| Item type |
文献 / Documents(1) |
| 公開日 |
2018-08-28 |
| 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/10.1142/S0218127414501259 |
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関連名称 |
10.1142/S0218127414501259 |
| 出版タイプ |
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出版タイプ |
AM |
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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 |
Controlling Chaos of Hybrid Systems by Variable Threshold Values |
| 著者 |
伊藤, 大輔
上田, 哲史
高坂, 拓司
イムラ, ジュンイチ
合原, 一幸
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| 抄録 |
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内容記述 |
We try to stabilize unstable periodic orbits embedded in a given chaotic hybrid dynamical system by a perturbation of a threshold value. In conventional chaos control methods, a control input is designed by state-feedback, which is proportional to the difference between the target orbit and the current state, and it is applied into a specific system parameter or the state as a small perturbation. During a transition state, the control system consumes a certain control energy given by integration of such perturbations. In our method, we change the threshold value dynamically to control the chaotic orbit. Unlike the OGY method and the delayed feedback control, no actual control input is added into the system. The state-feedback is utilized only to determine the dynamic threshold value, thus the orbit starting from the current threshold value reaches the next controlled threshold value without any control energy. We obtain the variation of the threshold value from the composite Poincaré map, and the controller is designed by the linear feedback theory with this variation. We demonstrate this method in simple hybrid chaotic systems and show its control performances with evaluating basins of attraction. |
| キーワード |
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主題 |
Controlling chaos |
| キーワード |
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主題 |
hybrid system |
| キーワード |
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主題 |
switching threshold |
| 書誌情報 |
en : International Journal of Bifurcation and Chaos
巻 24,
号 10,
p. 1450125,
発行日 2014-10
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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 |
02181274 |
| 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 |
17936551 |
| 収録物ID |
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収録物識別子タイプ |
NCID |
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収録物識別子 |
AA10810319 |
| 出版者 |
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出版者 |
World Scientific |
| 権利情報 |
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|
権利情報 |
Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 24, No. 10, 2014, 1450125, DOI: 10.1142/S0218127414501259 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc |
| EID |
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識別子 |
278077 |
| 言語 |
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言語 |
eng |
ijbc_24_10_1450125.pdf (1.48 MB)
