{"id":"https://openalex.org/W2112737143","doi":"https://doi.org/10.1109/cdc.2005.1583434","title":"On the Use of the Averaging Method for the Characteristic Multiplier Placement Problem","display_name":"On the Use of the Averaging Method for the Characteristic Multiplier Placement Problem","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2112737143","doi":"https://doi.org/10.1109/cdc.2005.1583434","mag":"2112737143"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5001010042","display_name":"Ichiro Jikuya","orcid":null},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"I. Jikuya","raw_affiliation_strings":["Department of Aerospace Engineering, Graduate School of Engineering, University of Nagoya, Nagoya, Japan","Department of Aerospace Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan jikuya@nuae.nagoya-u.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, Graduate School of Engineering, University of Nagoya, Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"Department of Aerospace Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan jikuya@nuae.nagoya-u.ac.jp","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015679008","display_name":"Ichijo Hodaka","orcid":"https://orcid.org/0009-0000-3159-8912"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"I. Hodaka","raw_affiliation_strings":["Department of Micro-Nano Systems Engineering, Graduate School of Engineering, University of Nagoya, Nagoya, Japan","#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Micro-Nano Systems Engineering, Graduate School of Engineering, University of Nagoya, Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7870","last_page":"7875"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9962000250816345,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9944999814033508,"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/control-theory","display_name":"Control theory (sociology)","score":0.6932902336120605},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.6070348024368286},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5700085759162903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5231876969337463},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.472406804561615},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.45947521924972534},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4440399408340454},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4230550527572632},{"id":"https://openalex.org/keywords/periodic-system","display_name":"Periodic system","score":0.41956016421318054},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34135690331459045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33885395526885986},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3197188973426819},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3086540699005127},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13969385623931885},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.10444214940071106}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6932902336120605},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.6070348024368286},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5700085759162903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5231876969337463},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.472406804561615},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.45947521924972534},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4440399408340454},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4230550527572632},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.41956016421318054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34135690331459045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33885395526885986},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3197188973426819},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3086540699005127},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13969385623931885},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.10444214940071106},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2016337795","https://openalex.org/W2055375707","https://openalex.org/W2074549691","https://openalex.org/W2142166161","https://openalex.org/W2161980960","https://openalex.org/W2319400936","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3105627253","https://openalex.org/W1939318680","https://openalex.org/W2116164321","https://openalex.org/W2147240338","https://openalex.org/W2610939850","https://openalex.org/W1964850555","https://openalex.org/W1978413597","https://openalex.org/W2527529383","https://openalex.org/W2018882831","https://openalex.org/W2360261908"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,8,15],"novel":[4],"approach":[5],"for":[6,14],"desining":[7],"periodic":[9,20],"state":[10],"feedback":[11],"control":[12,23],"law":[13,24],"class":[16],"of":[17,34,69],"continuous-time":[18],"linear":[19],"systems.":[21],"The":[22],"generates":[25],"the":[26,32,35,40,52,60,67,70],"sufficiently":[27],"high":[28],"frequency":[29],"sinusoidal":[30],"in":[31],"coefficient":[33],"closed":[36,41,61],"loop":[37,42,62],"systems,":[38],"then":[39],"solution":[43,63,68],"is":[44,56,64],"shown":[45,58],"to":[46],"be":[47],"exponentially":[48],"stable":[49],"based":[50],"on":[51],"averaging":[53],"method.":[54],"It":[55],"also":[57],"that":[59],"approximated":[65],"by":[66],"average":[71],"system.":[72]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}