{"id":"https://openalex.org/W2784867922","doi":"https://doi.org/10.1109/tcst.2018.2797938","title":"Robust Control of a Cable From a Hyperbolic Partial Differential Equation Model","display_name":"Robust Control of a Cable From a Hyperbolic Partial Differential Equation Model","publication_year":2018,"publication_date":"2018-02-09","ids":{"openalex":"https://openalex.org/W2784867922","doi":"https://doi.org/10.1109/tcst.2018.2797938","mag":"2784867922"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2018.2797938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2018.2797938","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research-information.bris.ac.uk/files/143364682/BriefCable.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058350956","display_name":"Lucie Baudouin","orcid":"https://orcid.org/0000-0002-7181-0321"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lucie Baudouin","raw_affiliation_strings":["LAAS-CNRS, Toulouse, France","\u00c9quipe M\u00e9thodes et Algorithmes en Commande"],"raw_orcid":"https://orcid.org/0000-0002-7181-0321","affiliations":[{"raw_affiliation_string":"LAAS-CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"\u00c9quipe M\u00e9thodes et Algorithmes en Commande","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084006281","display_name":"Aude Rondepierre","orcid":"https://orcid.org/0000-0001-7366-5677"},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Aude Rondepierre","raw_affiliation_strings":["IMT, University of Toulouse, INSA, Toulouse, France","Institut de Math\u00e9matiques de Toulouse UMR5219","Laboratoire d'analyse et d'architecture des syst\u00e8mes"],"raw_orcid":"https://orcid.org/0000-0001-7366-5677","affiliations":[{"raw_affiliation_string":"IMT, University of Toulouse, INSA, Toulouse, France","institution_ids":["https://openalex.org/I196454796"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Toulouse UMR5219","institution_ids":["https://openalex.org/I84500057"]},{"raw_affiliation_string":"Laboratoire d'analyse et d'architecture des syst\u00e8mes","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006012432","display_name":"Simon A. Neild","orcid":"https://orcid.org/0000-0003-4122-4513"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Simon Neild","raw_affiliation_strings":["Faculty of Engineering, University of Bristol, Bristol, U.K","Department of Mechanical and Aerospace Engineering [Univ Strathclyde]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Bristol, Bristol, U.K","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering [Univ Strathclyde]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.9129,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.73607158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"27","issue":"3","first_page":"1343","last_page":"1351"},"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":1.0,"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":1.0,"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":0.9958000183105469,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9951000213623047,"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/dimension","display_name":"Dimension (graph theory)","score":0.7060889005661011},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6609201431274414},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6003620028495789},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5145065784454346},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4806017577648163},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44968101382255554},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4389810562133789},{"id":"https://openalex.org/keywords/emphasis","display_name":"Emphasis (telecommunications)","score":0.420301228761673},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4120102524757385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4112918972969055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39497464895248413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3928512632846832},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38672205805778503},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32416123151779175},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22639289498329163},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1932927668094635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11305272579193115},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10311979055404663}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7060889005661011},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6609201431274414},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6003620028495789},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5145065784454346},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4806017577648163},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44968101382255554},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4389810562133789},{"id":"https://openalex.org/C177454536","wikidata":"https://www.wikidata.org/wiki/Q578290","display_name":"Emphasis (telecommunications)","level":2,"score":0.420301228761673},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4120102524757385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4112918972969055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39497464895248413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3928512632846832},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38672205805778503},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32416123151779175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22639289498329163},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1932927668094635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11305272579193115},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10311979055404663},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcst.2018.2797938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2018.2797938","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/797b2946-5d54-4fbc-94e5-987c232a81a5","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/797b2946-5d54-4fbc-94e5-987c232a81a5","pdf_url":"https://research-information.bris.ac.uk/files/143364682/BriefCable.pdf","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Baudouin, L C, Rondepierre, A & Neild, S 2018, 'Robust Control of a Cable From a Hyperbolic Partial Differential Equation Model', IEEE Transactions on Control Systems Technology. https://doi.org/10.1109/TCST.2018.2797938","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-01096851v2","is_oa":false,"landing_page_url":"https://hal.science/hal-01096851","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":"IEEE Transactions on Control Systems Technology, 2019, 27 (3), pp.1343-1351. ⟨10.1109/TCST.2018.2797938⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/797b2946-5d54-4fbc-94e5-987c232a81a5","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/797b2946-5d54-4fbc-94e5-987c232a81a5","pdf_url":"https://research-information.bris.ac.uk/files/143364682/BriefCable.pdf","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Baudouin, L C, Rondepierre, A & Neild, S 2018, 'Robust Control of a Cable From a Hyperbolic Partial Differential Equation Model', IEEE Transactions on Control Systems Technology. https://doi.org/10.1109/TCST.2018.2797938","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8199999928474426,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G7786692064","display_name":"Centre International de Math\u00e9matiques et d'Informatique (de Toulouse)","funder_award_id":"ANR-11-LABX-0040","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2784867922.pdf","grobid_xml":"https://content.openalex.org/works/W2784867922.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W1538686203","https://openalex.org/W1965059112","https://openalex.org/W1989442639","https://openalex.org/W1997445217","https://openalex.org/W2000777018","https://openalex.org/W2041193615","https://openalex.org/W2065313971","https://openalex.org/W2066511988","https://openalex.org/W2071217843","https://openalex.org/W2077129134","https://openalex.org/W2085609891","https://openalex.org/W2088995368","https://openalex.org/W2130434028","https://openalex.org/W2152218385","https://openalex.org/W2159869407","https://openalex.org/W2168279726","https://openalex.org/W2206396106","https://openalex.org/W2322916803","https://openalex.org/W2478640404","https://openalex.org/W2936721986","https://openalex.org/W4210405416","https://openalex.org/W6721572746"],"related_works":["https://openalex.org/W2066764747","https://openalex.org/W4225895919","https://openalex.org/W2096816049","https://openalex.org/W2999616507","https://openalex.org/W2138715427","https://openalex.org/W161810272","https://openalex.org/W144405564","https://openalex.org/W2969693569","https://openalex.org/W3118471514","https://openalex.org/W2069661783"],"abstract_inverted_index":{"This":[0],"article":[1,78],"presents":[2],"a":[3,11,18,25,84],"detailed":[4],"study":[5],"of":[6,10,20,30,33,46,83,92,101,109,114,130],"the":[7,31,44,64,81,93,106,115,128,131],"robust":[8,48],"control":[9,50,108,133],"cable's":[12],"vibrations,":[13],"with":[14,37,111],"emphasis":[15],"on":[16,59,80],"considering":[17],"model":[19,29],"infinite":[21,53,87],"dimension.":[22],"Indeed,":[23],"using":[24],"partial":[26,112],"differential":[27],"equation":[28],"vibrations":[32,110],"an":[34],"inclined":[35],"cable":[36,94],"sag,":[38],"we":[39],"are":[40],"interested":[41],"in":[42,117],"studying":[43,105],"application":[45],"H\u221e-":[47],"feedback":[49,68],"to":[51,62,73,126],"this":[52,77],"dimensional":[54,88],"system.":[55],"The":[56,120],"approach":[57],"relies":[58],"Riccati":[60],"equations":[61],"stabilize":[63],"system":[65,122],"under":[66,95],"measurement":[67],"when":[69],"it":[70],"is":[71,123],"subjected":[72],"external":[74],"disturbances.":[75],"Henceforth,":[76],"focuses":[79],"construction":[82],"standard":[85],"linear":[86],"state":[89,116],"space":[90],"description":[91],"consideration":[96],"before":[97],"writing":[98],"its":[99],"approximation":[100],"finite":[102],"dimension":[103],"and":[104],"H\u221efeedback":[107],"observation":[113],"both":[118],"cases.":[119],"closed-loop":[121],"numerically":[124],"simulated":[125],"illustrate":[127],"effectiveness":[129],"resulting":[132],"law.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4}],"updated_date":"2026-09-03T10:48:47.769340","created_date":"2025-10-10T00:00:00"}