{"id":"https://openalex.org/W2163027495","doi":"https://doi.org/10.1109/cdc.2005.1582146","title":"A sufficient condition for a triple of linear systems to be simultaneously stabilizable in a behavioral framework","display_name":"A sufficient condition for a triple of linear systems to be simultaneously stabilizable in a behavioral framework","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2163027495","doi":"https://doi.org/10.1109/cdc.2005.1582146","mag":"2163027495"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582146","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":"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/A5043778741","display_name":"Osamu Kaneko","orcid":"https://orcid.org/0000-0003-0675-8296"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"O. Kaneko","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017362841","display_name":"Takao Fujii","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Fujii","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043778741"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20766957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"149","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.7369225025177002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6110440492630005},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5702072381973267},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5665778517723083},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46806517243385315},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45819103717803955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4294062554836273},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4281519055366516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3085777163505554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2054523229598999},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15045559406280518},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10290715098381042},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09709703922271729},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0950852632522583}],"concepts":[{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.7369225025177002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6110440492630005},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5702072381973267},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5665778517723083},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46806517243385315},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45819103717803955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4294062554836273},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4281519055366516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3085777163505554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2054523229598999},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15045559406280518},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10290715098381042},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09709703922271729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0950852632522583},{"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},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1582146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582146","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W167072680","https://openalex.org/W1490746760","https://openalex.org/W1516923635","https://openalex.org/W1973258966","https://openalex.org/W1998463089","https://openalex.org/W2004304277","https://openalex.org/W2012927169","https://openalex.org/W2020565481","https://openalex.org/W2029018540","https://openalex.org/W2029251835","https://openalex.org/W2033899045","https://openalex.org/W2046143702","https://openalex.org/W2056517808","https://openalex.org/W2084500162","https://openalex.org/W2089225351","https://openalex.org/W2089703784","https://openalex.org/W2090357863","https://openalex.org/W2117837642","https://openalex.org/W2130525910","https://openalex.org/W2135944875","https://openalex.org/W2146560209","https://openalex.org/W2738635245","https://openalex.org/W2798813531"],"related_works":["https://openalex.org/W1493568480","https://openalex.org/W4385967523","https://openalex.org/W2995727521","https://openalex.org/W2380708104","https://openalex.org/W3040157893","https://openalex.org/W3034355957","https://openalex.org/W3142934771","https://openalex.org/W1996669592","https://openalex.org/W1573368088","https://openalex.org/W1559525043"],"abstract_inverted_index":{"In":[0],"this":[1,121],"paper,":[2],"we":[3,19,42,69,124],"address":[4],"simultaneous":[5,46],"stabilization":[6],"problem":[7],"for":[8,26,77,129],"a":[9,15,21,27,38,45,49,55,71,78,126,130],"triple":[10,131],"of":[11,30,63,81,95,98,103,111,114,132,141],"linear":[12,31,82,133],"systems":[13,32,83,134],"within":[14],"behavioral":[16,39],"framework.":[17,40],"First,":[18],"provide":[20],"necessary":[22,73],"and":[23,74],"sufficient":[24,75,127],"condition":[25,76,90,128],"given":[28,79,115],"pair":[29,80],"to":[33,84,135],"be":[34,85,136],"simultaneously":[35,86,137],"stabilizable":[36,138],"in":[37,93,139],"Next,":[41],"show":[43],"that":[44],"stabilizer":[47],"has":[48],"symmetric":[50],"structure,":[51],"which":[52],"is":[53,91],"also":[54],"self-standing":[56],"interesting":[57],"result":[58],"from":[59],"the":[60,96,112,142],"theoretical":[61],"points":[62],"view.":[64],"By":[65],"using":[66,120],"these":[67],"results,":[68],"give":[70,125],"new":[72,89,122],"stabilizable.":[87],"This":[88],"described":[92],"terms":[94,140],"solvability":[97],"polynomial":[99,104],"matrix":[100],"equations":[101],"consisting":[102],"matrices":[105],"inducing":[106],"kernel":[107],"or":[108],"image":[109],"representations":[110],"behaviors":[113],"two":[116],"behaviors.":[117,143],"Finally,":[118],"by":[119],"condition,":[123]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}