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

• Autorzy: Piotr Ostalczyk
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional calculus; linear discrete-time system; stability domain

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 3
• Strony: 533-538

Daty

wydano

2012

otrzymano

2011-04-19

poprawiono

2011-12-16

Twórcy

autor

Piotr Ostalczyk

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

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-012-0040-7