W564609686","https://openalex.org/W636727077","https://openalex.org/W1527296550","https://openalex.org/W1586658033","https://openalex.org/W1606157354","https://openalex.org/W1968713011","https://openalex.org/W1974790392","https://openalex.org/W1979893394","https://openalex.org/W1990834167","https://openalex.org/W2001501290","https://openalex.org/W2008945914","https://openalex.org/W2040498863","https://openalex.org/W2046362185","https://openalex.org/W2052849686","https://openalex.org/W2056522232","https://openalex.org/W2058945808","https://openalex.org/W2079949023","https://openalex.org/W2087606723","https://openalex.org/W2088779465","https://openalex.org/W2090167557","https://openalex.org/W2106432105","https://openalex.org/W2110097316","https://openalex.org/W2135385102","https://openalex.org/W2166801103","https://openalex.org/W2288403349","https://openalex.org/W2499641798","https://openalex.org/W2731013142","https://openalex.org/W2962677197","https://openalex.org/W3083847553","https://openalex.org/W3094142253","https://openalex.org/W4206318793","https://openalex.org/W4211202937","https://openalex.org/W4230923404","https://openalex.org/W4251413101","https://openalex.org/W4300833285","https://openalex.org/W4362705868","https://openalex.org/W4376456918"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2369988800","https://openalex.org/W4287905284"],"abstract_inverted_index":{"Exponential":[0],"stabilisation":[1,55],"is":[2,15,35,45,105,116,166],"undoubtedly":[3],"an":[4],"essential":[5],"property":[6,14],"to":[7,18,37,47,147],"study":[8,49],"for":[9,20,57,95],"any":[10],"control":[11],"system.":[12],"This":[13],"often":[16],"difficult":[17,27],"establish":[19],"nonlinear":[21],"distributed":[22],"systems":[23],"and":[24,53,79,98,125,151],"even":[25],"more":[26],"if":[28],"the":[29,48,51,58,76,82,90,96,113,130,133,141,160,163],"state":[30],"of":[31,50,132,143,162],"such":[32],"a":[33,38,68,102],"system":[34,115],"subject":[36],"time-delay.":[39],"In":[40],"this":[41,43,108],"context,":[42],"paper":[44],"devoted":[46],"well-posedness":[52],"exponential":[54],"problems":[56],"one-dimensional":[59],"delayed":[60],"Fisher's":[61],"partial":[62],"differential":[63,148],"equation":[64],"(PDE)":[65],"posed":[66],"in":[67,118,129],"bounded":[69],"interval,":[70],"with":[71],"homogeneous":[72],"Dirichlet":[73,86],"condition":[74],"at":[75,81],"left":[77],"boundary":[78,84],"controlled":[80],"right":[83],"by":[85,140],"condition.":[87],"Based":[88],"on":[89],"infinite":[91],"dimensional":[92],"backstepping":[93],"method":[94],"linear":[97],"undelayed":[99],"corresponding":[100],"case,":[101],"feedback":[103],"law":[104],"built.":[106],"Under":[107],"feedback,":[109],"we":[110],"prove":[111],"that":[112,158],"closed-loop":[114],"well-posed":[117],"$":[119,122,134,137],"L^2(0,":[120,135],"1)":[121,124,136],"L2(0,":[123,138],"locally":[126],"exponentially":[127],"stable":[128],"topology":[131],"1)-norm":[139],"use":[142],"semigroup":[144],"theory":[145],"relating":[146],"difference":[149],"equations":[150],"Lyapunov\u2013Razumikhin":[152],"analysis,":[153],"respectively.":[154],"A":[155],"numerical":[156],"example":[157],"reflects":[159],"effectiveness":[161],"proposed":[164],"approach":[165],"given.":[167]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}