New Laguerre filter approximators to the Grünwald-Letnikov fractional difference

DOI10.1155/2012/732917zbMath1264.94070OpenAlexW2087969262WikidataQ58911680 ScholiaQ58911680MaRDI QIDQ1955132

Rafał Stanisławski

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/732917

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractional ordinary differential equations (34A08)

Related Items (4)

A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference ⋮ Fractional-order discrete-time Laguerre filters: a new tool for modeling and stability analysis of fractional-order LTI SISO systems ⋮ Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems ⋮ Modeling of Fractional-Order Integrators and Differentiators Using Tustin-Based Approximations and Model Order Reduction Techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional order control of a coupled tank
• Fractional-order systems and controls. Fundamentals and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Computation of fractional derivatives using Fourier transform and digital FIR differentiator.
• System identification with generalized orthonormal basis functions
• Reducing noises and artifacts simultaneously of low-dosed \(X\)-ray computed tomography using bilateral filter weighted by Gaussian filtered sinogram
• Discretized Fractional Calculus
• Stability of Discrete Fractional Order State-space Systems
• The non-integer difference of the discrete-time function and its application to the control system synthesis
• Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems
• Normalized finite fractional differences: Computational and accuracy breakthroughs

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