F
François Levron
Researcher at University of Bordeaux
Publications - 20
Citations - 1928
François Levron is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Fractional calculus & Basis (linear algebra). The author has an hindex of 10, co-authored 19 publications receiving 1703 citations.
Papers
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Journal ArticleDOI
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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Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements
TL;DR: An overview of the main simulation methods of fractional systems is presented in this paper, where some improvements are proposed based on Oustaloup's recursive poles and zeros approximation of a fractional integrator in a frequency band, taking into account boundary effects around outer frequency limits.
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Brief paper: Synthesis of fractional Laguerre basis for system approximation
TL;DR: The first fractional orthogonal basis is synthesized, extrapolating the definition of Laguerre functions to any fractional order derivative and a new class of fixed denominator models is provided for fractional system approximation and identification.
Proceedings ArticleDOI
Modeling and identification of a non integer order system
TL;DR: A fractional integrator operator is defined in this paper : its originality is that its non integer order action is limited to a frequential band and the state-space representation of this operator allows modeling of more complex noninteger order differential equations.
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Brief paper: Analytical computation of the H2-norm of fractional commensurate transfer functions
TL;DR: It is proven that the @?"2-norm of a fractional transfer function with a proper integrator of order less than 0.5 may be finite and the obtained results are used to evaluate the integral squared error of closed-loop control systems.