Application of the differential geometric method to control a noisy chaotic system via dither smoothing

Yu Min Liaw; Pi Cheng Tung

doi:10.1016/S0375-9601(97)00919-5

Application of the differential geometric method to control a noisy chaotic system via dither smoothing

Yu Min Liaw, Pi Cheng Tung

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The differential geometric method essentially requires a smooth field in a system model. It cannot be applied to a chaotic system that has a continuous but undifferentiable nonlinearity, e.g., Chua's circuit. This drawback is removed via dither smoothing techniques; then, the controlled system may work for previously unworkable nonlinearities.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	239
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(97)00919-5
State	Published - 23 Feb 1998

Keywords

Chua's circuit
Differential geometric method
Dither
Equivalent nonlinearity
Saturation

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10.1016/S0375-9601(97)00919-5

Cite this

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title = "Application of the differential geometric method to control a noisy chaotic system via dither smoothing",

abstract = "The differential geometric method essentially requires a smooth field in a system model. It cannot be applied to a chaotic system that has a continuous but undifferentiable nonlinearity, e.g., Chua's circuit. This drawback is removed via dither smoothing techniques; then, the controlled system may work for previously unworkable nonlinearities.",

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AU - Tung, Pi Cheng

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N2 - The differential geometric method essentially requires a smooth field in a system model. It cannot be applied to a chaotic system that has a continuous but undifferentiable nonlinearity, e.g., Chua's circuit. This drawback is removed via dither smoothing techniques; then, the controlled system may work for previously unworkable nonlinearities.

AB - The differential geometric method essentially requires a smooth field in a system model. It cannot be applied to a chaotic system that has a continuous but undifferentiable nonlinearity, e.g., Chua's circuit. This drawback is removed via dither smoothing techniques; then, the controlled system may work for previously unworkable nonlinearities.

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KW - Differential geometric method

KW - Dither

KW - Equivalent nonlinearity

KW - Saturation

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SN - 0375-9601

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ER -

Application of the differential geometric method to control a noisy chaotic system via dither smoothing

Abstract

Keywords

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