{"id":"https://openalex.org/W2052101707","doi":"https://doi.org/10.1137/s0363012999357938","title":"Delay-induced Instabilities in Gyroscopic Systems","display_name":"Delay-induced Instabilities in Gyroscopic Systems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2052101707","doi":"https://doi.org/10.1137/s0363012999357938","mag":"2052101707"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012999357938","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999357938","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/A5006030760","display_name":"Pedro Freitas","orcid":"https://orcid.org/0000-0002-2007-5259"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pedro Freitas","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006030760"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.11390937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"1","first_page":"196","last_page":"207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7455084323883057},{"id":"https://openalex.org/keywords/gyroscope","display_name":"Gyroscope","score":0.6910536289215088},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5856482982635498},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4824260175228119},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46863579750061035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11433875560760498},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10134813189506531},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.05919760465621948}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7455084323883057},{"id":"https://openalex.org/C158488048","wikidata":"https://www.wikidata.org/wiki/Q483400","display_name":"Gyroscope","level":2,"score":0.6910536289215088},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5856482982635498},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4824260175228119},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46863579750061035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11433875560760498},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10134813189506531},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.05919760465621948},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012999357938","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999357938","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":13,"referenced_works":["https://openalex.org/W1573717114","https://openalex.org/W1607633954","https://openalex.org/W1745764796","https://openalex.org/W1973714772","https://openalex.org/W2007371451","https://openalex.org/W2011141323","https://openalex.org/W2062210472","https://openalex.org/W2063686194","https://openalex.org/W2068556779","https://openalex.org/W2087370731","https://openalex.org/W2174872450","https://openalex.org/W2329130862","https://openalex.org/W4211202937"],"related_works":["https://openalex.org/W1889129279","https://openalex.org/W4387451989","https://openalex.org/W2532412374","https://openalex.org/W2063137106","https://openalex.org/W3176084888","https://openalex.org/W2358715846","https://openalex.org/W23275807","https://openalex.org/W2761234876","https://openalex.org/W2153246813","https://openalex.org/W2168042464"],"abstract_inverted_index":{"It":[0],"is":[1,26,37],"shown":[2],"that":[3,58],"stable":[4,67],"linear":[5],"gyroscopic":[6,30],"systems":[7,62],"of":[8,60,71],"the":[9,29,33,41,51,72],"form":[10],"Mx'+":[11],"Tx'+":[12],"Kx=":[13],"0":[14],"(M":[15],">":[16],"0)":[17],"always":[18],"become":[19,65],"unstable":[20,45],"when":[21],"an":[22],"arbitrarily":[23],"small":[24],"delay":[25,73],"introduced":[27],"in":[28],"term.":[31],"In":[32],"case":[34],"where":[35],"K":[36],"negative":[38],"definite,":[39],"then":[40],"system":[42],"will":[43],"be":[44],"for":[46,68],"all":[47],"positive":[48],"delays.":[49],"On":[50],"other":[52],"hand,":[53],"examples":[54],"are":[55],"given":[56],"showing":[57],"some":[59],"these":[61],"may":[63],"actually":[64],"asymptotically":[66],"larger":[69],"values":[70],"parameter.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}