<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Institute of Applied Computer Science Łódź University of Technology, ul. Stefanowskiego 18/22, 90-924 Łódź, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the...

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

Published Online: Sep 28, 2012

Page range: 533 - 538

DOI: https://doi.org/10.2478/v10006-012-0040-7

Keywords
fractional calculus, linear discrete-time system, stability domain

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 28, 2012

Page range: 533 - 538

DOI: https://doi.org/10.2478/v10006-012-0040-7

Keywordsfractional calculus, linear discrete-time system, stability domain

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
fractional calculus, linear discrete-time system, stability domain