{"id":"https://openalex.org/W1981733589","doi":"https://doi.org/10.3166/ejc.11.171-179","title":"Linearization by Prolongations: New Bounds on the Number of Integrators","display_name":"Linearization by Prolongations: New Bounds on the Number of Integrators","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1981733589","doi":"https://doi.org/10.3166/ejc.11.171-179","mag":"1981733589"},"language":"en","primary_location":{"id":"doi:10.3166/ejc.11.171-179","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ejc.11.171-179","pdf_url":null,"source":{"id":"https://openalex.org/S21401918","display_name":"European Journal of Control","issn_l":"0947-3580","issn":["0947-3580","1435-5671"],"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":"European Journal of 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":"https://openalex.org/A5020730717","display_name":"Jaume Franch","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jaume Franch","raw_affiliation_strings":["Departament de Matema\u2018tica Aplicada IV, Edifici C-3, CampusNord, UPC c/ Jordi Girona 1-3, 08034-Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matema\u2018tica Aplicada IV, Edifici C-3, CampusNord, UPC c/ Jordi Girona 1-3, 08034-Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090409010","display_name":"Enric Fossas","orcid":"https://orcid.org/0000-0002-3589-6092"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Enric Fossas","raw_affiliation_strings":["Institute of Industrial and Control Engineering, UPC, Avda. Diagonal 647, pl. 11, 08028 Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Institute of Industrial and Control Engineering, UPC, Avda. Diagonal 647, pl. 11, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020730717"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":2850,"currency":"USD","value_usd":2850},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.08402382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"11","issue":"2","first_page":"171","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9962000250816345,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9962000250816345,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9872000217437744,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.984499990940094,"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/integrator","display_name":"Integrator","score":0.8248683214187622},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7465587258338928},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7137810587882996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6330002546310425},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5298972725868225},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43185582756996155},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.41347670555114746},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32765886187553406},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32449811697006226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2603389620780945},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2533975839614868},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12269052863121033},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09325960278511047},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.05732378363609314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04608219861984253},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.043880969285964966}],"concepts":[{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.8248683214187622},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7465587258338928},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7137810587882996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6330002546310425},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5298972725868225},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43185582756996155},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41347670555114746},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32765886187553406},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32449811697006226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2603389620780945},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2533975839614868},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12269052863121033},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09325960278511047},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.05732378363609314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04608219861984253},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.043880969285964966},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3166/ejc.11.171-179","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ejc.11.171-179","pdf_url":null,"source":{"id":"https://openalex.org/S21401918","display_name":"European Journal of Control","issn_l":"0947-3580","issn":["0947-3580","1435-5671"],"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":"European Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W160955151","https://openalex.org/W330099757","https://openalex.org/W1495813676","https://openalex.org/W1511649216","https://openalex.org/W1747999705","https://openalex.org/W1781903909","https://openalex.org/W1966186934","https://openalex.org/W1971902590","https://openalex.org/W2065297540","https://openalex.org/W2111953737","https://openalex.org/W2112396687","https://openalex.org/W2123567786","https://openalex.org/W2165063889","https://openalex.org/W2172061419","https://openalex.org/W2179274040","https://openalex.org/W2490951367","https://openalex.org/W3207781852","https://openalex.org/W6606529298","https://openalex.org/W6630674954","https://openalex.org/W6632780399","https://openalex.org/W6676867139","https://openalex.org/W6802135958"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2380425739","https://openalex.org/W2081322886","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2029980887","https://openalex.org/W2027541371","https://openalex.org/W2380535488","https://openalex.org/W836021966"],"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":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
