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Volume 2017, Article ID 3452409, 11 pages
Research Article

Generalized Fractional-Order Discrete-Time Integrator

1Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland
2Institute of Applied Computer Science, Lodz University of Technology, Łódź, Poland

Correspondence should be addressed to Dorota Mozyrska; lp.ude.bp@aksryzom.d

Received 10 February 2017; Accepted 23 April 2017; Published 6 July 2017

Academic Editor: Ahmad T. Azar

Copyright © 2017 Dorota Mozyrska and Piotr Ostalczyk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate a generalization of discrete-time integrator. Proposed linear discrete-time integrator is characterised by the variable, fractional order of integration/summation. Graphical illustrations of an analysis of particular vector matrices are presented. In numerical examples, we show relations between the order functions and element responses.