{"id":"https://openalex.org/W2091017118","doi":"https://doi.org/10.1137/110856150","title":"Null Controllability of the Structurally Damped Wave Equation with Moving Control","display_name":"Null Controllability of the Structurally Damped Wave Equation with Moving Control","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2091017118","doi":"https://doi.org/10.1137/110856150","mag":"2091017118"},"language":"en","primary_location":{"id":"doi:10.1137/110856150","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110856150","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/A5059519742","display_name":"Philippe Martin","orcid":"https://orcid.org/0000-0001-8638-6829"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Philippe Martin","raw_affiliation_strings":["CAS - Centre Automatique et Syst\u00e8mes (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS - Centre Automatique et Syst\u00e8mes (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015767026","display_name":"Lionel Rosier","orcid":"https://orcid.org/0000-0002-5602-9799"},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lionel Rosier","raw_affiliation_strings":["IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)","CORIDA - Robust control of infinite dimensional systems and applications (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IECL - Institut \u00c9lie Cartan de Lorraine (Universit\u00e9 de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex\r\nIle du Saulcy - 57 045 Metz Cedex 01 - France)","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"CORIDA - Robust control of infinite dimensional systems and applications (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065752316","display_name":"Pierre Rouchon","orcid":"https://orcid.org/0000-0001-6160-5634"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre Rouchon","raw_affiliation_strings":["CAS - Centre Automatique et Syst\u00e8mes (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAS - Centre Automatique et Syst\u00e8mes (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.0414,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.97772027,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"1","first_page":"660","last_page":"684"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9983999729156494,"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/T11416","display_name":"Numerical methods for differential equations","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/controllability","display_name":"Controllability","score":0.9672273993492126},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.7052190899848938},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.6756201982498169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6304001212120056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.609839141368866},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5984928011894226},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.5450896620750427},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5111549496650696},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46945613622665405},{"id":"https://openalex.org/keywords/damped-wave","display_name":"Damped wave","score":0.4625207185745239},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4409812390804291},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37144941091537476},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.27653443813323975},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.15013939142227173},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1307397186756134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08883166313171387},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.057975560426712036}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9672273993492126},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.7052190899848938},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.6756201982498169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6304001212120056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.609839141368866},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5984928011894226},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5450896620750427},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5111549496650696},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46945613622665405},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.4625207185745239},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4409812390804291},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37144941091537476},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27653443813323975},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.15013939142227173},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1307397186756134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08883166313171387},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.057975560426712036},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/110856150","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110856150","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:CiteSeerX.psu:10.1.1.744.6216","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.744.6216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1111.4655.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00829857v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-00829857","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, 2013, 51 (1), pp.660-684. &#x27E8;10.1137/110856150&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G870781747","display_name":"Controle et Identification pour les Systemes d'Interaction Fluide-Structure","funder_award_id":"ANR-09-BLAN-0213","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W62223838","https://openalex.org/W611223367","https://openalex.org/W1486874193","https://openalex.org/W1496662771","https://openalex.org/W1516587486","https://openalex.org/W1518303125","https://openalex.org/W1527296550","https://openalex.org/W1590325349","https://openalex.org/W1968082909","https://openalex.org/W1974384644","https://openalex.org/W1981196043","https://openalex.org/W1983321402","https://openalex.org/W1989441476","https://openalex.org/W1991322564","https://openalex.org/W2014941307","https://openalex.org/W2025447499","https://openalex.org/W2030473889","https://openalex.org/W2065272780","https://openalex.org/W2071125695","https://openalex.org/W2076597612","https://openalex.org/W2077814196","https://openalex.org/W2091019995","https://openalex.org/W2096358753","https://openalex.org/W2120589437","https://openalex.org/W2125241686","https://openalex.org/W2132656678","https://openalex.org/W2496629542","https://openalex.org/W2576425746","https://openalex.org/W3175367423"],"related_works":["https://openalex.org/W1987632710","https://openalex.org/W2534004512","https://openalex.org/W4225370548","https://openalex.org/W4290088595","https://openalex.org/W1980471957","https://openalex.org/W2080798677","https://openalex.org/W1981200353","https://openalex.org/W2171514244","https://openalex.org/W2009802784","https://openalex.org/W2144189745"],"abstract_inverted_index":{"We":[0,16,37],"investigate":[1],"the":[2,6,13,19,40,57],"internal":[3],"controllability":[4,42],"of":[5,56],"wave":[7],"equation":[8],"with":[9,33],"structural":[10],"damping":[11],"on":[12,23,28],"one-dimensional":[14],"torus.":[15],"assume":[17],"that":[18,39],"control":[20],"is":[21],"acting":[22],"a":[24,29,34,51],"moving":[25,30],"point":[26],"or":[27],"small":[31],"interval":[32],"constant":[35],"velocity.":[36],"prove":[38],"null":[41],"holds":[43],"in":[44],"some":[45],"suitable":[46],"Sobolev":[47],"space":[48],"and":[49],"after":[50],"fixed":[52],"positive":[53],"time":[54],"independent":[55],"initial":[58],"conditions.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
