{"id":"https://openalex.org/W2044398426","doi":"https://doi.org/10.1109/ascc.2013.6606024","title":"A study on the spectrum of monodromy operator for a time-delay system","display_name":"A study on the spectrum of monodromy operator for a time-delay system","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2044398426","doi":"https://doi.org/10.1109/ascc.2013.6606024","mag":"2044398426"},"language":"en","primary_location":{"id":"doi:10.1109/ascc.2013.6606024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 9th Asian Control Conference (ASCC)","raw_type":"proceedings-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/A5100333069","display_name":"Jung Hoon Kim","orcid":"https://orcid.org/0000-0002-5387-2895"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jung Hoon Kim","raw_affiliation_strings":["Department of Electrical Engineering, Kyoto University, Kyoto, Japan","[Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan]","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001719830","display_name":"Tomomichi Hagiwara","orcid":"https://orcid.org/0000-0002-9212-9551"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomomichi Hagiwara","raw_affiliation_strings":["Department of Electrical Engineering, Kyoto University, Kyoto, Japan","[Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan]","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069109642","display_name":"Kentaro Hirata","orcid":"https://orcid.org/0000-0003-3193-7843"},"institutions":[{"id":"https://openalex.org/I75917431","display_name":"Nara Institute of Science and Technology","ror":"https://ror.org/05bhada84","country_code":"JP","type":"education","lineage":["https://openalex.org/I75917431"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kentaro Hirata","raw_affiliation_strings":["Department of Information Systems, Nara Institute of Science and Technology, Ikoma, Nara, Japan","Dept. of Inf. Syst., Nara Inst. of Sci. & Technol., Ikoma, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems, Nara Institute of Science and Technology, Ikoma, Nara, Japan","institution_ids":["https://openalex.org/I75917431"]},{"raw_affiliation_string":"Dept. of Inf. Syst., Nara Inst. of Sci. & Technol., Ikoma, Japan","institution_ids":["https://openalex.org/I75917431"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12441546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9988999962806702,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9883999824523926,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.7840433120727539},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7217399477958679},{"id":"https://openalex.org/keywords/shift-operator","display_name":"Shift operator","score":0.6964065432548523},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.6654462218284607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6474460363388062},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6162779331207275},{"id":"https://openalex.org/keywords/multiplication-operator","display_name":"Multiplication operator","score":0.5229036211967468},{"id":"https://openalex.org/keywords/quasinormal-operator","display_name":"Quasinormal operator","score":0.5171296000480652},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4780750274658203},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4755116105079651},{"id":"https://openalex.org/keywords/finite-rank-operator","display_name":"Finite-rank operator","score":0.3497474193572998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33088403940200806},{"id":"https://openalex.org/keywords/compact-operator","display_name":"Compact operator","score":0.2773280739784241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2339739203453064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17386165261268616},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.14136230945587158},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0771845281124115},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07052141427993774},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.06921592354774475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06382429599761963}],"concepts":[{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.7840433120727539},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7217399477958679},{"id":"https://openalex.org/C65630602","wikidata":"https://www.wikidata.org/wiki/Q2278680","display_name":"Shift operator","level":4,"score":0.6964065432548523},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.6654462218284607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6474460363388062},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6162779331207275},{"id":"https://openalex.org/C82916341","wikidata":"https://www.wikidata.org/wiki/Q6934990","display_name":"Multiplication operator","level":3,"score":0.5229036211967468},{"id":"https://openalex.org/C24250787","wikidata":"https://www.wikidata.org/wiki/Q7269510","display_name":"Quasinormal operator","level":4,"score":0.5171296000480652},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4780750274658203},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4755116105079651},{"id":"https://openalex.org/C99392333","wikidata":"https://www.wikidata.org/wiki/Q5450385","display_name":"Finite-rank operator","level":3,"score":0.3497474193572998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33088403940200806},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.2773280739784241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2339739203453064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17386165261268616},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.14136230945587158},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0771845281124115},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07052141427993774},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.06921592354774475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06382429599761963},{"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/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ascc.2013.6606024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ascc.2013.6606024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 9th Asian Control Conference (ASCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/98885","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/98885","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1518389014","https://openalex.org/W1533970237","https://openalex.org/W1588513474","https://openalex.org/W1969707545","https://openalex.org/W1975114074","https://openalex.org/W1988098342","https://openalex.org/W1992098478","https://openalex.org/W1998462963","https://openalex.org/W2003695932","https://openalex.org/W2004484670","https://openalex.org/W2024713406","https://openalex.org/W2029909461","https://openalex.org/W2037303886","https://openalex.org/W2076687762","https://openalex.org/W2084911649","https://openalex.org/W2140974698","https://openalex.org/W2172119888","https://openalex.org/W2172377330","https://openalex.org/W2334531728","https://openalex.org/W2525143841","https://openalex.org/W2588297134","https://openalex.org/W4213068077","https://openalex.org/W4239308190","https://openalex.org/W6659579430"],"related_works":["https://openalex.org/W4308895499","https://openalex.org/W2202672589","https://openalex.org/W2381569314","https://openalex.org/W2747847053","https://openalex.org/W2986869882","https://openalex.org/W2362518496","https://openalex.org/W2902029592","https://openalex.org/W2331237731","https://openalex.org/W2000615242","https://openalex.org/W4251460802"],"abstract_inverted_index":{"This":[0],"paper":[1,24],"studies":[2],"the":[3,28,42,49,54,73,76,82,94,110,114],"spectral":[4],"properties":[5],"of":[6,17,57,75,81,113,123],"mon-odromy":[7],"operators,":[8,101],"which":[9,53,85,102],"play":[10],"an":[11],"important":[12],"role":[13],"in":[14,108],"stability":[15],"analysis":[16],"linear":[18],"time-invariant":[19],"time-delay":[20,60],"feedback":[21],"systems.":[22],"The":[23],"is":[25,62,69,79,87,90,97,103],"motivated":[26],"by":[27,120],"fact":[29,107],"that":[30,72,93],"this":[31],"operator":[32,78,95,116],"can":[33],"actually":[34],"be":[35],"defined":[36],"naturally":[37],"on":[38,52,84],"four":[39],"spaces,":[40],"where":[41],"difference":[43],"stems":[44],"from":[45],"different":[46],"choices":[47],"for":[48],"function":[50],"space":[51],"infinite-dimensional":[55],"state":[56],"such":[58],"a":[59,104],"system":[61],"assumed":[63],"to":[64],"take":[65],"its":[66,118],"value.":[67],"It":[68,89],"first":[70],"shown":[71,92],"spectrum":[74,96,111],"monodromy":[77,100,115],"independent":[80],"spaces":[83],"it":[86],"defined.":[88],"further":[91],"continuous":[98],"at":[99],"crucial":[105],"fundamental":[106],"justifying":[109],"computation":[112],"through":[117],"approximation":[119],"any":[121],"sort":[122],"tractable":[124],"operators.":[125]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
