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.
@article{bwmeta1.element.bwnjournal-article-amcv22z3p533bwm,
author = {Piotr Ostalczyk},
title = {Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {22},
year = {2012},
pages = {533-538},
zbl = {1302.93140},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv22z3p533bwm}
}
Piotr Ostalczyk. Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) pp. 533-538. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv22z3p533bwm/
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