{"id":"https://openalex.org/W2110842473","doi":"https://doi.org/10.1109/cdc.2010.5717106","title":"Multiscale optimal control of transport-reaction system with time varying spatial domain","display_name":"Multiscale optimal control of transport-reaction system with time varying spatial domain","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2110842473","doi":"https://doi.org/10.1109/cdc.2010.5717106","mag":"2110842473"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5020821247","display_name":"James Ng","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"James Ng","raw_affiliation_strings":["Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031561953","display_name":"Stevan Dubljevi\u0107","orcid":"https://orcid.org/0000-0002-1889-1599"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stevan Dubljevic","raw_affiliation_strings":["Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047201628","display_name":"Ilyasse Aksikas","orcid":"https://orcid.org/0000-0003-4561-4439"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ilyasse Aksikas","raw_affiliation_strings":["Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada"],"affiliations":[{"raw_affiliation_string":"Department of Chemical & Materials Engineering, University of Alberta, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Department of Chemical and Materials Engineering University of Alberta T6G 2V4 Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020821247"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16276999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":null,"first_page":"858","last_page":"863"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"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":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7044680118560791},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.6485493779182434},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5210096836090088},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.48645541071891785},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4786847233772278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46828553080558777},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.467639684677124},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4586591124534607},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.45310989022254944},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4361491799354553},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.43118369579315186},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.42412614822387695},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4162343740463257},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4104308485984802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3863401412963867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38370513916015625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30677080154418945},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.26426005363464355},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23700979351997375},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13436773419380188}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7044680118560791},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.6485493779182434},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5210096836090088},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.48645541071891785},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4786847233772278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46828553080558777},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.467639684677124},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4586591124534607},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.45310989022254944},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4361491799354553},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.43118369579315186},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.42412614822387695},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4162343740463257},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4104308485984802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3863401412963867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38370513916015625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30677080154418945},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26426005363464355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23700979351997375},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13436773419380188},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W19513531","https://openalex.org/W29592539","https://openalex.org/W591755321","https://openalex.org/W648513527","https://openalex.org/W1538686203","https://openalex.org/W1542840282","https://openalex.org/W1783278075","https://openalex.org/W1976058996","https://openalex.org/W1976148789","https://openalex.org/W1993323552","https://openalex.org/W2009146225","https://openalex.org/W2027851563","https://openalex.org/W2065668980","https://openalex.org/W2067631138","https://openalex.org/W2073218866","https://openalex.org/W2081264254","https://openalex.org/W2089770370","https://openalex.org/W2104305375","https://openalex.org/W2153542388","https://openalex.org/W2522883980","https://openalex.org/W4205424143","https://openalex.org/W4211124809","https://openalex.org/W4236411817","https://openalex.org/W6648618669","https://openalex.org/W6666698583","https://openalex.org/W6669051242","https://openalex.org/W6792463778"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W1563296412","https://openalex.org/W2127238600","https://openalex.org/W2096105566","https://openalex.org/W2114791549","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433"],"abstract_inverted_index":{"This":[0,73],"paper":[1],"deals":[2],"with":[3,11,24,31,88,95,128,142,162],"the":[4,12,17,25,38,53,61,64,76,79,84,89,100,103,109,116,121,124,129,135,143,152,157,163],"multi-scale":[5],"optimal":[6,80,117,130,138,158],"control":[7,81,107,118,139,159],"of":[8,63,78,102,108,123,171],"transport-reaction":[9],"systems":[10],"underlying":[13,110],"dynamics":[14,112],"governed":[15],"by":[16,36],"second":[18],"order":[19],"rigid":[20],"body":[21],"dynamics,":[22],"coupled":[23,94,127],"parabolic":[26],"partial":[27],"differential":[28],"equations":[29,42],"(PDEs)":[30],"time-varying":[32,56,90],"spatial":[33,67,91],"domains,":[34],"developed":[35],"considering":[37],"first":[39],"principles":[40],"dynamical":[41],"for":[43],"continuum":[44],"mechanics.":[45],"A":[46],"functional":[47],"theory":[48],"is":[49,93,113,146,166],"employed":[50],"to":[51,60,151],"explore":[52],"process":[54],"model":[55],"features,":[57],"which":[58],"lead":[59],"characterization":[62,74],"time":[65],"varying":[66],"operator":[68,92],"as":[69,148,168],"a":[70,96,149,169,172],"Riesz-spectral":[71],"operator.":[72],"facilitates":[75],"formulation":[77],"problem":[82],"where":[83],"infinite-dimensional":[85],"system":[86,98],"associated":[87,141,161],"finite-dimensional":[97],"describing":[99],"motion":[101],"domain.":[104,136],"The":[105,137],"temperature":[106,164],"transportreaction":[111],"realized":[114],"through":[115],"law":[119,140,160],"regulating":[120],"trajectory":[122],"domain":[125],"boundary":[126,145],"heating":[131],"input":[132],"applied":[133],"along":[134],"domain's":[144],"obtained":[147,167],"solution":[150,170],"algebraic":[153],"Riccati":[154],"equation,":[155],"while":[156],"regulation":[165],"time-dependent":[173],"Ricatti":[174],"equation.":[175]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
