Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
International Journal of Applied Mathematics and Computer Science (2012)
- Volume: 22, Issue: 3, page 533-538
- ISSN: 1641-876X
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topPiotr Ostalczyk. "Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains." International Journal of Applied Mathematics and Computer Science 22.3 (2012): 533-538. <http://eudml.org/doc/244067>.
@article{PiotrOstalczyk2012,
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.},
author = {Piotr Ostalczyk},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fractional calculus; linear discrete-time system; stability domain},
language = {eng},
number = {3},
pages = {533-538},
title = {Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains},
url = {http://eudml.org/doc/244067},
volume = {22},
year = {2012},
}
TY - JOUR
AU - Piotr Ostalczyk
TI - Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 3
SP - 533
EP - 538
AB - 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.
LA - eng
KW - fractional calculus; linear discrete-time system; stability domain
UR - http://eudml.org/doc/244067
ER -
References
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