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Open AccessArticle

Parallel Implementation of Modeling of Fractional-Order State-Space Systems Using the Fixed-Step Euler Method

Departament of Electrial, Control and Computer Engineering, Opole University of Technology, 45-758 Opole, Poland
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Entropy 2019, 21(10), 931; https://doi.org/10.3390/e21100931
Received: 20 August 2019 / Revised: 18 September 2019 / Accepted: 20 September 2019 / Published: 24 September 2019
(This article belongs to the Special Issue The Fractional View of Complexity)
This paper presents new results in implementation of parallel computing in modeling of fractional-order state-space systems. The methods considered in the paper are based on the Euler fixed-step discretization scheme and the Grünwald-Letnikov definition of the fractional-order derivative. Two different parallelization approaches for modeling of fractional-order state-space systems are proposed, which are implemented both in Central Processing Unit (CPU)- and Graphical Processing Unit (GPU)-based hardware environments. Simulation examples show high efficiency of the introduced parallelization schemes. Execution times of the introduced methodology are significantly lower than for the classical, commonly used simulation environment. View Full-Text
Keywords: fractional-order systems; Grünwald-Letnikov derivative; parallel computing fractional-order systems; Grünwald-Letnikov derivative; parallel computing
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Stanisławski, R.; Kozioł, K. Parallel Implementation of Modeling of Fractional-Order State-Space Systems Using the Fixed-Step Euler Method. Entropy 2019, 21, 931.

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