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Alain Oustaloup
Researcher at University of Bordeaux
Publications - 178
Citations - 8360
Alain Oustaloup is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Fractional calculus & Crone. The author has an hindex of 40, co-authored 177 publications receiving 7698 citations.
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Frequency-band complex noninteger differentiator: characterization and synthesis
TL;DR: In this article, the state-of-the-art on generalized (or any order) derivatives in physics and engineering sciences is outlined for justifying the interest of the noninteger differentiation.
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The CRONE Control of Resonant Plants: Application to a Flexible Transmission
TL;DR: The CRONE control strategy based on complex non-integer integration is presented and significant modifications are provided to control the resonance modes of the plant.
La dérivation non entière
TL;DR: In this article, Bibliographie a la fin des chapitres Reference Record created on 2004-09-07, modified on 2016-08-08 was used for reference records.
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Fractional differentiation for edge detection
TL;DR: This paper demonstrates how introducing an edge detector based on noninteger (fractional) differentiation can improve the criterion of thin detection, or detection selectivity in the case of parabolic luminance transitions, and the criterionof immunity to noise, which can be interpreted in term of robustness to noise in general.
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A Lyapunov approach to the stability of fractional differential equations
TL;DR: Lyapunov stability of fractional differential equations is addressed in this paper and two approaches are presented: the direct one is intuitive but it leads to a large dimension parametric problem while the indirect one, which is based on the continuous frequency distribution, leading to a parsimonious solution.