{"id":"https://openalex.org/W2118631418","doi":"https://doi.org/10.1109/nds.2015.7332635","title":"Euler-Bernoulli beam flatness based control with constraints","display_name":"Euler-Bernoulli beam flatness based control with constraints","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2118631418","doi":"https://doi.org/10.1109/nds.2015.7332635","mag":"2118631418"},"language":"en","primary_location":{"id":"doi:10.1109/nds.2015.7332635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2015.7332635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-01264912","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068231876","display_name":"Maria Bekcheva","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maria Bekcheva","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e9mes, FRANCE","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e9mes, FRANCE","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045352324","display_name":"Luca Greco","orcid":"https://orcid.org/0000-0002-3961-5219"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Luca Greco","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e9mes, FRANCE","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e9mes, FRANCE","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113809999","display_name":"Hugues Mounier","orcid":"https://orcid.org/0000-0002-7069-3119"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hugues Mounier","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e9mes, FRANCE","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e9mes, FRANCE","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083637787","display_name":"Alban Quadrat","orcid":"https://orcid.org/0000-0002-6466-2172"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alban Quadrat","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e9mes, FRANCE","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec\r\n3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e9mes, FRANCE","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec\r\n3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/flatness","display_name":"Flatness (cosmology)","score":0.6810020804405212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6079875826835632},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5071365833282471},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.5060803294181824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4646095335483551},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.44797319173812866},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.4201548397541046},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4142475128173828},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37254399061203003},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3439537286758423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24569940567016602},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10191401839256287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08328548073768616}],"concepts":[{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.6810020804405212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6079875826835632},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5071365833282471},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5060803294181824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4646095335483551},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.44797319173812866},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.4201548397541046},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4142475128173828},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37254399061203003},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3439537286758423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24569940567016602},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10191401839256287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08328548073768616},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/nds.2015.7332635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2015.7332635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01264912v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-01264912","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 9th International Workshop on Multidimensional (nD) Systems, Sep 2015, Vila Real, Portugal. pp.1-6, &#x27E8;10.1109/NDS.2015.7332635&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01264912v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-01264912","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE 9th International Workshop on Multidimensional (nD) Systems, Sep 2015, Vila Real, Portugal. pp.1-6, &#x27E8;10.1109/NDS.2015.7332635&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W48920821","https://openalex.org/W50045018","https://openalex.org/W189880994","https://openalex.org/W377544103","https://openalex.org/W569549524","https://openalex.org/W592140837","https://openalex.org/W614429308","https://openalex.org/W1232825439","https://openalex.org/W1495410784","https://openalex.org/W1538686203","https://openalex.org/W1542689491","https://openalex.org/W1590069305","https://openalex.org/W1633485514","https://openalex.org/W1966686724","https://openalex.org/W1974802814","https://openalex.org/W1990090788","https://openalex.org/W1990131059","https://openalex.org/W1998033277","https://openalex.org/W2000758421","https://openalex.org/W2012288903","https://openalex.org/W2015302594","https://openalex.org/W2031063637","https://openalex.org/W2060887650","https://openalex.org/W2062433045","https://openalex.org/W2070777618","https://openalex.org/W2073909866","https://openalex.org/W2077101292","https://openalex.org/W2079234857","https://openalex.org/W2097970258","https://openalex.org/W2130621829","https://openalex.org/W2142876902","https://openalex.org/W2145377543","https://openalex.org/W2163297800","https://openalex.org/W2171217575","https://openalex.org/W2171566362","https://openalex.org/W2277540571","https://openalex.org/W2313553338","https://openalex.org/W2329596566","https://openalex.org/W2467717447","https://openalex.org/W2528800419","https://openalex.org/W2619521795","https://openalex.org/W2620790511","https://openalex.org/W4285719527","https://openalex.org/W4298066755","https://openalex.org/W4301386114"],"related_works":["https://openalex.org/W2789295429","https://openalex.org/W2743501974","https://openalex.org/W2540573954","https://openalex.org/W2782313579","https://openalex.org/W3020534285","https://openalex.org/W4287707114","https://openalex.org/W4245793732","https://openalex.org/W1144035018","https://openalex.org/W2093671683","https://openalex.org/W2383413592"],"abstract_inverted_index":{"The":[0,73],"control":[1],"of":[2,18,45,68,75,84,102],"infinite":[3,57,91],"dimensional":[4],"systems":[5,20],"with":[6,26],"constraints":[7],"is":[8,31,53,107],"a":[9,15,35],"notoriously":[10],"difficult":[11],"task.":[12],"We":[13],"consider":[14],"general":[16],"class":[17],"linear":[19,49],"governed":[21],"by":[22],"partial":[23],"differential":[24,46,59,93],"equations":[25],"boundary":[27],"control.":[28],"This":[29],"problem":[30],"here":[32],"treated":[33],"in":[34],"quite":[36],"natural":[37],"manner":[38],"through":[39,109],"the":[40,43,63,66,69,76,90,100],"freeness":[41],"property,":[42],"analogue":[44,67],"flatness":[47],"for":[48,89],"systems.":[50],"Any":[51],"variable":[52],"then":[54],"expressed":[55],"as":[56],"order":[58,88,92],"operators":[60,94],"applied":[61],"to":[62,95],"basis":[64,77],"components,":[65],"flat":[70],"output":[71],"components.":[72],"specialisation":[74],"components":[78],"are":[79,82],"functions":[80],"which":[81],"both":[83],"Gevrey":[85],"regularity":[86],"(in":[87],"be":[96],"convergent)":[97],"and":[98],"pertaining":[99],"flexibility":[101],"polynomial":[103],"splines.":[104],"An":[105],"illustration":[106],"made":[108],"an":[110],"Euler":[111],"Bernoulli":[112],"beam":[113],"example.":[114]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
