{"id":"https://openalex.org/W2112387259","doi":"https://doi.org/10.23919/acc.2004.1383614","title":"Predictive control of parabolic PDEs with state and control constraints","display_name":"Predictive control of parabolic PDEs with state and control constraints","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2112387259","doi":"https://doi.org/10.23919/acc.2004.1383614","mag":"2112387259"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2004.1383614","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383614","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 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/A5031561953","display_name":"Stevan Dubljevi\u0107","orcid":"https://orcid.org/0000-0002-1889-1599"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Dubljevic","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Los Angeles, CA, USA","[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038627790","display_name":"Nael H. El\u2010Farra","orcid":"https://orcid.org/0000-0002-1973-0287"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N.H. El-Farra","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Los Angeles, CA, USA","[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016353717","display_name":"Prashant Mhaskar","orcid":"https://orcid.org/0000-0001-5866-211X"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Mhaskar","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Los Angeles, CA, USA","[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002367171","display_name":"Panagiotis D. Christofides","orcid":"https://orcid.org/0000-0002-8772-4348"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.D. Christofides","raw_affiliation_strings":["Department of Chemical Engineering, University of California, Los Angeles, CA, USA","[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2655,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.94774799,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"254","last_page":"260 vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9995999932289124,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9782999753952026,"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":0.9674000144004822,"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/model-predictive-control","display_name":"Model predictive control","score":0.7940716743469238},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6925268173217773},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5550534725189209},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5465356111526489},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5432653427124023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4648531675338745},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45192500948905945},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4414670169353485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44047772884368896},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.41823577880859375},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4109167158603668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3917383551597595},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36800259351730347},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3405603766441345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1362699568271637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12076276540756226}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7940716743469238},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6925268173217773},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5550534725189209},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5465356111526489},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5432653427124023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4648531675338745},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45192500948905945},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4414670169353485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44047772884368896},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.41823577880859375},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4109167158603668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3917383551597595},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36800259351730347},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3405603766441345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1362699568271637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12076276540756226},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2004.1383614","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383614","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1592658890","https://openalex.org/W1595065160","https://openalex.org/W1608758704","https://openalex.org/W1967322671","https://openalex.org/W1978956894","https://openalex.org/W1997138061","https://openalex.org/W2002219970","https://openalex.org/W2002265734","https://openalex.org/W2019341732","https://openalex.org/W2020622868","https://openalex.org/W2040278456","https://openalex.org/W2068412707","https://openalex.org/W2073787051","https://openalex.org/W2078746189","https://openalex.org/W2135846990","https://openalex.org/W2136713885","https://openalex.org/W2140563796","https://openalex.org/W2143891254","https://openalex.org/W2153542388","https://openalex.org/W2170716704","https://openalex.org/W2180472741","https://openalex.org/W2480084737","https://openalex.org/W3040267042"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W2385175414","https://openalex.org/W2083817219","https://openalex.org/W2264582182","https://openalex.org/W3047860677","https://openalex.org/W4399084239","https://openalex.org/W2343093002","https://openalex.org/W3131706438","https://openalex.org/W2969693569"],"abstract_inverted_index":{"This":[0],"work":[1],"focuses":[2],"on":[3,51,90],"predictive":[4,95],"control":[5,13,139],"of":[6,31,47,54,71,87,93,122,127,131],"linear":[7],"parabolic":[8],"PDEs":[9],"with":[10],"state":[11,38,83,102,137],"and":[12,34,61,82,101,138],"constraints.":[14,84,140],"Initially,":[15],"modal":[16],"decomposition":[17],"techniques":[18],"are":[19,58,115],"used":[20],"to":[21,97,119,136],"derive":[22],"a":[23,128,132],"finite-dimensional":[24,42,56],"system":[25,43,108],"that":[26],"captures":[27],"the":[28,32,36,41,52,67,69,72,79,91,94,106,112,120],"dominant":[29],"dynamics":[30],"PDE,":[33],"project":[35],"PDE":[37],"constraints":[39,103],"onto":[40],"state.":[44],"A":[45],"number":[46],"MPC":[48,113],"formulations,":[49],"designed":[50],"basis":[53],"different":[55],"approximations,":[57],"then":[59],"presented":[60],"compared.":[62],"The":[63,85],"formulations":[64,114],"differ":[65],"in":[66,78,105],"way":[68],"evolution":[70],"fast":[73],"eigenmodes":[74],"is":[75,109],"accounted":[76],"for":[77],"performance":[80],"objective":[81],"impact":[86],"these":[88],"differences":[89],"ability":[92],"controller":[96],"enforce":[98],"closed-loop":[99],"stability":[100],"satisfaction":[104],"infinite-dimensional":[107],"discussed.":[110],"Finally,":[111],"applied,":[116],"through":[117],"simulations,":[118],"problem":[121],"stabilizing":[123],"an":[124],"unstable":[125],"steady-state":[126],"linearized":[129],"model":[130],"diffusion-reaction":[133],"process":[134],"subject":[135]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}