{"id":"https://openalex.org/W2090906343","doi":"https://doi.org/10.1080/00207170701867857","title":"Control input separation by actuation mode expansion for flow control problems","display_name":"Control input separation by actuation mode expansion for flow control problems","publication_year":2008,"publication_date":"2008-06-21","ids":{"openalex":"https://openalex.org/W2090906343","doi":"https://doi.org/10.1080/00207170701867857","mag":"2090906343"},"language":"en","primary_location":{"id":"doi:10.1080/00207170701867857","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701867857","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5011652591","display_name":"\u00c7o\u015fku Kasnako\u011flu","orcid":"https://orcid.org/0000-0002-9928-727X"},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Co\u015fku Kasnako\u011flu","raw_affiliation_strings":["Department of Electrical \u2009&\u2009Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","Department of Electrical & Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Electrical \u2009&\u2009Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","institution_ids":["https://openalex.org/I13236232"]},{"raw_affiliation_string":"Department of Electrical & Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","institution_ids":["https://openalex.org/I13236232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027828418","display_name":"Andrea Serrani","orcid":"https://orcid.org/0000-0003-3281-7341"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrea Serrani","raw_affiliation_strings":["Department of Electrical and Computer Engineering , The Ohio State University , Columbus, Ohio, USA","Dept. of Electrical and Computer Engineering, The Ohio State University, Columbus, Ohio, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering , The Ohio State University , Columbus, Ohio, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, The Ohio State University, Columbus, Ohio, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087840669","display_name":"Mehmet \u00d6nder Efe","orcid":"https://orcid.org/0000-0002-5992-895X"},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mehmet \u00d6nder Efe","raw_affiliation_strings":["Department of Electrical \u2009&\u2009Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","Department of Electrical & Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Electrical \u2009&\u2009Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","institution_ids":["https://openalex.org/I13236232"]},{"raw_affiliation_string":"Department of Electrical & Electronics Engineering , TOBB Economics and Technology University , Ankara, Turkey","institution_ids":["https://openalex.org/I13236232"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011652591"],"corresponding_institution_ids":["https://openalex.org/I13236232"],"apc_list":null,"apc_paid":null,"fwci":5.0543,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.95678511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"81","issue":"9","first_page":"1475","last_page":"1492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9947999715805054,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/control-theory","display_name":"Control theory (sociology)","score":0.7368002533912659},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.570319414138794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.569886326789856},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5283387899398804},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5201283097267151},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5146118402481079},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4761393368244171},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4205719530582428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3732603192329407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3083041310310364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3017631769180298},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18763801455497742},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18630027770996094},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.143306702375412},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10603773593902588}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7368002533912659},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.570319414138794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.569886326789856},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5283387899398804},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5201283097267151},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5146118402481079},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4761393368244171},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4205719530582428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3732603192329407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3083041310310364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3017631769180298},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18763801455497742},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18630027770996094},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.143306702375412},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10603773593902588},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170701867857","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701867857","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6299999952316284}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W109546027","https://openalex.org/W816372514","https://openalex.org/W1538686203","https://openalex.org/W1551480811","https://openalex.org/W1579236455","https://openalex.org/W1596454800","https://openalex.org/W1633869374","https://openalex.org/W1845740698","https://openalex.org/W1970257613","https://openalex.org/W1978632431","https://openalex.org/W1985943048","https://openalex.org/W1986476868","https://openalex.org/W1991179992","https://openalex.org/W1995652348","https://openalex.org/W1996634416","https://openalex.org/W2017902093","https://openalex.org/W2035676895","https://openalex.org/W2045401101","https://openalex.org/W2060542320","https://openalex.org/W2071266452","https://openalex.org/W2079545658","https://openalex.org/W2085799724","https://openalex.org/W2125301070","https://openalex.org/W2126042578","https://openalex.org/W2127176072","https://openalex.org/W2127560478","https://openalex.org/W2129140311","https://openalex.org/W2147046190","https://openalex.org/W2147414751","https://openalex.org/W2168509719","https://openalex.org/W2169114134","https://openalex.org/W2171393114","https://openalex.org/W2172490084","https://openalex.org/W2319324373","https://openalex.org/W2322999502","https://openalex.org/W2328553971","https://openalex.org/W2333060939","https://openalex.org/W2502168827","https://openalex.org/W2525716626","https://openalex.org/W2609763614","https://openalex.org/W2990054493","https://openalex.org/W3023209408","https://openalex.org/W3173198729","https://openalex.org/W4237456099"],"related_works":["https://openalex.org/W2124287120","https://openalex.org/W1951249712","https://openalex.org/W2314373002","https://openalex.org/W2351235964","https://openalex.org/W2334267221","https://openalex.org/W4238937692","https://openalex.org/W2037688108","https://openalex.org/W2196719869","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"A":[0,102,155],"control":[1,12,37,157],"input":[2,28,53,65,115,136,147],"separation":[3,148,153],"method":[4,59,140],"is":[5,41,70,106,141,165,175],"proposed":[6,60,139,170],"for":[7,109,186],"reduced-order":[8,103],"modelling":[9],"in":[10,50,112,121],"boundary":[11,33,68,156],"problems.":[13],"The":[14,58,125,138],"dynamics":[15,56],"of":[16,78,82,98,180],"flow":[17,81,188],"systems":[18],"are":[19],"typically":[20],"described":[21],"by":[22,90],"partial":[23],"differential":[24],"equations":[25],"where":[26,172],"the":[27,30,52,55,64,67,79,83,99,114,122,130,151,160,169,187],"affects":[29],"system":[31,123],"through":[32],"conditions.":[34,137],"From":[35],"a":[36,74,173,181],"design":[38],"perspective":[39],"it":[40],"most":[42],"desirable":[43],"and":[44,85],"natural":[45],"to":[46,62,129,144,167,177],"employ":[47],"finite-dimensional":[48],"representations":[49],"which":[51,113],"enters":[54],"directly.":[57],"here":[61],"resolve":[63],"from":[66],"conditions":[69],"based":[71],"on":[72],"obtaining":[73],"proper":[75],"orthogonal":[76],"decomposition":[77,89],"unforced":[80],"system,":[84],"then":[86,107,142],"augmenting":[87],"this":[88,110],"optimally":[91],"computed":[92],"actuation":[93],"modes,":[94],"built":[95],"using":[96],"snapshots":[97],"actuated":[100],"flow.":[101],"Galerkin":[104],"model":[105,126],"derived":[108],"expansion,":[111],"appears":[116],"as":[117],"an":[118,145],"explicit":[119],"term":[120],"dynamics.":[124],"reduces":[127],"exactly":[128],"original":[131],"baseline":[132],"case":[133],"under":[134],"zero":[135],"compared":[143],"existing":[146],"technique,":[149],"namely":[150],"sub-domain":[152],"method.":[154],"example":[158],"regarding":[159],"2D":[161,183],"incompressible":[162],"Navier\u2013Stokes":[163],"equation":[164],"considered":[166],"illustrate":[168],"method,":[171],"controller":[174],"designed":[176],"achieve":[178],"tracking":[179],"desired":[182],"spatial":[184],"profile":[185],"velocity.":[189]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}