{"id":"https://openalex.org/W2022070682","doi":"https://doi.org/10.1137/080744219","title":"Some Equivalent Results with Yakubovich's S -Lemma","display_name":"Some Equivalent Results with Yakubovich's S -Lemma","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2022070682","doi":"https://doi.org/10.1137/080744219","mag":"2022070682"},"language":"en","primary_location":{"id":"doi:10.1137/080744219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744219","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5024077692","display_name":"Yan Zi-zong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan Zi-zong","raw_affiliation_strings":["zzyan@yangtzeu.edu.cn and xin3fei@21cn.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"zzyan@yangtzeu.edu.cn and xin3fei@21cn.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102206031","display_name":"Guo Jinhai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo Jin-hai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3595,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.6835021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"48","issue":"7","first_page":"4474","last_page":"4480"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.9043180346488953},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.8491250276565552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.554027259349823},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.445141077041626},{"id":"https://openalex.org/keywords/fundamental-theorem","display_name":"Fundamental theorem","score":0.4306575059890747},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.15006139874458313},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.0500832200050354}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9043180346488953},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8491250276565552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.554027259349823},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.445141077041626},{"id":"https://openalex.org/C194886279","wikidata":"https://www.wikidata.org/wiki/Q430271","display_name":"Fundamental theorem","level":3,"score":0.4306575059890747},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.15006139874458313},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0500832200050354},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080744219","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080744219","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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":16,"referenced_works":["https://openalex.org/W1969824718","https://openalex.org/W2000586323","https://openalex.org/W2005037112","https://openalex.org/W2010364290","https://openalex.org/W2010725619","https://openalex.org/W2039867272","https://openalex.org/W2061269184","https://openalex.org/W2067959964","https://openalex.org/W2068382925","https://openalex.org/W2074449397","https://openalex.org/W2077088183","https://openalex.org/W2077205953","https://openalex.org/W2091850740","https://openalex.org/W2110540077","https://openalex.org/W2128916604","https://openalex.org/W2140214428"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1979597421","https://openalex.org/W1097487277","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2768610039","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2606121466"],"abstract_inverted_index":{"This":[0,30],"paper":[1,31],"presents":[2],"an":[3,53],"elementary":[4],"proof":[5],"of":[6,42,49],"nonstrict":[7,21],"Finsler's":[8,22,25],"theorem":[9],"and":[10,27],"discusses":[11,32],"five":[12],"closely":[13],"related":[14,36],"theorems:":[15],"Yakubovich's":[16],"S-lemma,":[17],"Yuan's":[18],"alternative":[19],"theorem,":[20,23,26],"strict":[24],"Finsler\u2013Calabi's":[28],"theorem.":[29],"how":[33],"one":[34],"is":[35],"with":[37],"another.":[38],"At":[39],"the":[40],"end":[41],"this":[43],"article":[44],"we":[45],"present":[46],"some":[47],"extensions":[48],"these":[50],"results":[51],"to":[52],"infinite-dimensional":[54],"vector":[55],"space.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
