{"id":"https://openalex.org/W1998605705","doi":"https://doi.org/10.1007/s00200-005-0188-6","title":"Effective algorithms for parametrizing linear control systems over Ore algebras","display_name":"Effective algorithms for parametrizing linear control systems over Ore algebras","publication_year":2005,"publication_date":"2005-11-01","ids":{"openalex":"https://openalex.org/W1998605705","doi":"https://doi.org/10.1007/s00200-005-0188-6","mag":"1998605705"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-005-0188-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-005-0188-6","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00071407","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065051601","display_name":"Fr\u00e9d\u00e9ric Chyzak","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"F. Chyzak","raw_affiliation_strings":["INRIA Rocquencourt, ALGO project, Domaine de Voluceau BP 105, 78153, Le Chesnay Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rocquencourt, ALGO project, Domaine de Voluceau BP 105, 78153, Le Chesnay Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083637787","display_name":"Alban Quadrat","orcid":"https://orcid.org/0000-0002-6466-2172"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Quadrat","raw_affiliation_strings":["INRIA Sophia Antipolis, CAFE project, 2004, Route des Lucioles BP 93, 06902, Sophia Antipolis Cedex, France","INRIA Sophia Antipolis, CAFE project, 2004 route des lucioles, BP 93, 06902 Sophia Antipolis cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis, CAFE project, 2004, Route des Lucioles BP 93, 06902, Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Sophia Antipolis, CAFE project, 2004 route des lucioles, BP 93, 06902 Sophia Antipolis cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048450491","display_name":"Daniel Robertz","orcid":"https://orcid.org/0000-0003-1179-0012"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"D. Robertz","raw_affiliation_strings":["Lehrstuhl B f\u00fcr Mathematik, RWTH \u2013 Aachen, Templergraben 64, 52056, Aachen, Germany","Lehrstuhl B f\u00fcr Mathematik RWTH - Aachen, Templergraben 64, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik, RWTH \u2013 Aachen, Templergraben 64, 52056, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lehrstuhl B f\u00fcr Mathematik RWTH - Aachen, Templergraben 64, 52056 Aachen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065051601"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.0598,"has_fulltext":false,"cited_by_count":138,"citation_normalized_percentile":{"value":0.96975806,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"5","first_page":"319","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9962000250816345,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.7529635429382324},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6518343687057495},{"id":"https://openalex.org/keywords/differential-algebra","display_name":"Differential algebra","score":0.5626240968704224},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5515992045402527},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5353764891624451},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.5246039628982544},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.5005199909210205},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.49933362007141113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46857666969299316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46030548214912415},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4522557258605957},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.43220099806785583},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43024951219558716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.422367125749588},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38216689229011536},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.35361039638519287},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3126712143421173},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23159825801849365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11626332998275757},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06726163625717163}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.7529635429382324},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6518343687057495},{"id":"https://openalex.org/C139080492","wikidata":"https://www.wikidata.org/wiki/Q7756337","display_name":"Differential algebra","level":2,"score":0.5626240968704224},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5515992045402527},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5353764891624451},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.5246039628982544},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.5005199909210205},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.49933362007141113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46857666969299316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46030548214912415},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4522557258605957},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.43220099806785583},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43024951219558716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.422367125749588},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38216689229011536},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35361039638519287},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3126712143421173},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23159825801849365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11626332998275757},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06726163625717163},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00200-005-0188-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-005-0188-6","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.555","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.555","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-5181.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.58.8753","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.8753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-sop.inria.fr/cafe/Alban.Quadrat/Publications/INRIAreport.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00071407v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00071407","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"[Research Report] RR-5181, INRIA. 2004","raw_type":"Reports"},{"id":"pmh:oai:publications.rwth-aachen.de:146842","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/146842","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applicable algebra in engineering, communication and computing : AAECC 16(5), 319-376 (2005). doi:10.1007/s00200-005-0188-6","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00071407v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00071407","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"[Research Report] RR-5181, INRIA. 2004","raw_type":"Reports"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W50046789","https://openalex.org/W165001469","https://openalex.org/W194080415","https://openalex.org/W377544103","https://openalex.org/W383389727","https://openalex.org/W643441626","https://openalex.org/W1480952235","https://openalex.org/W1500195119","https://openalex.org/W1505763586","https://openalex.org/W1509364592","https://openalex.org/W1526781295","https://openalex.org/W1542689491","https://openalex.org/W1543638401","https://openalex.org/W1560380432","https://openalex.org/W1561016548","https://openalex.org/W1569863844","https://openalex.org/W1580085846","https://openalex.org/W1596655614","https://openalex.org/W1664115803","https://openalex.org/W1907220552","https://openalex.org/W1977049875","https://openalex.org/W1985275567","https://openalex.org/W1988349731","https://openalex.org/W1990131059","https://openalex.org/W1990603397","https://openalex.org/W2021811238","https://openalex.org/W2024702126","https://openalex.org/W2029018540","https://openalex.org/W2048075012","https://openalex.org/W2056222321","https://openalex.org/W2074929456","https://openalex.org/W2081788155","https://openalex.org/W2081940784","https://openalex.org/W2090180537","https://openalex.org/W2327339173","https://openalex.org/W2343866802","https://openalex.org/W2406624004","https://openalex.org/W2488991522","https://openalex.org/W2953756741","https://openalex.org/W3140388948","https://openalex.org/W4212995568","https://openalex.org/W4237780066","https://openalex.org/W4243098353","https://openalex.org/W4285719527","https://openalex.org/W6820395558"],"related_works":["https://openalex.org/W4287906532","https://openalex.org/W2997320962","https://openalex.org/W3011121006","https://openalex.org/W3105331232","https://openalex.org/W2912098470","https://openalex.org/W1878001761","https://openalex.org/W560339704","https://openalex.org/W564708438","https://openalex.org/W2343866802","https://openalex.org/W1998605705"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
