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Application of the Lagrange-Sylvester formula to computation of the solution to state equations of fractional linear systems

Tadeusz Kaczorek
Bulletin of the Polish Academy of Sciences Technical Sciences | 2021 | 69 | 2 | e136729 | DOI: 10.24425/bpasts.2021.136729
Keywords computation solution Lagrange-Sylvester formula fractional continuous-time discrete-time linear system
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Abstract

The Lagrange-Sylvester formula is applied to the computation of the solutions of state equations of fractional continuous-time and discrete-time linear systems. The solutions are given as finite sums with their numbers of components equal to the degrees of the minimal characteristics polynomials of state matrices of the systems. Procedures for computations of the solutions are given and illustrated by numerical examples of continuous-time and discrete-time fractional linear systems.
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Authors and Affiliations

Tadeusz Kaczorek
1
ORCID: ORCID
  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Białystok, Poland

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