{"id":"https://openalex.org/W2618836604","doi":"https://doi.org/10.1080/00207179.2017.1333154","title":"Feedback stabilisation of an Euler\u2013Bernoulli beam with the boundary time-delay disturbance","display_name":"Feedback stabilisation of an Euler\u2013Bernoulli beam with the boundary time-delay disturbance","publication_year":2017,"publication_date":"2017-05-23","ids":{"openalex":"https://openalex.org/W2618836604","doi":"https://doi.org/10.1080/00207179.2017.1333154","mag":"2618836604"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2017.1333154","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2017.1333154","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","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/A5045274613","display_name":"Yanfang Li","orcid":"https://orcid.org/0000-0002-9675-4864"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanfang Li","raw_affiliation_strings":["Department of Mathematics, Tianjin University , Tianjin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tianjin University , Tianjin, P.R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029838563","display_name":"Genqi Xu","orcid":"https://orcid.org/0000-0001-8120-0490"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Genqi Xu","raw_affiliation_strings":["Department of Mathematics, Tianjin University , Tianjin, P.R. China"],"raw_orcid":"https://orcid.org/0000-0001-8120-0490","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tianjin University , Tianjin, P.R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080512986","display_name":"Zhong\u2010Jie Han","orcid":"https://orcid.org/0000-0001-6114-6976"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongjie Han","raw_affiliation_strings":["Department of Mathematics, Tianjin University , Tianjin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tianjin University , Tianjin, P.R. China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029838563"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0591244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"91","issue":"8","first_page":"1835","last_page":"1847"},"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":1.0,"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":1.0,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9779999852180481,"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/mathematics","display_name":"Mathematics","score":0.6899867653846741},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6499314904212952},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6345977187156677},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6318802833557129},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6174984574317932},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.5605568885803223},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5478869676589966},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5435559153556824},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4980430603027344},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4623929262161255},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4565429985523224},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4116348624229431},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3800230622291565},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3155369758605957},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2076943814754486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14128106832504272},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09996378421783447},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06781703233718872}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6899867653846741},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6499314904212952},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6345977187156677},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6318802833557129},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6174984574317932},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5605568885803223},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5478869676589966},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5435559153556824},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4980430603027344},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4623929262161255},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4565429985523224},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4116348624229431},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3800230622291565},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3155369758605957},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2076943814754486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14128106832504272},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09996378421783447},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06781703233718872},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2017.1333154","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2017.1333154","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1249015534","display_name":null,"funder_award_id":"NSFC-61174080, 61573252, 61503275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1481666293","https://openalex.org/W1490180844","https://openalex.org/W1527296550","https://openalex.org/W1929069945","https://openalex.org/W1967006815","https://openalex.org/W1981186091","https://openalex.org/W1990138564","https://openalex.org/W1990834167","https://openalex.org/W2004040188","https://openalex.org/W2009432197","https://openalex.org/W2010082341","https://openalex.org/W2029711907","https://openalex.org/W2032268770","https://openalex.org/W2042381064","https://openalex.org/W2048025789","https://openalex.org/W2062835423","https://openalex.org/W2064265897","https://openalex.org/W2084716555","https://openalex.org/W2090759317","https://openalex.org/W2126403089","https://openalex.org/W2136483504","https://openalex.org/W2146020094","https://openalex.org/W2174872450","https://openalex.org/W2336711938","https://openalex.org/W2530869145","https://openalex.org/W4366819356"],"related_works":["https://openalex.org/W3106150653","https://openalex.org/W2924465594","https://openalex.org/W4386136165","https://openalex.org/W3020534285","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W4287707114","https://openalex.org/W4245793732","https://openalex.org/W2050693590"],"abstract_inverted_index":{"In":[0,75,117],"this":[1,76],"paper,":[2],"we":[3,78],"consider":[4],"the":[5,13,22,29,35,57,63,69,80,85,90,93,102,108,113,127],"feedback":[6,36],"stabilisation":[7],"of":[8,31,48,59,92,112],"an":[9],"Euler\u2013Bernoulli":[10],"beam":[11],"with":[12,62],"boundary":[14],"time-delay":[15,20],"disturbance.":[16],"Due":[17],"to":[18,55,125],"unknown":[19],"coefficient,":[21],"system":[23,70,86,96,114],"might":[24],"be":[25],"exponentially":[26],"increasing":[27],"at":[28],"lack":[30],"control.":[32],"We":[33,88],"design":[34],"control":[37],"law":[38],"based":[39],"on":[40],"Lyapunov":[41,49,60],"function":[42,50,72],"method.":[43],"Different":[44],"from":[45],"usual":[46],"use":[47],"method,":[51],"our":[52],"approach":[53],"is":[54,115],"combine":[56],"construction":[58],"functionals":[61],"controller":[64],"design,":[65],"which":[66],"will":[67],"guarantee":[68],"energy":[71],"decays":[73],"exponentially.":[74],"procedure,":[77],"deduce":[79],"inequality":[81,103],"equations":[82,104],"satisfied":[83],"by":[84,97],"parameters.":[87],"prove":[89],"well-posedness":[91],"corresponding":[94],"closed-loop":[95],"using":[98],"semigroup":[99],"theory":[100],"and":[101],"are":[105,122],"solvable.":[106],"Moreover,":[107],"exponential":[109],"decay":[110],"rate":[111],"estimated.":[116],"addition,":[118],"some":[119],"numerical":[120],"simulations":[121],"also":[123],"presented":[124],"support":[126],"obtained":[128],"results.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
