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

Autor: Tadeusz Kaczorek
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Bulletin of the Polish Academy of Sciences: Technical Sciences, Vol 69, Iss 2 (2021)
Druh dokumentu: article
ISSN: 2300-1917
DOI: 10.24425/bpasts.2021.136729
Popis: 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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