{"id":"https://openalex.org/W2139647252","doi":"https://doi.org/10.1109/cdc.2009.5399952","title":"Transformability from discrete-time periodic non-homogeneous systems to time-invariant ones","display_name":"Transformability from discrete-time periodic non-homogeneous systems to time-invariant ones","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2139647252","doi":"https://doi.org/10.1109/cdc.2009.5399952","mag":"2139647252"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://nagoya.repo.nii.ac.jp/records/12057","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110501389","display_name":"Yoshikazu Hayakawa","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":"Yoshikazu Hayakawa","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Nagoya, Japan","R.T.C. Riken, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"R.T.C. Riken, Japan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066055821","display_name":"T. Jimbo","orcid":"https://orcid.org/0000-0001-6863-4868"},"institutions":[{"id":"https://openalex.org/I4210165351","display_name":"Toyota Central Research and Development Laboratories (Japan)","ror":"https://ror.org/05mjgqe69","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210125472","https://openalex.org/I4210165351"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomohiko Jimbo","raw_affiliation_strings":["Toyota Central Research and Development Laboratories, Inc., Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toyota Central Research and Development Laboratories, Inc., Japan","institution_ids":["https://openalex.org/I4210165351"]}]}],"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":0.27139185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1746","last_page":"1751"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9976999759674072,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9976999759674072,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.996999979019165,"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":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.8672342300415039},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.8319535255432129},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.7309094667434692},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.7306762933731079},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6475109457969666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5760904550552368},{"id":"https://openalex.org/keywords/periodic-system","display_name":"Periodic system","score":0.5113410353660583},{"id":"https://openalex.org/keywords/matrix-similarity","display_name":"Matrix similarity","score":0.46794217824935913},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.446831077337265},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43306174874305725},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4243423342704773},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40490400791168213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38112306594848633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3032665252685547},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12167829275131226},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11740374565124512},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0813787579536438},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07599040865898132},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.06092149019241333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05953618884086609}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.8672342300415039},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.8319535255432129},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.7309094667434692},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.7306762933731079},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6475109457969666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760904550552368},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.5113410353660583},{"id":"https://openalex.org/C39739852","wikidata":"https://www.wikidata.org/wiki/Q254491","display_name":"Matrix similarity","level":3,"score":0.46794217824935913},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.446831077337265},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43306174874305725},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4243423342704773},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40490400791168213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38112306594848633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3032665252685547},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12167829275131226},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11740374565124512},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0813787579536438},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07599040865898132},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.06092149019241333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05953618884086609},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5399952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:irdb.nii.ac.jp:01152:0001455203","is_oa":true,"landing_page_url":"https://nagoya.repo.nii.ac.jp/records/12057","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference (CDC/CCC 2009)","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01152:0001455203","is_oa":true,"landing_page_url":"https://nagoya.repo.nii.ac.jp/records/12057","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference (CDC/CCC 2009)","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1488435683","https://openalex.org/W1534096605","https://openalex.org/W1971614731","https://openalex.org/W2015373818","https://openalex.org/W2028170488","https://openalex.org/W2079300286","https://openalex.org/W2111828158","https://openalex.org/W2128978199","https://openalex.org/W2130613450","https://openalex.org/W2152366256","https://openalex.org/W2158082930","https://openalex.org/W2161719008","https://openalex.org/W2161913224","https://openalex.org/W6632138476","https://openalex.org/W6679103854"],"related_works":["https://openalex.org/W2425100171","https://openalex.org/W2021257492","https://openalex.org/W2314392672","https://openalex.org/W4236460105","https://openalex.org/W2128753966","https://openalex.org/W2161733190","https://openalex.org/W2139647252","https://openalex.org/W2706888887","https://openalex.org/W2128494821","https://openalex.org/W2160376703"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"when":[3],"a":[4,13,31],"discrete-time":[5,39],"periodic":[6],"non-homogeneous":[7,65],"system":[8,33],"can":[9],"be":[10],"transformed":[11],"to":[12,58],"time-invariant":[14],"one":[15],"by":[16],"using":[17],"regular":[18],"linear":[19],"mappings":[20],"of":[21,47,64],"state":[22],"variables,":[23],"inputs":[24],"and":[25,42],"outputs,":[26],"respectively.":[27],"The":[28],"problem":[29],"on":[30,62],"homogeneous":[32],"has":[34],"been":[35,51],"already":[36],"solved":[37],"as":[38],"Floquet":[40,48],"transformation,":[41],"also":[43],"the":[44],"similarity":[45],"classes":[46],"transformations":[49],"have":[50],"characterized.":[52],"Those":[53],"previous":[54],"results":[55],"are":[56],"used":[57],"derive":[59],"some":[60],"conditions":[61],"transformability":[63],"systems.":[66]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
