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Fractional Calculus and Applied Analysis

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Volume 19, Issue 4


Responses comparison of the two discrete-time linear fractional state-space models

Tadeusz Kaczorek
  • Department of Control Engineering and Electronics Faculty of Electrical Engineering Bialystok University of Technology ul. Wiejska 45 D 15-351 Bialystok, Poland
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/ Piotr Ostalczyk
Published Online: 2016-08-27 | DOI: https://doi.org/10.1515/fca-2016-0043


In this survey we consider two fractional-order discrete state-space models of linear systems. In both cases the crucial elements are the fundamental matrices. The difference between them is analyzed. A fundamental condition for the first state-space model is given. The investigations are illustrated by the numerical examples.

MSC 2010: Primary 26A33; Secondary 34A30; 65Q10

Key Words and Phrases: discrete fractional calculus; linear difference fractional-order equations; linear discrete systems


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About the article

Received: 2016-02-12

Published Online: 2016-08-27

Published in Print: 2016-08-01

Citation Information: Fractional Calculus and Applied Analysis, Volume 19, Issue 4, Pages 789–805, ISSN (Online) 1314-2224, ISSN (Print) 1311-0454, DOI: https://doi.org/10.1515/fca-2016-0043.

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