{"id":"https://openalex.org/W1981845375","doi":"https://doi.org/10.1137/080744761","title":"Feedback Stabilization of a Fluid-Structure Model","display_name":"Feedback Stabilization of a Fluid-Structure Model","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1981845375","doi":"https://doi.org/10.1137/080744761","mag":"1981845375"},"language":"en","primary_location":{"id":"doi:10.1137/080744761","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744761","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5110346346","display_name":"Jean\u2010Pierre Raymond","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jean-Pierre Raymond","raw_affiliation_strings":["raymond@math.univ-toulouse.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"raymond@math.univ-toulouse.fr#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110346346"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1979,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.95490497,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"48","issue":"8","first_page":"5398","last_page":"5443"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9754999876022339,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/mathematics","display_name":"Mathematics","score":0.7914226055145264},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.6166661977767944},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.5960896611213684},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.582751452922821},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5426862239837646},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.48756927251815796},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4824555516242981},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46087151765823364},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4480118751525879},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.4451672434806824},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.43937450647354126},{"id":"https://openalex.org/keywords/analytic-semigroup","display_name":"Analytic semigroup","score":0.4112357795238495},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36123472452163696},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2014535367488861},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13527032732963562},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10553139448165894},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08802530169487}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7914226055145264},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.6166661977767944},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.5960896611213684},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.582751452922821},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5426862239837646},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.48756927251815796},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4824555516242981},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46087151765823364},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4480118751525879},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.4451672434806824},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.43937450647354126},{"id":"https://openalex.org/C2779751289","wikidata":"https://www.wikidata.org/wiki/Q485292","display_name":"Analytic semigroup","level":3,"score":0.4112357795238495},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36123472452163696},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2014535367488861},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13527032732963562},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10553139448165894},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08802530169487},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080744761","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744761","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00629815v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00629815","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":"SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5398-5443. ⟨10.1137/080744761⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1575147392","https://openalex.org/W1598074861","https://openalex.org/W1967563465","https://openalex.org/W1974543079","https://openalex.org/W1978411037","https://openalex.org/W1979079822","https://openalex.org/W1982064246","https://openalex.org/W1986520802","https://openalex.org/W1986585819","https://openalex.org/W1994613589","https://openalex.org/W1995578325","https://openalex.org/W2015445411","https://openalex.org/W2030140685","https://openalex.org/W2033313334","https://openalex.org/W2035030115","https://openalex.org/W2043233479","https://openalex.org/W2053168208","https://openalex.org/W2059316647","https://openalex.org/W2060542320","https://openalex.org/W2066667118","https://openalex.org/W2067958186","https://openalex.org/W2076582418","https://openalex.org/W2077197181","https://openalex.org/W2084804513","https://openalex.org/W2090432161","https://openalex.org/W2117591332","https://openalex.org/W2129294838","https://openalex.org/W2132729901","https://openalex.org/W2133075536","https://openalex.org/W2151435858","https://openalex.org/W2162845060","https://openalex.org/W2172542352","https://openalex.org/W2477040106","https://openalex.org/W4206615499","https://openalex.org/W4245502469"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W2127238600","https://openalex.org/W2096105566","https://openalex.org/W1563296412","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433"],"abstract_inverted_index":{"We":[0,50],"study":[1],"a":[2,10,15,24,69,74,94,136],"system":[3,54,121],"coupling":[4],"the":[5,21,27,31,35,39,42,44,60,78,86,106,132],"incompressible":[6],"Navier\u2013Stokes":[7],"equations":[8],"in":[9,77,112],"2D":[11],"rectangular-type":[12],"domain":[13,32,46],"with":[14,63],"damped":[16],"Euler\u2013Bernoulli":[17],"beam":[18,22,79],"equation,":[19,96],"where":[20],"is":[23,55,83,91],"part":[25],"of":[26,30,41,116,130],"upper":[28],"boundary":[29],"occupied":[33],"by":[34,68,97],"fluid.":[36],"Due":[37],"to":[38,73,126],"deformation":[40],"beam,":[43],"fluid":[45],"depends":[47],"on":[48,85],"time.":[49],"prove":[51],"that":[52,118],"this":[53,113,119],"exponentially":[56],"stabilizable,":[57],"locally":[58],"about":[59],"null":[61],"solution,":[62],"any":[64],"prescribed":[65],"decay":[66],"rate,":[67],"feedback":[70,82],"control":[71,103],"corresponding":[72],"force":[75],"term":[76],"equation.":[80],"The":[81],"applied":[84],"whole":[87],"structure,":[88],"and":[89],"it":[90],"determined,":[92],"via":[93],"Riccati":[95],"solving":[98],"an":[99,127],"infinite":[100],"time":[101],"horizon":[102],"problem":[104],"for":[105],"linearized":[107,120],"model.":[108],"A":[109],"crucial":[110],"step":[111],"analysis":[114],"consists":[115],"showing":[117],"can":[122],"be":[123],"rewritten":[124],"thanks":[125],"analytic":[128],"semigroup":[129],"which":[131],"infinitesimal":[133],"generator":[134],"has":[135],"compact":[137],"resolvent.":[138]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-09-03T10:48:47.769340","created_date":"2025-10-10T00:00:00"}