Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains

Piotr Ostalczyk

doi:10.2478/v10006-012-0040-7

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Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains

International Journal of Applied Mathematics and Computer Science

Volume 22 (2012): Issue 3 (September 2012)

By: Piotr Ostalczyk

Open Access

|Sep 2012

Abstract

Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.

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