{"id":"https://openalex.org/W2149693487","doi":"https://doi.org/10.1109/cdc.2004.1428928","title":"Feedback control of surface roughness using the linearized stochastic Kuramoto-Sivashinsky equation","display_name":"Feedback control of surface roughness using the linearized stochastic Kuramoto-Sivashinsky equation","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2149693487","doi":"https://doi.org/10.1109/cdc.2004.1428928","mag":"2149693487"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1428928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428928","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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/A5113515290","display_name":"Yiming Lou","orcid":null},"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":"Yiming Lou","raw_affiliation_strings":["Department of Chemical Engineering, University of California, 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"]}]},{"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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25714286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":null,"first_page":"3027","last_page":"3032 Vol.3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10591","display_name":"Theoretical and Computational Physics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9761000275611877,"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/T10379","display_name":"Cellular Mechanics and Interactions","score":0.946399986743927,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6262041330337524},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6231531500816345},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5768192410469055},{"id":"https://openalex.org/keywords/surface-roughness","display_name":"Surface roughness","score":0.5609048008918762},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5318602919578552},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.47777092456817627},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4566875696182251},{"id":"https://openalex.org/keywords/surface-finish","display_name":"Surface finish","score":0.45413738489151},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4212248921394348},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40647241473197937},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38631367683410645},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3767409026622772},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21204397082328796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18015044927597046},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0919421911239624},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06375452876091003}],"concepts":[{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6262041330337524},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6231531500816345},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5768192410469055},{"id":"https://openalex.org/C107365816","wikidata":"https://www.wikidata.org/wiki/Q114817","display_name":"Surface roughness","level":2,"score":0.5609048008918762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5318602919578552},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.47777092456817627},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4566875696182251},{"id":"https://openalex.org/C71039073","wikidata":"https://www.wikidata.org/wiki/Q3439090","display_name":"Surface finish","level":2,"score":0.45413738489151},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4212248921394348},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40647241473197937},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38631367683410645},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3767409026622772},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21204397082328796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18015044927597046},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0919421911239624},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06375452876091003},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2004.1428928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428928","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","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":22,"referenced_works":["https://openalex.org/W40130861","https://openalex.org/W1536997931","https://openalex.org/W1963705017","https://openalex.org/W1982115118","https://openalex.org/W1996225983","https://openalex.org/W2000401286","https://openalex.org/W2001620602","https://openalex.org/W2002857663","https://openalex.org/W2010701932","https://openalex.org/W2030149322","https://openalex.org/W2042321087","https://openalex.org/W2042766445","https://openalex.org/W2047425478","https://openalex.org/W2056313271","https://openalex.org/W2078746189","https://openalex.org/W2079000916","https://openalex.org/W2079790951","https://openalex.org/W2121607763","https://openalex.org/W2122466205","https://openalex.org/W2156621573","https://openalex.org/W3021402964","https://openalex.org/W6650335610"],"related_works":["https://openalex.org/W620239920","https://openalex.org/W109055908","https://openalex.org/W1546584948","https://openalex.org/W2999616507","https://openalex.org/W2060658157","https://openalex.org/W2972896374","https://openalex.org/W4237379163","https://openalex.org/W2164842548","https://openalex.org/W3125773376","https://openalex.org/W2085400897"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"control":[4,77],"the":[5,12,27,48,57,62,73,78,83,88,92,97,107],"roughness":[6,94],"of":[7,34,47,82,106],"a":[8,18,32,101],"surface":[9,63,79,93],"described":[10],"by":[11,40,96,112],"linearized":[13,28,49],"stochastic":[14,20,29,36,50],"Kuramoto-Sivashinsky":[15],"equation":[16],"(KSE),":[17],"fourth-order":[19],"partial":[21],"differential":[22,38],"equation.":[23],"We":[24],"initially":[25],"reformulate":[26],"KSE":[30,51],"into":[31],"system":[33,85,99],"infinite":[35],"ordinary":[37],"equations":[39],"using":[41],"modal":[42],"decomposition.":[43],"A":[44,65],"finite-dimensional":[45,74],"approximation":[46,75],"is":[52,69,110],"then":[53],"derived":[54],"that":[55,87],"captures":[56],"dominant":[58],"mode":[59],"contribution":[60],"to":[61,76,100],"roughness.":[64,80],"state":[66],"feedback":[67],"controller":[68,89],"designed":[70],"based":[71],"on":[72],"Analysis":[81],"closed-loop":[84],"shows":[86],"can":[90],"drive":[91],"governed":[95],"infinite-dimensional":[98],"desired":[102],"level.":[103],"The":[104],"effectiveness":[105],"proposed":[108],"method":[109],"demonstrated":[111],"numerical":[113],"simulations.":[114]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
