Automatic Adjustment of Delay Time and Feedback Gain in Delayed Feedback Control of Chaos

Hiroyuki NAKAJIMA; Hideo ITO; Yoshisuke UEDA

Automatic Adjustment of Delay Time and Feedback Gain in Delayed Feedback Control of Chaos

Hiroyuki NAKAJIMA, Hideo ITO, Yoshisuke UEDA

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Methods of automatically adjusting delay time and feedback gain in controlling chaos by delayed feedback control are proposed. These methods are based on a gradient-descent procedure minimizing the squared error between the current state and the delayed state. The method of adjusting delay time and that of adjusting feedback gain are applied to controlling chaos in numerical calculations of Rossler Equation and Duffing equation, respectively. Both methods are confirmed to be successful.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.9 pp.1554-1559

Publication Date: 1997/09/25

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Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

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Hiroyuki NAKAJIMA, Hideo ITO, Yoshisuke UEDA, "Automatic Adjustment of Delay Time and Feedback Gain in Delayed Feedback Control of Chaos" in IEICE TRANSACTIONS on Fundamentals, vol. E80-A, no. 9, pp. 1554-1559, September 1997, doi: .
Abstract: Methods of automatically adjusting delay time and feedback gain in controlling chaos by delayed feedback control are proposed. These methods are based on a gradient-descent procedure minimizing the squared error between the current state and the delayed state. The method of adjusting delay time and that of adjusting feedback gain are applied to controlling chaos in numerical calculations of Rossler Equation and Duffing equation, respectively. Both methods are confirmed to be successful.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e80-a_9_1554/_p

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@ARTICLE{e80-a_9_1554,
author={Hiroyuki NAKAJIMA, Hideo ITO, Yoshisuke UEDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Automatic Adjustment of Delay Time and Feedback Gain in Delayed Feedback Control of Chaos},
year={1997},
volume={E80-A},
number={9},
pages={1554-1559},
abstract={Methods of automatically adjusting delay time and feedback gain in controlling chaos by delayed feedback control are proposed. These methods are based on a gradient-descent procedure minimizing the squared error between the current state and the delayed state. The method of adjusting delay time and that of adjusting feedback gain are applied to controlling chaos in numerical calculations of Rossler Equation and Duffing equation, respectively. Both methods are confirmed to be successful.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Automatic Adjustment of Delay Time and Feedback Gain in Delayed Feedback Control of Chaos
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1554
EP - 1559
AU - Hiroyuki NAKAJIMA
AU - Hideo ITO
AU - Yoshisuke UEDA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1997
AB - Methods of automatically adjusting delay time and feedback gain in controlling chaos by delayed feedback control are proposed. These methods are based on a gradient-descent procedure minimizing the squared error between the current state and the delayed state. The method of adjusting delay time and that of adjusting feedback gain are applied to controlling chaos in numerical calculations of Rossler Equation and Duffing equation, respectively. Both methods are confirmed to be successful.
ER -