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Floquet Transformations for Discrete-time Systems: Equivalence between periodic systems and time-invariant ones
http://hdl.handle.net/2237/12125
d8cebcd7-d5ff-4f92-9d31-fb7256ad3b80
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2009-08-28 | |||||
タイトル | ||||||
タイトル | Floquet Transformations for Discrete-time Systems: Equivalence between periodic systems and time-invariant ones | |||||
著者 |
Hayakawa, Yoshikazu
× Hayakawa, Yoshikazu× Jimbo, Tomohiko |
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権利 | ||||||
権利情報 | Copyright © 2008 IEEE. Reprinted from 47th IEEE Conference on Decision and Control, 2008. CDC 2008, p.5140-5145. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Nagoya University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. |
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抄録 | ||||||
内容記述 | This paper considers discrete-time periodic linear systems and their Floquet transformations, by which the periodic systems can be equivalently transformed to time-invariant ones. When the system matrix is nonsingular, it is very easy to derive the discrete-time Floquet transformation, however, when the system matrix is singular, the derivation is essentially different from the continuous-time case. A necessary and sufficient condition for Floquet transformation to exist has been already known and this paper aims to give a simpler proof, by which all the similarity classes of Floquet transformations could be made clear. And also an extension of Floquet transformations to non-autonomous systems is shown. |
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内容記述タイプ | Abstract | |||||
出版者 | ||||||
出版者 | IEEE | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0191-2216 | |||||
書誌情報 |
47th IEEE Conference on Decision and Control (CDC 2008) p. 5140-5145, 発行日 2008-12 |
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application/pdf | ||||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://dx.doi.org/10.1109/CDC.2008.4738701 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/12125 | |||||
識別子タイプ | HDL |