{"id":"https://openalex.org/W2086736336","doi":"https://doi.org/10.1109/acc.2013.6580142","title":"Approximating parabolic boundary control problems with delayed actuator dynamics","display_name":"Approximating parabolic boundary control problems with delayed actuator dynamics","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2086736336","doi":"https://doi.org/10.1109/acc.2013.6580142","mag":"2086736336"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580142","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","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/A5102791907","display_name":"John A. Burns","orcid":"https://orcid.org/0000-0003-1840-927X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John A. Burns","raw_affiliation_strings":["Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072232157","display_name":"Terry L. Herdman","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Terry L. Herdman","raw_affiliation_strings":["Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015292098","display_name":"Lizette Zietsman","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lizette Zietsman","raw_affiliation_strings":["Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Applied Mathematics, Virginia Technology, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102791907"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":2.44162396,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90285497,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2080","last_page":"2085"},"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":0.9991999864578247,"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":0.9991999864578247,"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":0.9919999837875366,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9753999710083008,"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/actuator","display_name":"Actuator","score":0.7088028192520142},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.7063297033309937},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6247845888137817},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6162285804748535},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5274605751037598},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4618247151374817},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41404691338539124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26248833537101746},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2378532886505127},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18339401483535767},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0877104103565216},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.06752574443817139}],"concepts":[{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7088028192520142},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.7063297033309937},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6247845888137817},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6162285804748535},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5274605751037598},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4618247151374817},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41404691338539124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26248833537101746},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2378532886505127},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18339401483535767},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0877104103565216},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.06752574443817139}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580142","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W30907860","https://openalex.org/W173716066","https://openalex.org/W310881058","https://openalex.org/W1535312356","https://openalex.org/W1538686203","https://openalex.org/W1575147392","https://openalex.org/W1628576809","https://openalex.org/W1964445277","https://openalex.org/W1965896104","https://openalex.org/W1971100014","https://openalex.org/W1978186749","https://openalex.org/W1996557480","https://openalex.org/W2020426102","https://openalex.org/W2054171246","https://openalex.org/W2079871064","https://openalex.org/W2135957782","https://openalex.org/W2165877127","https://openalex.org/W2283679775","https://openalex.org/W2344172704","https://openalex.org/W2795042589","https://openalex.org/W3160857725","https://openalex.org/W4298228534","https://openalex.org/W6636666133","https://openalex.org/W6649374179"],"related_works":["https://openalex.org/W2490690736","https://openalex.org/W2099333796","https://openalex.org/W1999058329","https://openalex.org/W2080330449","https://openalex.org/W2007221537","https://openalex.org/W2169474978","https://openalex.org/W785766289","https://openalex.org/W2011222276","https://openalex.org/W2185997459","https://openalex.org/W2133690079"],"abstract_inverted_index":{"In":[0],"this":[1,125],"paper":[2],"we":[3,123],"consider":[4],"a":[5,40,49,72,82,97,118,141],"control":[6,30,134,145],"problem":[7,24],"for":[8,133],"the":[9,15,65,79,109,149],"convection":[10],"diffusion":[11],"equation":[12,53,84],"and":[13,122,151],"investigate":[14],"impact":[16],"of":[17,31,67,86],"including":[18],"actuator":[19,69,88],"dynamics":[20],"with":[21,55,81,89],"delays.":[22,90],"The":[23,43,58,91],"is":[25,37,46,94,114],"motivated":[26],"by":[27,39,48,71,96],"applications":[28],"to":[29,63,129,140,147],"energy":[32],"efficient":[33],"buildings":[34],"where":[35],"actuation":[36],"provided":[38],"HVAC":[41],"system.":[42],"basic":[44],"model":[45,85],"governed":[47,70],"parabolic":[50],"partial":[51,100],"differential":[52,74,101],"(PDE)":[54],"boundary":[56,59,144],"inputs.":[57],"inputs":[60],"are":[61],"assumed":[62],"be":[64],"output":[66],"an":[68,87],"delay":[73,83,99,111],"equation.":[75,102],"Thus,":[76],"one":[77],"augments":[78],"PDE":[80,112],"combined":[92],"system":[93,113,146],"described":[95],"coupled":[98,110],"We":[103,136],"show":[104],"that":[105],"under":[106],"suitable":[107],"conditions,":[108],"well":[115],"posed":[116],"in":[117],"standard":[119],"Hilbert":[120],"space":[121],"use":[124],"corresponding":[126],"abstract":[127],"formulation":[128],"construct":[130],"numerical":[131,152],"methods":[132],"design.":[135],"apply":[137],"these":[138],"results":[139],"simple":[142],"1D":[143],"illustrate":[148],"ideas":[150],"methods.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
