| Item type |
文献 / Documents(1) |
| 公開日 |
2019-01-22 |
| アクセス権 |
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アクセス権 |
open access |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 出版社版DOI |
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|
関連識別子 |
https://doi.org/10.1002/cta.2573 |
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関連名称 |
10.1002/cta.2573 |
| 出版タイプ |
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出版タイプ |
AM |
|
出版タイプResource |
http://purl.org/coar/version/c_ab4af688f83e57aa |
| タイトル |
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|
タイトル |
A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold |
| 著者 |
ミイノ, ユウ
伊藤, 大輔
アサハラ, ヒロユキ
高坂, 拓司
上田, 哲史
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| 抄録 |
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内容記述 |
In the previous study, a method to control chaos for switched dynamical systems with constant threshold value has been proposed. In this paper, we extend this method to the systems including a periodically moving threshold. The main control scheme is based on the pole placement, then a small control perturbation added to the moving threshold value can stabilize an unstable periodic orbit embedded within a chaotic attractor. For an arbitrary periodic function of the threshold movement, we mathematically derive the variational equations, the state feedback parameters, and a control gain by composing a suitable Poincare map. As examples, we illustrate control implementations for systems with thresholds whose movement waveforms are sinusoidal and sawtooth-shape, and unstable one and two periodic orbits in each circuit are stabilized in numerical and circuit experiments. In these experiments, we confirm enough convergence of the control input. |
| キーワード |
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|
主題 |
circuit implementation |
| キーワード |
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|
主題 |
controlling chaos |
| キーワード |
|
|
主題 |
numerical simulation |
| キーワード |
|
|
主題 |
switched dynamical system |
| 書誌情報 |
en : International Journal of Circuit Theory and Applications
巻 46,
号 12,
p. 2380-2393,
発行日 2018-10-14
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| 収録物ID |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
00989886 |
| 収録物ID |
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収録物識別子タイプ |
ISSN |
|
収録物識別子 |
1097007X |
| 収録物ID |
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収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA00680046 |
| 収録物ID |
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|
収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA11621606 |
| 出版者 |
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|
出版者 |
John Wiley & Sons Ltd |
| 備考 |
|
|
値 |
This is the peer reviewed version of the following article: Miino Y, Ito D, Asahara H, Kousaka T, Ueta T. A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold. Int J Circ Theor Appl. 2018;46:2380‐2393., which has been published in final form at https://doi.org/10.1002/cta.2573. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. |
| EID |
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|
識別子 |
345349 |
| 言語 |
|
|
言語 |
eng |
ijcta_46_12_2380.pdf (5.47 MB)
