{"id":"https://openalex.org/W1704112727","doi":"https://doi.org/10.3233/asy-131193","title":"Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls","display_name":"Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls","publication_year":2014,"publication_date":"2014-04-01","ids":{"openalex":"https://openalex.org/W1704112727","doi":"https://doi.org/10.3233/asy-131193","mag":"1704112727"},"language":"en","primary_location":{"id":"doi:10.3233/asy-131193","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131193","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5026223855","display_name":"Tatsien Li","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tatsien Li","raw_affiliation_strings":["Shanghai Key Laboratory for Contemporary Applied Mathematic, Nonlinear Mathematical Modeling and Methods Laboratory, School of Mathematical Sciences, Fudan University, Shanghai 200433, China. E-mail: dqli@fudan.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory for Contemporary Applied Mathematic, Nonlinear Mathematical Modeling and Methods Laboratory, School of Mathematical Sciences, Fudan University, Shanghai 200433, China. E-mail: dqli@fudan.edu.cn","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113570973","display_name":"Bopeng Rao","orcid":"https://orcid.org/0000-0001-9283-9505"},"institutions":[{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bopeng Rao","raw_affiliation_strings":["Institut de Recherche Math\u00e9matique Avanc\u00e9e, Universit\u00e9 de Strasbourg, 67084 Strasbourg, France. E-mail: bopeng.rao@math.unistra.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique Avanc\u00e9e, Universit\u00e9 de Strasbourg, 67084 Strasbourg, France. E-mail: bopeng.rao@math.unistra.fr","institution_ids":["https://openalex.org/I4210118362","https://openalex.org/I68947357"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026223855"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":3.8483,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.92866598,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"3-4","first_page":"199","last_page":"226"},"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":0.9944000244140625,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.993399977684021,"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/controllability","display_name":"Controllability","score":0.8184280395507812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6043546795845032},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.548693060874939},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5333238840103149},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5288673043251038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5045758485794067},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.48284226655960083},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41662535071372986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35885143280029297},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.12713155150413513},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07951986789703369}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8184280395507812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6043546795845032},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.548693060874939},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5333238840103149},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5288673043251038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5045758485794067},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.48284226655960083},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41662535071372986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35885143280029297},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.12713155150413513},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07951986789703369}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-131193","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131193","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1730710558","https://openalex.org/W1971685746","https://openalex.org/W1993819167","https://openalex.org/W2020784748","https://openalex.org/W2067285014","https://openalex.org/W2093627340","https://openalex.org/W2117082240","https://openalex.org/W2333597869","https://openalex.org/W3022862242","https://openalex.org/W3194374079"],"related_works":["https://openalex.org/W4313957665","https://openalex.org/W3010940295","https://openalex.org/W3091007175","https://openalex.org/W2965061339","https://openalex.org/W2147599942","https://openalex.org/W2094931821","https://openalex.org/W1977263919","https://openalex.org/W3082230378","https://openalex.org/W1964684258","https://openalex.org/W2562228528"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3],"asymptotic":[4,11],"null":[5],"controllability":[6,18],"and":[7,19,23,42],"various":[8],"kinds":[9],"of":[10,16,29,38,45],"synchronization,":[12,20],"as":[13],"some":[14],"sorts":[15],"weakened":[17],"are":[21,40,47],"introduced":[22],"studied":[24],"for":[25],"a":[26],"coupled":[27],"system":[28],"wave":[30],"equations":[31],"with":[32],"Dirichlet":[33],"boundary":[34],"controls.":[35],"Equivalent":[36],"properties":[37],"observability":[39],"established":[41],"several":[43],"examples":[44],"explanation":[46],"also":[48],"given.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}