Generalized Fractional-Order Discrete-Time Integrator

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 relati...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) Vol. 2017; no. 2017; pp. 1 - 11
Main Authors: Mozyrska, Dorota, Ostalczyk, Piotr
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2017
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects:
Analysis
Calculus
Discrete-time systems
Generalized linear models
International conferences
Mathematical analysis
Matrix algebra
Matrix methods
Numerical integration
Signal processing
United States
ISSN:1076-2787, 1099-0526
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:1076-2787
1099-0526
DOI:10.1155/2017/3452409