{"id":"https://openalex.org/W3159869008","doi":"https://doi.org/10.1109/lcsys.2021.3084525","title":"Sub-Predictors and Classical Predictors for Finite-Dimensional Observer-Based Control of Parabolic PDEs","display_name":"Sub-Predictors and Classical Predictors for Finite-Dimensional Observer-Based Control of Parabolic PDEs","publication_year":2021,"publication_date":"2021-05-28","ids":{"openalex":"https://openalex.org/W3159869008","doi":"https://doi.org/10.1109/lcsys.2021.3084525","mag":"3159869008"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2021.3084525","doi":"https://doi.org/10.1109/lcsys.2021.3084525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3084525","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-2"],"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 Control Systems Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.13294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024245461","display_name":"Rami Katz","orcid":"https://orcid.org/0000-0002-8010-8462","observed_orcids":["https://orcid.org/0000-0002-8010-8462"]},"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":"Rami Katz","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0002-8010-8462","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","observed_orcids":["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","Tel Aviv University *"],"raw_orcid":"https://orcid.org/0000-0002-8773-9494","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University *","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":1.6923,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.82609559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"626","last_page":"631"},"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":0.9901999831199646,"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":0.9901999831199646,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.008999999612569809,"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/T11081","display_name":"Advanced Control Systems Design","score":0.0003000000142492354,"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/input-delay-compensation","display_name":"input delay compensation","score":0.949999988079071},{"id":"https://openalex.org/keywords/observer-based-control","display_name":"observer-based control","score":0.8299999833106995},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equations","display_name":"parabolic equations","score":0.8320000171661377},{"id":"https://openalex.org/keywords/heat-equation","display_name":"heat equation","score":0.8799999952316284},{"id":"https://openalex.org/keywords/modal-decomposition","display_name":"modal decomposition","score":0.7760000228881836},{"id":"https://openalex.org/keywords/nonlocal-measurement","display_name":"nonlocal measurement","score":0.7609999775886536},{"id":"https://openalex.org/keywords/linear-matrix-inequalities","display_name":"linear matrix inequalities","score":0.8519999980926514},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"exponential stability","score":0.7099999785423279}],"concepts":[{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.7684626579284668},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7345766425132751},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7018834948539734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6523642539978027},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5866701602935791},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5095058083534241},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4563376009464264},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45453929901123047},{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.4504639804363251},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28756165504455566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25852853059768677},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1197974681854248},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/lcsys.2021.3084525","doi":"https://doi.org/10.1109/lcsys.2021.3084525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3084525","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-2"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2104.13294","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.13294","pdf_url":"https://arxiv.org/pdf/2104.13294","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3159869008","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2104.13294","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:iris.unitn.it:11572/436717","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/436717","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2104.13294","doi":"https://doi.org/10.48550/arxiv.2104.13294","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.13294","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.13294","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.13294","pdf_url":"https://arxiv.org/pdf/2104.13294","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1854307505","display_name":null,"funder_award_id":"673/19","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"},{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159869008.pdf","grobid_xml":"https://content.openalex.org/works/W3159869008.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W564609686","https://openalex.org/W1527296550","https://openalex.org/W1968452123","https://openalex.org/W1979801964","https://openalex.org/W1987089714","https://openalex.org/W2020622868","https://openalex.org/W2021731075","https://openalex.org/W2058666951","https://openalex.org/W2063540702","https://openalex.org/W2078746189","https://openalex.org/W2112900771","https://openalex.org/W2149823234","https://openalex.org/W2150816890","https://openalex.org/W2578989252","https://openalex.org/W2593108859","https://openalex.org/W2595680003","https://openalex.org/W2743547994","https://openalex.org/W2783003624","https://openalex.org/W2883755151","https://openalex.org/W2970901879","https://openalex.org/W2972453606","https://openalex.org/W3006295337","https://openalex.org/W3089241465","https://openalex.org/W3099026377","https://openalex.org/W3102041080","https://openalex.org/W3118803785","https://openalex.org/W4225400595","https://openalex.org/W4240729697","https://openalex.org/W6810466727"],"related_works":["https://openalex.org/W4225400595","https://openalex.org/W4387321702","https://openalex.org/W4391020339","https://openalex.org/W3108442541","https://openalex.org/W4281855051","https://openalex.org/W3102041080","https://openalex.org/W2972453606","https://openalex.org/W3089241465","https://openalex.org/W4392453847","https://openalex.org/W2913014971"],"abstract_inverted_index":{"We":[0,19,36,86],"study":[1],"constant":[2],"input":[3,56,137],"delay":[4,57],"compensation":[5],"by":[6],"using":[7],"finite-dimensional":[8],"observer-based":[9,91],"controllers":[10],"in":[11,33],"the":[12,15,34,70,78,96,116,135],"case":[13],"of":[14,40],"1D":[16],"heat":[17],"equation.":[18],"consider":[20,88],"Neumann":[21],"actuation":[22],"with":[23,30,51],"nonlocal":[24],"measurement":[25],"and":[26,67,69,75,93],"employ":[27],"modal":[28],"decomposition":[29],"N+1":[31],"modes":[32],"observer.":[35,123],"introduce":[37],"a":[38,46,89,121],"chain":[39],"M":[41,66],"sub-predictors":[42],"that":[43,77,95,115],"leads":[44,119],"to":[45,120,128,134],"closed-loop":[47],"ODE":[48],"system":[49],"coupled":[50],"infinite-dimensional":[52],"tail.":[53],"Given":[54],"an":[55],"r,":[58],"we":[59],"present":[60],"LMI":[61,98],"stability":[62,99],"conditions":[63,100],"for":[64,83,103,131],"finding":[65],"N":[68,107],"resulting":[71],"exponential":[72],"decay":[73],"rate":[74],"prove":[76],"LMIs":[79],"are":[80,101],"always":[81],"feasible":[82,102],"any":[84,104],"r.":[85],"also":[87],"classical":[90,117],"predictor":[92,118],"show":[94],"corresponding":[97],"r":[105],"provided":[106],"is":[108,126],"large":[109],"enough.":[110],"A":[111],"numerical":[112],"example":[113],"demonstrates":[114],"lower-dimensional":[122],"However,":[124],"it":[125],"known":[127],"be":[129],"hard":[130],"implementation":[132],"due":[133],"distributed":[136],"signal.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-05-10T00:00:00"}