{"id":"https://openalex.org/W2040575445","doi":"https://doi.org/10.1016/s0167-6911(01)00144-x","title":"On the nonuniqueness of singular value functions and balanced nonlinear realizations","display_name":"On the nonuniqueness of singular value functions and balanced nonlinear realizations","publication_year":2001,"publication_date":"2001-10-01","ids":{"openalex":"https://openalex.org/W2040575445","doi":"https://doi.org/10.1016/s0167-6911(01)00144-x","mag":"2040575445"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-6911(01)00144-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0167-6911(01)00144-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S016769110100144X","source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems &amp; Control Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S016769110100144X","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110056497","display_name":"W. Steven Gray","orcid":"https://orcid.org/0000-0001-7620-9474"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W.Steven Gray","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA 23529-0246, USA","Department of Electrical and Computer Engineering , Old Dominion University , Norfolk , VA , 23529-0246 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA 23529-0246, USA","institution_ids":["https://openalex.org/I81365321"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Old Dominion University , Norfolk , VA , 23529-0246 , USA","institution_ids":["https://openalex.org/I81365321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078364973","display_name":"Jacquelien M.A. Scherpen","orcid":"https://orcid.org/0000-0002-3409-5760"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jacquelien M.A. Scherpen","raw_affiliation_strings":["Faculty of Information Technology & Systems, School of Electrical Engineering, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology & Systems, School of Electrical Engineering, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110056497"],"corresponding_institution_ids":["https://openalex.org/I81365321"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.5884,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.83962922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":"3","first_page":"219","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9952999949455261,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8085966110229492},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.686676025390625},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6747894287109375},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.5584520697593689},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5194989442825317},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4843979477882385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4234638512134552},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4196890592575073},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2911040782928467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1409550905227661},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0688055157661438},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06310790777206421}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8085966110229492},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.686676025390625},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6747894287109375},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.5584520697593689},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5194989442825317},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4843979477882385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4234638512134552},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4196890592575073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2911040782928467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1409550905227661},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0688055157661438},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06310790777206421},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0167-6911(01)00144-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0167-6911(01)00144-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S016769110100144X","source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems &amp; Control Letters","raw_type":"journal-article"},{"id":"pmh:rug:oai:pure.rug.nl:publications/9cce2815-f16d-40fd-bfe3-a73360cf9ca2","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/9cce2815-f16d-40fd-bfe3-a73360cf9ca2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Systems &amp; Control Letters, 44(3), 219 - 232. ELSEVIER SCIENCE BV","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/s0167-6911(01)00144-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0167-6911(01)00144-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/S016769110100144X","source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems &amp; Control Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2040575445.pdf","grobid_xml":"https://content.openalex.org/works/W2040575445.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W66060913","https://openalex.org/W569064703","https://openalex.org/W1483470594","https://openalex.org/W1519519943","https://openalex.org/W1563885070","https://openalex.org/W2138190945","https://openalex.org/W2159808517"],"related_works":["https://openalex.org/W2389530697","https://openalex.org/W2315023318","https://openalex.org/W1990844505","https://openalex.org/W2159849569","https://openalex.org/W2391313426","https://openalex.org/W4390725884","https://openalex.org/W4296585688","https://openalex.org/W1605684283","https://openalex.org/W2354520349","https://openalex.org/W3020456639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
