{"id":"https://openalex.org/W1541789113","doi":"https://doi.org/10.23919/ecc.2009.7074511","title":"PDE control of a rotating shear beam with boundary feedback","display_name":"PDE control of a rotating shear beam with boundary feedback","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1541789113","doi":"https://doi.org/10.23919/ecc.2009.7074511","mag":"1541789113"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074511","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 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/A5087980495","display_name":"Mustafa Do\u011fan","orcid":"https://orcid.org/0000-0001-5215-8887"},"institutions":[{"id":"https://openalex.org/I188740104","display_name":"Ba\u015fkent University","ror":"https://ror.org/02v9bqx10","country_code":"TR","type":"education","lineage":["https://openalex.org/I188740104"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mustafa Dogan","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Ba\u1e63kent University, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Ba\u1e63kent University, Turkey","institution_ids":["https://openalex.org/I188740104"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103155617","display_name":"\u00d6mer Kadir Morg\u00fcl","orcid":"https://orcid.org/0000-0003-2675-1366"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Omer Morgul","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Bilkent University, Turkey","[Department of Electrical and Electronics Engineering, Bilkent University, Turkey]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Bilkent University, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"[Department of Electrical and Electronics Engineering, Bilkent University, Turkey]","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0376144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"856","last_page":"861"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9937999844551086,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9937999844551086,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9937000274658203,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.7116966843605042},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6106906533241272},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5659320950508118},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.5622490048408508},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5374584197998047},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47366389632225037},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.47310662269592285},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46802812814712524},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.45627135038375854},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.42114585638046265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4201020896434784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4119894504547119},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3235437273979187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3209936022758484},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20724070072174072},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19456496834754944},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.1487126648426056},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08387944102287292}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.7116966843605042},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6106906533241272},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5659320950508118},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.5622490048408508},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5374584197998047},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47366389632225037},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.47310662269592285},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46802812814712524},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.45627135038375854},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.42114585638046265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4201020896434784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4119894504547119},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3235437273979187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3209936022758484},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20724070072174072},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19456496834754944},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.1487126648426056},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08387944102287292},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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:10.23919/ecc.2009.7074511","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/28618","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/28618","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Control Conference, ECC 2009","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2534185822","https://openalex.org/W2132535444","https://openalex.org/W2099991058","https://openalex.org/W203831624","https://openalex.org/W4244681779","https://openalex.org/W2275566567"],"abstract_inverted_index":{"We":[0,38,95,113],"consider":[1],"a":[2,7,14,97],"flexible":[3],"structure":[4,29],"modeled":[5],"as":[6,64,66],"shear":[8],"beam":[9],"which":[10],"is":[11,21,30],"clamped":[12],"to":[13,32,55,67,86],"rigid":[15],"body":[16],"at":[17,23],"one":[18],"end":[19],"and":[20,49,110],"free":[22,31],"the":[24,35,41,61,69,89],"other":[25],"end.":[26],"The":[27,72],"whole":[28],"rotate":[33],"on":[34,78,101],"horizontal":[36],"plane.":[37],"first":[39],"model":[40],"system":[42,90],"by":[43,92,106],"using":[44,107],"Partial":[45],"Differential":[46],"Equations":[47],"(PDE)":[48],"we":[50,82],"propose":[51],"boundary":[52],"feedback":[53],"laws":[54,75],"achieve":[56],"set":[57],"point":[58],"regulation":[59],"of":[60,88],"rotation":[62],"angle":[63],"well":[65],"suppress":[68],"elastic":[70],"vibrations.":[71],"proposed":[73],"control":[74],"are":[76],"based":[77,100],"PDE":[79],"model,":[80],"hence":[81],"do":[83],"not":[84],"resort":[85],"discretization":[87],"equations":[91],"available":[93],"methods.":[94],"utilize":[96],"coordinate":[98],"transformation":[99,105],"an":[102],"invertible":[103],"integral":[104],"Volterra":[108],"form":[109],"backstepping":[111],"techniques.":[112],"also":[114],"present":[115],"some":[116],"simulation":[117],"results.":[118]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
