{"id":"https://openalex.org/W2969091154","doi":"https://doi.org/10.23919/ecc.2019.8795857","title":"Wave Equations With Kelvin-Voigt Damping and Boundary Disturbance: A Study of the Asymptotic Gain Properties","display_name":"Wave Equations With Kelvin-Voigt Damping and Boundary Disturbance: A Study of the Asymptotic Gain Properties","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2969091154","doi":"https://doi.org/10.23919/ecc.2019.8795857","mag":"2969091154"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8795857","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","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/A5021934149","display_name":"Iasson Karafyllis","orcid":"https://orcid.org/0000-0002-7259-9409"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Iasson Karafyllis","raw_affiliation_strings":["Dept. of Mathematics, National Technical University of Athens, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078159341","display_name":"Maria Kontorinaki","orcid":"https://orcid.org/0000-0002-1373-5140"},"institutions":[{"id":"https://openalex.org/I197854408","display_name":"University of Malta","ror":"https://ror.org/03a62bv60","country_code":"MT","type":"education","lineage":["https://openalex.org/I197854408"]}],"countries":["MT"],"is_corresponding":false,"raw_author_name":"Maria Kontorinaki","raw_affiliation_strings":["Dept. of Statistics and Operations Research, University of Malta, Msida, Malta"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Statistics and Operations Research, University of Malta, Msida, Malta","institution_ids":["https://openalex.org/I197854408"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018293076","display_name":"Miroslav Krsti\u0107","orcid":"https://orcid.org/0000-0002-5523-941X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miroslav Krstic","raw_affiliation_strings":["Dept. of Mechanical and Aerospace Engineering, University of California, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mechanical and Aerospace Engineering, University of California, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5058,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65785027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1926","last_page":"1931"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9962000250816345,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9957000017166138,"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/norm","display_name":"Norm (philosophy)","score":0.6069942712783813},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.6061009764671326},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.516913890838623},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45071327686309814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3810913562774658},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.345459520816803},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13542333245277405},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.08383214473724365}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6069942712783813},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.6061009764671326},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.516913890838623},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45071327686309814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3810913562774658},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.345459520816803},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13542333245277405},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.08383214473724365},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2019.8795857","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W626483778","https://openalex.org/W1950061040","https://openalex.org/W1974000625","https://openalex.org/W1995007445","https://openalex.org/W1997185737","https://openalex.org/W2031779751","https://openalex.org/W2105318055","https://openalex.org/W2109215643","https://openalex.org/W2130588566","https://openalex.org/W2132656678","https://openalex.org/W2134078068","https://openalex.org/W2247036405","https://openalex.org/W2483739871","https://openalex.org/W2499641798","https://openalex.org/W2583096043","https://openalex.org/W2593108859","https://openalex.org/W2807666142","https://openalex.org/W2808427842","https://openalex.org/W2883379460","https://openalex.org/W2963502039","https://openalex.org/W3099439217","https://openalex.org/W4285776517","https://openalex.org/W4289752751","https://openalex.org/W4302040594"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2245403906","https://openalex.org/W2393344178","https://openalex.org/W2495930062","https://openalex.org/W1979597421","https://openalex.org/W2051796801","https://openalex.org/W2057370678","https://openalex.org/W2053518580","https://openalex.org/W1975412056","https://openalex.org/W4220826729"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"estimates":[3],"for":[4,77,87,115,122,135],"the":[5,9,20,37,40,48,51,59,65,72,78,84,88,116,119,123,130,136,140,144,156,160],"asymptotic":[6,33,60,89,124,141,157],"gains":[7,34,90,137],"of":[8,11,71,83,103,118,129],"displacement":[10,73],"a":[12,29,104,108],"vibrating":[13],"string":[14],"with":[15,23],"endpoint":[16],"forcing,":[17],"modeled":[18],"by":[19,93,101],"wave":[21],"equation":[22],"Kelvin-Voigt":[24],"and":[25,28,47,132],"viscous":[26],"damping":[27,79],"boundary":[30],"disturbance.":[31],"Two":[32],"are":[35],"studied:":[36],"gain":[38,49,61,142,158],"in":[39,50,64,143,159],"L":[41,66,145],"<sup":[42,67,146],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[43,68,147],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[44,69,148],"spatial":[45,52],"norm":[46,70,149],"sup":[53,161],"norm.":[54,162],"It":[55],"is":[56,91,113,150],"shown":[57],"that":[58,139],"property":[62],"holds":[63],"without":[74],"any":[75],"assumption":[76],"coefficients.":[80],"The":[81,126],"derivation":[82,117],"upper":[85,131],"bounds":[86,121,134],"performed":[92],"either":[94],"employing":[95],"an":[96],"eigenfunction":[97],"expansion":[98],"methodology":[99,112],"or":[100],"means":[102],"small-gain":[105],"argument,":[106],"whereas":[107],"novel":[109],"frequency":[110],"analysis":[111],"employed":[114],"lower":[120,133],"gains.":[125],"graphical":[127],"illustration":[128],"shows":[138],"estimated":[151],"much":[152],"more":[153],"accurately":[154],"than":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
