{"id":"https://openalex.org/W2155748297","doi":"https://doi.org/10.1109/acc.2003.1239777","title":"Distributed nonlinear control of diffusion-reaction processes","display_name":"Distributed nonlinear control of diffusion-reaction processes","publication_year":2004,"publication_date":"2004-06-22","ids":{"openalex":"https://openalex.org/W2155748297","doi":"https://doi.org/10.1109/acc.2003.1239777","mag":"2155748297"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2003.1239777","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1239777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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 Eagineering, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Eagineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","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 Eagineering, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Eagineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036566464","display_name":"Ioannis G. Kevrekidis","orcid":"https://orcid.org/0000-0003-2220-3522"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"I.G. Kevrekidis","raw_affiliation_strings":["Department of Chemical Engineering and the Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering and the Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7552,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87547809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1341","last_page":"1348"},"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":0.9995999932289124,"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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.991599977016449,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.7956010103225708},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.6823997497558594},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6632490158081055},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.637057900428772},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6219715476036072},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.537701427936554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5156725645065308},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.48618000745773315},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4446408450603485},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.43945062160491943},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4342740774154663},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.4278402328491211},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4264923334121704},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.425631582736969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36180880665779114},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33284705877304077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12560832500457764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11995473504066467},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07367110252380371},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05860936641693115}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7956010103225708},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.6823997497558594},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6632490158081055},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.637057900428772},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6219715476036072},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.537701427936554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5156725645065308},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.48618000745773315},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4446408450603485},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43945062160491943},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4342740774154663},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.4278402328491211},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4264923334121704},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.425631582736969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36180880665779114},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33284705877304077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12560832500457764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11995473504066467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07367110252380371},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05860936641693115},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2003.1239777","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1239777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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":26,"referenced_works":["https://openalex.org/W40130861","https://openalex.org/W1598037072","https://openalex.org/W1994359539","https://openalex.org/W1997138061","https://openalex.org/W1997841431","https://openalex.org/W2001283109","https://openalex.org/W2020622868","https://openalex.org/W2027853018","https://openalex.org/W2057895073","https://openalex.org/W2059589124","https://openalex.org/W2063485656","https://openalex.org/W2065135854","https://openalex.org/W2068412707","https://openalex.org/W2078746189","https://openalex.org/W2081253345","https://openalex.org/W2081264254","https://openalex.org/W2085799724","https://openalex.org/W2092523591","https://openalex.org/W2106737203","https://openalex.org/W2118589723","https://openalex.org/W2136598296","https://openalex.org/W2140563796","https://openalex.org/W2149862906","https://openalex.org/W2154125198","https://openalex.org/W2173760388","https://openalex.org/W4256005802"],"related_works":["https://openalex.org/W2124287120","https://openalex.org/W1951249712","https://openalex.org/W2351235964","https://openalex.org/W2334267221","https://openalex.org/W2037688108","https://openalex.org/W2354582784","https://openalex.org/W1985614565","https://openalex.org/W2386706262","https://openalex.org/W2695807795","https://openalex.org/W2756782324"],"abstract_inverted_index":{"SUMMARY":[0],"In":[1],"this":[2,80,132],"work,":[3],"we":[4,58,112],"focus":[5],"on":[6],"distributed":[7],"control":[8,33,67,94,126],"of":[9,20,39,62,85,92,99,121],"quasi-linear":[10],"parabolic":[11,56],"partial":[12],"differential":[13],"equations":[14],"(PDEs)":[15],"and":[16,34,41,65,73,96,123],"address":[17,79],"the":[18,27,44,47,90,93,97],"problem":[19,95],"enforcing":[21],"a":[22,35,54,60,117],"prespecified":[23,105],"spatio-temporal":[24,49,106],"behaviour":[25,50],"in":[26],"closed-loop":[28],"system":[29],"using":[30],"nonlinear":[31,66,71,125],"feedback":[32,76],"sufficiently":[36,118],"large":[37,119],"number":[38,120],"actuators":[40],"sensors.":[42],"Under":[43],"assumption":[45],"that":[46,114],"desired":[48],"is":[51],"described":[52],"by":[53],"\u2018target":[55],"PDE\u2019,":[57],"use":[59,83],"combination":[61],"Galerkin\u2019s":[63],"method":[64],"techniques":[68],"to":[69,78,88,103,130],"design":[70],"state":[72],"static":[74],"output":[75],"controllers":[77],"problem.":[81],"We":[82],"examples":[84],"diffusion\u2013reaction":[86],"processes":[87],"demonstrate":[89,113],"formulation":[91],"effectiveness":[98],"our":[100],"systematic":[101],"approach":[102],"creating":[104],"behaviour.":[107],"Using":[108],"these":[109],"illustrative":[110],"examples,":[111],"both":[115],"(a)":[116],"actuators/sensors,":[122],"(b)":[124],"laws":[127],"are":[128],"needed":[129],"achieve":[131],"goal.":[133],"Copyright":[134],"#":[135],"2004":[136],"John":[137],"Wiley":[138],"&":[139],"Sons,":[140],"Ltd.":[141]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
