Method of discretizing of fractional-derivative linear systems of ordinary differential equations with constant coefficients

2019/03/15 by F. A. Aliev, Fikret A. Aliev, N. A. Aliev +11
Engineering · Mathematics · #49J15 #49J35 #Advanced Control Systems Design #Aerospace Engineering and Control Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #math.DS #msc:49J15 #msc:49J35

paper · pdf · doi:10.48550/arxiv.1903.06468

in Russian

arxiv created 2019/03/15 · openalex publication_date 2019/03/15 · arxiv updated 2019/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An exact discretization method is being developed for solving linear systems of ordinary fractional-derivative differential equations with constant matrix coefficients (LSOFDDECMC). It is shown that the obtained linear discrete system in this case does not have constant matrix coefficients. Further, this method is compared with the known approximate method. The above scheme is developed for arbitrary linear systems with piecewise constant perturbations. The results are applied to the discretization of linear controlled systems and are illustrated with numerical examples.

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