Selected Implementation Issues in Computation of the Grünwald-Letnikov Fractional-Order Difference by Means of Embedded System

DOI10.1007/978-3-030-17344-9_7zbMath1427.93134OpenAlexW2946180668MaRDI QIDQ4972774

Rafał Stanisławski, Kamil Kozioł

Publication date: 27 November 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-17344-9_7

zbMATH Keywords

numerical accuracydiscrete-time fractional-order system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Uses Software

• mctoolbox

Cites Work

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• Modeling of discrete-time fractional-order state space systems using the balanced truncation method
• A floating-point technique for extending the available precision
• Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
• Accuracy and Stability of Numerical Algorithms
• Accurate Floating-Point Summation Part I: Faithful Rounding
• Accurate Sum and Dot Product

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