{"id":"https://openalex.org/W1557147072","doi":"https://doi.org/10.23919/ecc.2009.7074746","title":"Nonlinear robust control of parabolic distributed parameter systems by means of radial basis function neural networks and singular value","display_name":"Nonlinear robust control of parabolic distributed parameter systems by means of radial basis function neural networks and singular value","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1557147072","doi":"https://doi.org/10.23919/ecc.2009.7074746","mag":"1557147072"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074746","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074746","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5039680286","display_name":"Eleni Aggelogiannaki","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Eleni Aggelogiannaki","raw_affiliation_strings":["School of Chemical Engineering, National Technical University of Athens, Athens, Greece","School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou st., Zografou Campus, 15780, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical Engineering, National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou st., Zografou Campus, 15780, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017246181","display_name":"Haralambos Sarimveis","orcid":"https://orcid.org/0000-0002-8607-9965"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Haralambos Sarimveis","raw_affiliation_strings":["School of Chemical Engineering, National Technical University of Athens, Athens, Greece","School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou st., Zografou Campus, 15780, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical Engineering, National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou st., Zografou Campus, 15780, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2289","last_page":"2294"},"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":0.9735000133514404,"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":0.9735000133514404,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9343000054359436,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6416085362434387},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.632230281829834},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5556038022041321},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5514684915542603},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.55117267370224},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5169874429702759},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.49921441078186035},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.462414026260376},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.45804330706596375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44086018204689026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43829184770584106},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.43681466579437256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2465137243270874},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18767279386520386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18400564789772034},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1264391541481018},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1131732165813446},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07358518242835999}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6416085362434387},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.632230281829834},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5556038022041321},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5514684915542603},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.55117267370224},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5169874429702759},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.49921441078186035},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.462414026260376},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.45804330706596375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44086018204689026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43829184770584106},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.43681466579437256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2465137243270874},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18767279386520386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18400564789772034},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1264391541481018},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1131732165813446},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07358518242835999},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2009.7074746","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074746","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W39767160","https://openalex.org/W41261670","https://openalex.org/W1262895620","https://openalex.org/W1967322671","https://openalex.org/W1968586944","https://openalex.org/W1972005403","https://openalex.org/W1984474823","https://openalex.org/W1996148470","https://openalex.org/W1997138061","https://openalex.org/W1997370378","https://openalex.org/W2003535535","https://openalex.org/W2011581571","https://openalex.org/W2020808853","https://openalex.org/W2031949364","https://openalex.org/W2054020900","https://openalex.org/W2062535178","https://openalex.org/W2065135854","https://openalex.org/W2072248197","https://openalex.org/W2073218866","https://openalex.org/W2076413768","https://openalex.org/W2081324947","https://openalex.org/W2082151106","https://openalex.org/W2082283639","https://openalex.org/W2085049002","https://openalex.org/W2100822191","https://openalex.org/W2118663940","https://openalex.org/W2144044658","https://openalex.org/W2173760388","https://openalex.org/W2788378598"],"related_works":["https://openalex.org/W2245403906","https://openalex.org/W4286382504","https://openalex.org/W2393344178","https://openalex.org/W2051796801","https://openalex.org/W2495930062","https://openalex.org/W2057370678","https://openalex.org/W4206553170","https://openalex.org/W1989636425","https://openalex.org/W2441614350","https://openalex.org/W603561220"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,46,59,115,128],"nonlinear":[4,105],"robust":[5,116],"control":[6,117,135],"law":[7,118,136],"for":[8],"quasi":[9],"linear":[10],"parabolic":[11],"distributed":[12,56],"parameter":[13],"systems":[14],"is":[15,23,63,101,108],"developed.":[16],"Firstly,":[17],"the":[18,27,30,34,51,55,67,70,78,86,91,94,112,125,134,143],"singular":[19],"value":[20],"decomposition":[21],"method":[22,126],"applied":[24],"to":[25,65],"dissociate":[26],"temporal":[28,71],"from":[29,97],"spatial":[31],"behavior":[32,53],"of":[33,54,69,77,85,93,114,119,124],"system.":[35,57],"The":[36,104,122],"produced":[37],"empirical":[38],"eigenfunctions":[39],"are":[40],"used":[41],"as":[42],"basis":[43],"functions":[44],"in":[45,111,127],"reduced-order":[47],"model":[48,107,144],"that":[49,89,133],"captures":[50],"dominant":[52],"Then,":[58],"radial-basis-function":[60],"neural":[61,87],"network":[62,88],"developed":[64],"estimate":[66],"responses":[68],"coefficients,":[72],"based":[73],"on":[74],"past":[75],"values":[76],"process":[79],"input":[80],"variables.":[81],"A":[82],"state-space":[83,106],"representation":[84],"includes":[90],"distance":[92],"controlled":[95],"variables":[96],"their":[98],"set":[99,139],"points":[100],"constructed":[102],"next.":[103],"finally":[109],"incorporated":[110],"context":[113],"guaranteed":[120],"stability.":[121],"implementation":[123],"two-dimensional":[129],"tubular-reactor":[130],"example":[131],"illustrates":[132],"tracks":[137],"successfully":[138],"point":[140],"changes":[141],"despite":[142],"error.":[145]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}