{"id":"https://openalex.org/W1964009291","doi":"https://doi.org/10.1016/s0167-6911(02)00202-5","title":"Stratification and bundle structure of the set of conditioned invariant subspaces in the general case","display_name":"Stratification and bundle structure of the set of conditioned invariant subspaces in the general case","publication_year":2002,"publication_date":"2002-12-30","ids":{"openalex":"https://openalex.org/W1964009291","doi":"https://doi.org/10.1016/s0167-6911(02)00202-5","mag":"1964009291"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-6911(02)00202-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(02)00202-5","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"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":"Systems & Control Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037103898","display_name":"Josep Ferrer","orcid":"https://orcid.org/0000-0003-3380-231X"},"institutions":[{"id":"https://openalex.org/I4210115203","display_name":"Cl\u00ednica Diagonal","ror":"https://ror.org/023j0b748","country_code":"ES","type":"healthcare","lineage":["https://openalex.org/I4210115203"]},{"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":"J. Ferrer","raw_affiliation_strings":["Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I4210115203","https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112410675","display_name":"F. Puerta","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115203","display_name":"Cl\u00ednica Diagonal","ror":"https://ror.org/023j0b748","country_code":"ES","type":"healthcare","lineage":["https://openalex.org/I4210115203"]},{"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":"F. Puerta","raw_affiliation_strings":["Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I4210115203","https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022459749","display_name":"X. Puerta","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115203","display_name":"Cl\u00ednica Diagonal","ror":"https://ror.org/023j0b748","country_code":"ES","type":"healthcare","lineage":["https://openalex.org/I4210115203"]},{"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":"X. Puerta","raw_affiliation_strings":["Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department de Matem\u00e0tica Aplicada I. UPC, Diagonal 647, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I4210115203","https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037103898"],"corresponding_institution_ids":["https://openalex.org/I4210115203","https://openalex.org/I9617848"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11763261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"2","first_page":"77","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9936000108718872,"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/linear-subspace","display_name":"Linear subspace","score":0.8645650744438171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8012982606887817},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7046289443969727},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.6352120637893677},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.6347808241844177},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5610595941543579},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.5504438281059265},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.5393490791320801},{"id":"https://openalex.org/keywords/frame-bundle","display_name":"Frame bundle","score":0.43130582571029663},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.4270898401737213},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.41683024168014526},{"id":"https://openalex.org/keywords/vector-bundle","display_name":"Vector bundle","score":0.4058055877685547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.381814569234848},{"id":"https://openalex.org/keywords/normal-bundle","display_name":"Normal bundle","score":0.3529489040374756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.13649088144302368},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.06251087784767151}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8645650744438171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8012982606887817},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7046289443969727},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.6352120637893677},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.6347808241844177},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5610595941543579},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.5504438281059265},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.5393490791320801},{"id":"https://openalex.org/C191961195","wikidata":"https://www.wikidata.org/wiki/Q5477902","display_name":"Frame bundle","level":4,"score":0.43130582571029663},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.4270898401737213},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.41683024168014526},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.4058055877685547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.381814569234848},{"id":"https://openalex.org/C66384103","wikidata":"https://www.wikidata.org/wiki/Q2370925","display_name":"Normal bundle","level":3,"score":0.3529489040374756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.13649088144302368},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.06251087784767151},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/s0167-6911(02)00202-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(02)00202-5","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"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":"Systems & Control Letters","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/780","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/780","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:upcommons.upc.edu:2117/780","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/780","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:upcommons.upc.edu:2117/839","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/839","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:www.recercat.cat:2072/189270","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/839","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.recercat.cat:2072/190281","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/775","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/780","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/780","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1560592371","https://openalex.org/W1998030477","https://openalex.org/W2033843058","https://openalex.org/W2051579696","https://openalex.org/W2060793259","https://openalex.org/W2086189863","https://openalex.org/W2088018744"],"related_works":["https://openalex.org/W1979029667","https://openalex.org/W3105266230","https://openalex.org/W2281065905","https://openalex.org/W2791335583","https://openalex.org/W88619460","https://openalex.org/W4213132828","https://openalex.org/W4301265964","https://openalex.org/W2161996447","https://openalex.org/W3044975239","https://openalex.org/W2953139697"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}