Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives?an Expository Review

Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Igor Podlubný · IEEE Transactions on Automatic Control · 1999 · 3K citations

Nonlinear Control, Laplace Transform Formula, Engineering +10

Frequency-band complex noninteger differentiator: characterization and synthesis

A. Oustaloup, François Levron, B. Mathieu et al. · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000 · 1.7K citations

High-frequency Device, Mixed-signal Integrated Circuit, Engineering Sciences +3

Discretized Fractional Calculus

Ch. Lubich · SIAM Journal on Mathematical Analysis · 1986 · 960 citations

Numerical Analysis, Discretized Fractional Calculus, Engineering +10

Discretization schemes for fractional-order differentiators and integrators

YangQuan Chen, Kevin L. Moore · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002 · 559 citations

Numerical Analysis, Pade Approximant, Discretization Methods +9

The CRONE Control of Resonant Plants: Application to a Flexible Transmission

A. Oustaloup, B. Mathieu, Patrick Lanusse · European Journal of Control · 1995 · 413 citations

Flexible Transmission, Electrical Engineering, Engineering +3