A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference
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Publication:1665875
DOI10.1155/2015/512104zbMath1394.65018OpenAlexW1977744801WikidataQ59118806 ScholiaQ59118806MaRDI QIDQ1665875
Marian Łukaniszyn, Krzysztof J. Latawiec, Rafał Stanisławski
Publication date: 27 August 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/512104
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Cites Work
- Unnamed Item
- Unnamed Item
- Studies on fractional order differentiators and integrators: a survey
- Stability preservation analysis in direct discretization of fractional order transfer functions
- Computation of fractional order derivative and integral via power series expansion and signal modelling
- A new IIR-type digital fractional order differentiator
- Fractional-order systems and controls. Fundamentals and applications
- Two direct Tustin discretization methods for fractional-order differentiator/integrator.
- Computation of fractional derivatives using Fourier transform and digital FIR differentiator.
- A new definition of fractional derivatives based on truncated left-handed Grünwald-Letnikov formula with \(0 < \alpha < 1\) and median correction
- System identification with generalized orthonormal basis functions
- New Laguerre filter approximators to the Grünwald-Letnikov fractional difference
- Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
- Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
- Stability of Discrete Fractional Order State-space Systems
- Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems
- Discretization schemes for fractional-order differentiators and integrators
- On the Laguerre Rational Approximation to Fractional Discrete Derivative and Integral Operators
- Normalized finite fractional differences: Computational and accuracy breakthroughs
- Implementation of Fractional-order Operators on Field Programmable Gate Arrays
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