{"id":"https://openalex.org/W2081223413","doi":"https://doi.org/10.1007/bf01940473","title":"Model reduction of 2-D systems via orthogonal series","display_name":"Model reduction of 2-D systems via orthogonal series","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2081223413","doi":"https://doi.org/10.1007/bf01940473","mag":"2081223413"},"language":"en","primary_location":{"id":"doi:10.1007/bf01940473","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01940473","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1007/BF01940473","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018997186","display_name":"P.N. Paraskevopoulos","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":"P. N. Paraskevopoulos","raw_affiliation_strings":["Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055781929","display_name":"Panayotis Panagopoulos","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":"P. E. Panagopoulos","raw_affiliation_strings":["Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044698380","display_name":"G. K. Vaitsis","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":"G. K. Vaitsis","raw_affiliation_strings":["Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, 15773, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"Electrical Engineering Department, Division of Computer Science, National Technical University of Athens, Zographou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004021368","display_name":"S.J. Varoufakis","orcid":null},"institutions":[{"id":"https://openalex.org/I1280339224","display_name":"United States Nuclear Regulatory Commission","ror":"https://ror.org/03nhmbj89","country_code":"US","type":"government","lineage":["https://openalex.org/I1280339224"]},{"id":"https://openalex.org/I4210152232","display_name":"Institute of Informatics of the Slovak Academy of Sciences","ror":"https://ror.org/04jgqpc26","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210152232"]},{"id":"https://openalex.org/I4387152169","display_name":"Institute of Informatics & Telecommunications","ror":"https://ror.org/0396t6k89","country_code":null,"type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}],"countries":["SK","US"],"is_corresponding":false,"raw_author_name":"S. J. Varoufakis","raw_affiliation_strings":["N.R.C.P.S. \u201cDemocritos,\u201d, Institute of Informatics and Telecommunications, 15310 Aghia Paraskevi, Athens, Greece","N.R.C.P.S. \u201cDemocritos,\u201d, Institute of Informatics and Telecommunications, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"N.R.C.P.S. \u201cDemocritos,\u201d, Institute of Informatics and Telecommunications, 15310 Aghia Paraskevi, Athens, Greece","institution_ids":["https://openalex.org/I4210152232"]},{"raw_affiliation_string":"N.R.C.P.S. \u201cDemocritos,\u201d, Institute of Informatics and Telecommunications, Athens, Greece","institution_ids":["https://openalex.org/I1280339224","https://openalex.org/I4387152169"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105935199","display_name":"G.E. Antoniou","orcid":null},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. E. Antoniou","raw_affiliation_strings":["New Jersey Institute of Technology, Department of Electrical and Computer Engineering, University Heights, 07102, Newark, NJ","New Jersey Institute of Technology, Department of Electrical and Computer Engineering, University Heights, Newark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New Jersey Institute of Technology, Department of Electrical and Computer Engineering, University Heights, 07102, Newark, NJ","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"New Jersey Institute of Technology, Department of Electrical and Computer Engineering, University Heights, Newark","institution_ids":["https://openalex.org/I118118575"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.21092482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2","issue":"1","first_page":"69","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","score":0.9934999942779541,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9919999837875366,"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/overdetermined-system","display_name":"Overdetermined system","score":0.9539673328399658},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7954928874969482},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6300238370895386},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5463809967041016},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5286999940872192},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5264207720756531},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5137089490890503},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.46272721886634827},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45636364817619324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42711713910102844},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4254714250564575},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37976422905921936},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11073759198188782}],"concepts":[{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.9539673328399658},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7954928874969482},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6300238370895386},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5463809967041016},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5286999940872192},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5264207720756531},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5137089490890503},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.46272721886634827},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45636364817619324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42711713910102844},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4254714250564575},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37976422905921936},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11073759198188782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01940473","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01940473","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/10489","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF01940473","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/10489","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF01940473","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multidimensional Systems and Signal Processing","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1518024458","https://openalex.org/W1971637344","https://openalex.org/W1972293463","https://openalex.org/W1979376248","https://openalex.org/W1992377364","https://openalex.org/W2003302305","https://openalex.org/W2005894198","https://openalex.org/W2006506147","https://openalex.org/W2014710861","https://openalex.org/W2019983817","https://openalex.org/W2041162946","https://openalex.org/W2048691800","https://openalex.org/W2072964625","https://openalex.org/W2090023037","https://openalex.org/W2092907590","https://openalex.org/W2131425106","https://openalex.org/W2164894752","https://openalex.org/W2201654404","https://openalex.org/W2774646992","https://openalex.org/W2916817435"],"related_works":["https://openalex.org/W2982599709","https://openalex.org/W2046580780","https://openalex.org/W2943755613","https://openalex.org/W2518058258","https://openalex.org/W2003288928","https://openalex.org/W2081223413","https://openalex.org/W4206750214","https://openalex.org/W1511870416","https://openalex.org/W84113209","https://openalex.org/W2899605892"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}