{"id":"https://openalex.org/W2019478132","doi":"https://doi.org/10.1016/0005-1098(78)90037-7","title":"F-reduction of the operator Riccati equation for hereditary differential systems","display_name":"F-reduction of the operator Riccati equation for hereditary differential systems","publication_year":1978,"publication_date":"1978-07-01","ids":{"openalex":"https://openalex.org/W2019478132","doi":"https://doi.org/10.1016/0005-1098(78)90037-7","mag":"2019478132"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(78)90037-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(78)90037-7","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"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":"Automatica","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/A5026288038","display_name":"Michel C. Delfour","orcid":"https://orcid.org/0000-0002-5642-2996"},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"M.C. Delfour","raw_affiliation_strings":["Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada"],"affiliations":[{"raw_affiliation_string":"Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052685554","display_name":"E. B. Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E.B. Lee","raw_affiliation_strings":["Department of electrical engineering, University of Minnesota, Minneapolis, Minn. 555455, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of electrical engineering, University of Minnesota, Minneapolis, Minn. 555455, U.S.A","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011726732","display_name":"A. Manitius","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Manitius","raw_affiliation_strings":["Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada"],"affiliations":[{"raw_affiliation_string":"Centre de Recherches Math\u00e9matiques, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Qu\u00e9bec, H3C 3J7, Canada","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026288038"],"corresponding_institution_ids":["https://openalex.org/I70931966"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":3.4065,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.92378487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"4","first_page":"385","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9940999746322632,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9940999746322632,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9850999712944031,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/riccati-equation","display_name":"Riccati equation","score":0.8904570937156677},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.8030779361724854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7856425046920776},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.7032699584960938},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6171077489852905},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6042139530181885},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5901939272880554},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49846863746643066},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4879605174064636},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45486706495285034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38175445795059204},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15606671571731567}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.8904570937156677},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.8030779361724854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7856425046920776},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.7032699584960938},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6171077489852905},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6042139530181885},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5901939272880554},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49846863746643066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4879605174064636},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45486706495285034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38175445795059204},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15606671571731567},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0005-1098(78)90037-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(78)90037-7","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"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":"Automatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1060897333","display_name":null,"funder_award_id":"AFOSR-72-2243","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4936887453","display_name":null,"funder_award_id":"A-8730","funder_id":"https://openalex.org/F4320334601","funder_display_name":"National Research Council Canada"},{"id":"https://openalex.org/G8826173609","display_name":null,"funder_award_id":"A-9240","funder_id":"https://openalex.org/F4320334601","funder_display_name":"National Research Council Canada"}],"funders":[{"id":"https://openalex.org/F4320310478","display_name":"Minist\u00e8re de l'\u00c9ducation, du Loisir et du Sport Qu\u00e9bec","ror":"https://ror.org/00bhh3q35"},{"id":"https://openalex.org/F4320334601","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W76822308","https://openalex.org/W235236266","https://openalex.org/W639940401","https://openalex.org/W652913233","https://openalex.org/W1527296550","https://openalex.org/W1674671828","https://openalex.org/W1846816832","https://openalex.org/W1964894242","https://openalex.org/W1967907471","https://openalex.org/W1971357915","https://openalex.org/W1978186749","https://openalex.org/W1978943241","https://openalex.org/W1999830806","https://openalex.org/W2018912603","https://openalex.org/W2022977680","https://openalex.org/W2028391018","https://openalex.org/W2029538224","https://openalex.org/W2039157294","https://openalex.org/W2040952535","https://openalex.org/W2044155229","https://openalex.org/W2046611774","https://openalex.org/W2048059872","https://openalex.org/W2057496358","https://openalex.org/W2067958186","https://openalex.org/W2068189246","https://openalex.org/W2072288300","https://openalex.org/W2079871064","https://openalex.org/W2091472594","https://openalex.org/W2093378895","https://openalex.org/W2115231089","https://openalex.org/W2118683725","https://openalex.org/W2121696515","https://openalex.org/W2124199337","https://openalex.org/W2124208629","https://openalex.org/W2140850191","https://openalex.org/W2159799089","https://openalex.org/W2195571328","https://openalex.org/W2479453927","https://openalex.org/W2500319160","https://openalex.org/W2886522991","https://openalex.org/W2915284023","https://openalex.org/W4253666852","https://openalex.org/W6603080035","https://openalex.org/W6621690021","https://openalex.org/W6631701805","https://openalex.org/W6637157565","https://openalex.org/W6638909722","https://openalex.org/W6660455648","https://openalex.org/W6667469980","https://openalex.org/W6687320177","https://openalex.org/W6753673306","https://openalex.org/W7011191920","https://openalex.org/W7014241919"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2547959172","https://openalex.org/W2018296362","https://openalex.org/W2727200542","https://openalex.org/W2002357820","https://openalex.org/W197349956","https://openalex.org/W2997206142","https://openalex.org/W2027962246","https://openalex.org/W2116228702","https://openalex.org/W2244442793"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}