{"id":"https://openalex.org/W2077142488","doi":"https://doi.org/10.1093/imamci/dnm018","title":"Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition method","display_name":"Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition method","publication_year":2007,"publication_date":"2007-05-19","ids":{"openalex":"https://openalex.org/W2077142488","doi":"https://doi.org/10.1093/imamci/dnm018","mag":"2077142488"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnm018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnm018","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5049440071","display_name":"Marianna A. Shubov","orcid":"https://orcid.org/0000-0001-9547-8821"},"institutions":[{"id":"https://openalex.org/I161057412","display_name":"University of New Hampshire","ror":"https://ror.org/01rmh9n78","country_code":"US","type":"education","lineage":["https://openalex.org/I161057412"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. A. Shubov","raw_affiliation_strings":["Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA","Department of Mathematics and Statistics,University of New Hampshire,Durham,\u00a0NH 03824,USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, USA","institution_ids":["https://openalex.org/I161057412"]},{"raw_affiliation_string":"Department of Mathematics and Statistics,University of New Hampshire,Durham,\u00a0NH 03824,USA","institution_ids":["https://openalex.org/I161057412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049440071"],"corresponding_institution_ids":["https://openalex.org/I161057412"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":1.0006,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77011494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"2","first_page":"185","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9104999899864197,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9104999899864197,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9017000198364258,"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/controllability","display_name":"Controllability","score":0.9102516174316406},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.6767144203186035},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.6172888875007629},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5955676436424255},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49083787202835083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4606130123138428},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.42388883233070374},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3821623921394348},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37102290987968445},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3437979221343994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2757837176322937},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2496429681777954},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07671436667442322},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07264766097068787},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.04291951656341553},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.04223233461380005}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9102516174316406},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.6767144203186035},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.6172888875007629},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5955676436424255},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49083787202835083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4606130123138428},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.42388883233070374},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3821623921394348},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37102290987968445},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3437979221343994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2757837176322937},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2496429681777954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07671436667442322},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07264766097068787},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.04291951656341553},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.04223233461380005},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnm018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnm018","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3020534285","https://openalex.org/W4287707114","https://openalex.org/W1493010546","https://openalex.org/W4245793732","https://openalex.org/W2330487432","https://openalex.org/W2153629319","https://openalex.org/W239705756","https://openalex.org/W2104316494","https://openalex.org/W156119379","https://openalex.org/W2082139080"],"abstract_inverted_index":{"The":[0,26,44,100,126],"zero":[1,86],"controllability":[2,108,122,128],"problem":[3],"for":[4,105,115],"the":[5,10,13,55,59,73,83,88,94,106,112,116,133,139],"hyperbolic":[6],"equation,":[7],"which":[8,76],"governs":[9],"vibrations":[11],"of":[12,17,28,36,58,82,135,138],"Euler\u2013Bernoulli":[14],"beam":[15],"model":[16],"a":[18,33,49,78],"finite":[19],"length,":[20],"is":[21,30,46,66,98,123],"studied":[22],"in":[23,54],"this":[24],"paper.":[25],"equation":[27],"motion":[29],"supplied":[31],"with":[32],"one-parameter":[34],"family":[35],"physically":[37],"meaningful":[38],"boundary":[39],"conditions":[40,104],"containing":[41],"damping":[42],"terms.":[43],"control":[45,117],"introduced":[47],"as":[48,109,111],"separable":[50],"forcing":[51],"term":[52],"g(x)f(t)":[53],"right-hand":[56],"side":[57],"equation.":[60],"A":[61],"force":[62],"profile":[63],"function,":[64],"g(x),":[65],"assumed":[67],"to":[68,85,132],"be":[69],"given.":[70,120],"To":[71],"construct":[72],"control,":[74],"f(t),":[75],"brings":[77],"given":[79],"initial":[80],"state":[81],"system":[84],"on":[87],"specific":[89],"time":[90],"interval":[91],"[0,":[92],"T],":[93],"spectral":[95],"decomposition":[96],"method":[97],"applied.":[99],"necessary":[101],"and/or":[102],"sufficient":[103],"exact":[107,127],"well":[110],"explicit":[113],"formulas":[114],"laws":[118],"are":[119,130],"Approximate":[121],"also":[124],"discussed.":[125],"results":[129],"generalized":[131],"case":[134],"multiple":[136],"eigenvalues":[137],"main":[140],"dynamics":[141],"generator.":[142]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}
