{"id":"https://openalex.org/W1567862417","doi":"https://doi.org/10.3182/20070829-3-ru-4912.00044","title":"LMI APPROACH FOR SOLVING PERIODIC MATRIX RICCATI EQUATION","display_name":"LMI APPROACH FOR SOLVING PERIODIC MATRIX RICCATI EQUATION","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1567862417","doi":"https://doi.org/10.3182/20070829-3-ru-4912.00044","mag":"1567862417"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3182/20070829-3-ru-4912.00044","pdf_url":null,"source":{"id":"https://openalex.org/S2898246533","display_name":"IFAC Proceedings Volumes","issn_l":"1474-6670","issn":["1474-6670","2589-3653"],"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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.3182/20070829-3-ru-4912.00044","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059460081","display_name":"Sergei V. Gusev","orcid":"https://orcid.org/0000-0001-7384-7892"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergei V. Gusev","raw_affiliation_strings":["[Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia]"],"affiliations":[{"raw_affiliation_string":"[Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia]","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044859972","display_name":"Anton Shiriaev","orcid":"https://orcid.org/0000-0002-9404-6442"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anton S. Shiriaev","raw_affiliation_strings":["Department of Applied Physics & Electronics, Ume\u00e5 University, Ume\u00e5, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics & Electronics, Ume\u00e5 University, Ume\u00e5, Sweden#TAB#","institution_ids":["https://openalex.org/I90267481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042747240","display_name":"Leonid B. Freidovich","orcid":"https://orcid.org/0000-0003-0730-9441"},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Leonid B. Freidovich","raw_affiliation_strings":["Department of Applied Physics & Electronics, Ume\u00e5 University, Ume\u00e5, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Physics & Electronics, Ume\u00e5 University, Ume\u00e5, Sweden#TAB#","institution_ids":["https://openalex.org/I90267481"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.75,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":18,"citation_normalized_percentile":{"value":0.876896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"40","issue":"14","first_page":"254","last_page":"256"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9791,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9791,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13126","display_name":"Scientific Research and Discoveries","score":0.968,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9658,"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/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.84269875},{"id":"https://openalex.org/keywords/matrix-difference-equation","display_name":"Matrix difference equation","score":0.5328026},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.50757587}],"concepts":[{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.90601116},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.84269875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.77528995},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.6480906},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.6158816},{"id":"https://openalex.org/C47285271","wikidata":"https://www.wikidata.org/wiki/Q6787869","display_name":"Matrix difference equation","level":4,"score":0.5328026},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.50757587},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4724736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4342804},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.22339046},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.21658802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14475402},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.3182/20070829-3-ru-4912.00044","pdf_url":null,"source":{"id":"https://openalex.org/S2898246533","display_name":"IFAC Proceedings Volumes","issn_l":"1474-6670","issn":["1474-6670","2589-3653"],"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}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.3182/20070829-3-ru-4912.00044","pdf_url":null,"source":{"id":"https://openalex.org/S2898246533","display_name":"IFAC Proceedings Volumes","issn_l":"1474-6670","issn":["1474-6670","2589-3653"],"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},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W1716206684","https://openalex.org/W2002357820","https://openalex.org/W2004100265","https://openalex.org/W2009378992","https://openalex.org/W2063799102","https://openalex.org/W2093492745","https://openalex.org/W2132347660"],"related_works":["https://openalex.org/W2997206142","https://openalex.org/W2804494800","https://openalex.org/W2727200542","https://openalex.org/W2547959172","https://openalex.org/W2114783212","https://openalex.org/W2097622270","https://openalex.org/W2018296362","https://openalex.org/W2005019312","https://openalex.org/W197349956","https://openalex.org/W1561579480"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1567862417","counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-09T15:07:16.582810","created_date":"2016-06-24"}