This letter proposes a pulse width modulated (PWM) control method which can stabilize chaotic orbits onto unstable fixed points and unstable periodic orbits. Some numerical experiments using the Lorenz equation show that chaotic orbits can be stabilized by the PWM control method. Furthermore, we investigate the stability in the neighborhood of an unstable fixed point and discuss the stability condition of the PWM control method.
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Keiji KONISHI, Masahiro OTANI, Hideki KOKAME, "Pulse Width Modulated Control of Chaotic Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E79-A, no. 3, pp. 381-385, March 1996, doi: .
Abstract: This letter proposes a pulse width modulated (PWM) control method which can stabilize chaotic orbits onto unstable fixed points and unstable periodic orbits. Some numerical experiments using the Lorenz equation show that chaotic orbits can be stabilized by the PWM control method. Furthermore, we investigate the stability in the neighborhood of an unstable fixed point and discuss the stability condition of the PWM control method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_3_381/_p
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@ARTICLE{e79-a_3_381,
author={Keiji KONISHI, Masahiro OTANI, Hideki KOKAME, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Pulse Width Modulated Control of Chaotic Systems},
year={1996},
volume={E79-A},
number={3},
pages={381-385},
abstract={This letter proposes a pulse width modulated (PWM) control method which can stabilize chaotic orbits onto unstable fixed points and unstable periodic orbits. Some numerical experiments using the Lorenz equation show that chaotic orbits can be stabilized by the PWM control method. Furthermore, we investigate the stability in the neighborhood of an unstable fixed point and discuss the stability condition of the PWM control method.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Pulse Width Modulated Control of Chaotic Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 381
EP - 385
AU - Keiji KONISHI
AU - Masahiro OTANI
AU - Hideki KOKAME
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1996
AB - This letter proposes a pulse width modulated (PWM) control method which can stabilize chaotic orbits onto unstable fixed points and unstable periodic orbits. Some numerical experiments using the Lorenz equation show that chaotic orbits can be stabilized by the PWM control method. Furthermore, we investigate the stability in the neighborhood of an unstable fixed point and discuss the stability condition of the PWM control method.
ER -