{"id":"https://openalex.org/W4405178934","doi":"https://doi.org/10.1109/tac.2024.3514520","title":"Sampled-Data Finite-Dimensional Boundary Control of 2-D Semilinear Parabolic Stochastic PDEs","display_name":"Sampled-Data Finite-Dimensional Boundary Control of 2-D Semilinear Parabolic Stochastic PDEs","publication_year":2024,"publication_date":"2024-12-09","ids":{"openalex":"https://openalex.org/W4405178934","doi":"https://doi.org/10.1109/tac.2024.3514520"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3514520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3514520","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic 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":null,"display_name":"Pengfei Wang","orcid":"https://orcid.org/0000-0002-3243-5194"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Pengfei Wang","raw_affiliation_strings":["School of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007830129","display_name":"Emilia Fridman","orcid":"https://orcid.org/0000-0002-8773-9494"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Emilia Fridman","raw_affiliation_strings":["School of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.3554,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66714308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"70","issue":"5","first_page":"3456","last_page":"3463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9562000036239624,"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":0.9562000036239624,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.6656727194786072},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5828126668930054},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.49966001510620117},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4761621654033661},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4684982895851135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.461574912071228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4612537622451782},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44805052876472473},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.4415935277938843},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.4271661341190338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4215450882911682},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.416107177734375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34581711888313293}],"concepts":[{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.6656727194786072},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5828126668930054},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.49966001510620117},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4761621654033661},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4684982895851135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.461574912071228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4612537622451782},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44805052876472473},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.4415935277938843},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.4271661341190338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4215450882911682},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.416107177734375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34581711888313293},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3514520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3514520","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G177156421","display_name":null,"funder_award_id":"446/24","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W203646022","https://openalex.org/W204489328","https://openalex.org/W1483382787","https://openalex.org/W1966922258","https://openalex.org/W2003814439","https://openalex.org/W2020622868","https://openalex.org/W2109680874","https://openalex.org/W2159841361","https://openalex.org/W2170080890","https://openalex.org/W2424026106","https://openalex.org/W2499641798","https://openalex.org/W2578989252","https://openalex.org/W2742422565","https://openalex.org/W2774438924","https://openalex.org/W2910237157","https://openalex.org/W2942948303","https://openalex.org/W2962715862","https://openalex.org/W3006295337","https://openalex.org/W3089241465","https://openalex.org/W3102041080","https://openalex.org/W3137969337","https://openalex.org/W3206689978","https://openalex.org/W3207582864","https://openalex.org/W3216322513","https://openalex.org/W4206918397","https://openalex.org/W4225400595","https://openalex.org/W4229928878","https://openalex.org/W4240729697","https://openalex.org/W4311499188","https://openalex.org/W4313444021","https://openalex.org/W4387321702","https://openalex.org/W4391141504","https://openalex.org/W4392453847","https://openalex.org/W4400946986","https://openalex.org/W4408732209","https://openalex.org/W6810383594"],"related_works":["https://openalex.org/W1967450583","https://openalex.org/W2066764747","https://openalex.org/W4253091646","https://openalex.org/W2354582784","https://openalex.org/W2385175414","https://openalex.org/W2029287765","https://openalex.org/W203831624","https://openalex.org/W2083817219","https://openalex.org/W3131706438","https://openalex.org/W2969693569"],"abstract_inverted_index":{"This":[0],"article":[1],"addresses":[2],"the":[3,31,35,41,52,58,71,87,107,118,125,135,143],"sampled-data":[4,76],"boundary":[5],"stabilization":[6],"of":[7,37,55,106,147],"2-D":[8,59],"semilinear":[9],"parabolic":[10],"stochastic":[11,92,104],"partial":[12],"differential":[13,94],"equation":[14,95],"(PDEs)":[15],"with":[16,30,70],"globally":[17],"Lipschitz":[18],"nonlinearities.":[19],"We":[20,50],"consider":[21],"Dirichlet":[22],"actuation":[23],"and":[24,61,97,100,121,145],"design":[25],"a":[26,67,81,102],"finite-dimensional":[27],"state-feedback":[28],"controller":[29,119],"shape":[32],"functions":[33],"in":[34],"form":[36],"eigenfunctions":[38],"corresponding":[39,72,88],"to":[40,57,66],"first":[42],"<inline-formula":[43,128],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[44,129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[45,130],"notation=\"LaTeX\">$N$</tex-math></inline-formula>":[46],"comparatively":[47],"unstable":[48],"eigenvalues.":[49],"extend":[51],"trigonometric":[53],"change":[54],"variables":[56],"case":[60],"further":[62],"improve":[63],"it,":[64],"leading":[65],"dynamic":[68],"extension":[69,105],"proportional-integral":[73],"controller,":[74],"where":[75],"control":[77],"is":[78],"implemented":[79],"via":[80],"generalized":[82],"hold":[83],"device.":[84],"By":[85],"employing":[86],"It\u00f4":[89],"formulas":[90],"for":[91,116,134],"ordinary":[93],"(ODEs)":[96],"PDEs,":[98],"respectively,":[99],"suggesting":[101],"nontrivial":[103],"descriptor":[108],"method,":[109],"we":[110],"derive":[111],"linear":[112],"matrix":[113],"inequalities":[114],"(LMIs)":[115],"finding":[117],"dimension":[120],"gain":[122],"that":[123],"guarantees":[124],"global":[126],"mean-square":[127],"notation=\"LaTeX\">$L^{2}$</tex-math></inline-formula>":[131],"exponential":[132],"stability":[133],"full-order":[136],"closed-loop":[137],"system.":[138],"A":[139],"numerical":[140],"example":[141],"demonstrates":[142],"efficiency":[144],"advantage":[146],"our":[148],"method.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
