{"id":"https://openalex.org/W4210590645","doi":"https://doi.org/10.1109/cdc45484.2021.9683269","title":"Strong stabilization of a linearized gravity-capillary water waves system in a tank","display_name":"Strong stabilization of a linearized gravity-capillary water waves system in a tank","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210590645","doi":"https://doi.org/10.1109/cdc45484.2021.9683269"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683269","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5004641659","display_name":"Pei Su","orcid":"https://orcid.org/0000-0002-5817-4260"},"institutions":[{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pei Su","raw_affiliation_strings":["Université de Bordeaux,Institut de Mathématiques de Bordeaux,Talence,France,F 33 405"],"affiliations":[{"raw_affiliation_string":"Université de Bordeaux,Institut de Mathématiques de Bordeaux,Talence,France,F 33 405","institution_ids":["https://openalex.org/I4210166017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004641659"],"corresponding_institution_ids":["https://openalex.org/I4210166017"],"apc_list":null,"apc_paid":null,"fwci":0.8727,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6981982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"135","issue":null,"first_page":"6194","last_page":"6199"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5932461619377136},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5648869276046753},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5337560772895813},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5229787826538086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4944274425506592},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4834957420825958},{"id":"https://openalex.org/keywords/capillary-action","display_name":"Capillary action","score":0.46982836723327637},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4579834043979645},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44654136896133423},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4334622025489807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4250926375389099},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4156324863433838},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4136790931224823},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3830930292606354},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1952836811542511},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18720826506614685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14884573221206665},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1055983304977417}],"concepts":[{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5932461619377136},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5648869276046753},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5337560772895813},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5229787826538086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4944274425506592},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4834957420825958},{"id":"https://openalex.org/C196806460","wikidata":"https://www.wikidata.org/wiki/Q188603","display_name":"Capillary action","level":2,"score":0.46982836723327637},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4579834043979645},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44654136896133423},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4334622025489807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4250926375389099},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4156324863433838},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4136790931224823},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3830930292606354},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1952836811542511},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18720826506614685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14884573221206665},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1055983304977417},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","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},{"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:10.1109/cdc45484.2021.9683269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683269","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W312948893","https://openalex.org/W1538686203","https://openalex.org/W1597209545","https://openalex.org/W1966359610","https://openalex.org/W1974305599","https://openalex.org/W2000873570","https://openalex.org/W2006241093","https://openalex.org/W2007817321","https://openalex.org/W2049892514","https://openalex.org/W2087574051","https://openalex.org/W2111844730","https://openalex.org/W2151226117","https://openalex.org/W3002066002","https://openalex.org/W3013100152","https://openalex.org/W3102345756","https://openalex.org/W3103122624","https://openalex.org/W3145837649","https://openalex.org/W3184433548","https://openalex.org/W4233410351","https://openalex.org/W4237747162","https://openalex.org/W4292027189","https://openalex.org/W6793203232"],"related_works":["https://openalex.org/W2140690553","https://openalex.org/W1514481392","https://openalex.org/W2147599942","https://openalex.org/W4322770021","https://openalex.org/W2971149938","https://openalex.org/W2020502833","https://openalex.org/W2244793131","https://openalex.org/W3203194254","https://openalex.org/W4280648077","https://openalex.org/W4300850840"],"abstract_inverted_index":{"We":[0,50],"consider":[1],"the":[2,23,27,44,47,53,56,72,79,98,102,113,117,120,123,126,145,159],"strong":[3],"stabilization":[4,167],"of":[5,26,32,43,55,78,119,125,144,158],"a":[6,11,30,33,39,93,141,164],"gravity-capillary":[7],"water":[8,58,80],"waves":[9,59],"in":[10,76,116],"rectangular":[12],"tank.":[13],"The":[14],"control":[15,69,127],"acts":[16],"on":[17,140],"one":[18],"lateral":[19],"boundary,":[20],"by":[21,61,169],"producing":[22],"horizontal":[24],"acceleration":[25],"water,":[28],"as":[29,65,161,163],"multiple":[31],"scalar":[34],"input":[35],"function":[36,41],"u,":[37],"times":[38],"given":[40,75],"h":[42],"height":[45],"along":[46],"active":[48],"boundary.":[49],"first":[51],"establish":[52],"well-posedness":[54],"whole":[57],"system":[60,64,70,128],"formulating":[62],"this":[63],"an":[66],"abstract":[67],"linear":[68],"with":[71,101,155],"state":[73,103],"z":[74],"terms":[77],"level":[81],"\u03b6.":[82],"Then":[83],"we":[84],"show":[85],"that":[86,97],"for":[87,112],"suitable":[88],"functions":[89],"h,":[90],"there":[91],"exists":[92],"functional":[94],"F":[95],"such":[96],"closed-loop":[99],"system,":[100],"feedback":[104],"u":[105],"=":[106],"Fz,":[107],"is":[108,138],"strongly":[109],"stable.":[110],"Moreover,":[111],"initial":[114],"data":[115],"domain":[118],"semigroup":[121],"generator,":[122],"energy":[124],"decays":[129],"like":[130],"${(1":[131],"+":[132],"t)^{":[133],"-":[134],"\\frac{3}{2}}}$.":[135],"Our":[136],"approach":[137],"based":[139],"detailed":[142],"construction":[143],"Dirichlet":[146],"to":[147,151],"Neumann":[148,150,152],"and":[149,171],"operators":[153],"associated":[154],"certain":[156],"edges":[157],"domain,":[160],"well":[162],"general":[165],"non-uniform":[166],"result":[168],"Ammari":[170],"Tucsnak":[172],"(2001).":[173]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}