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Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems
Joint Authors
Stanisławski, Rafał
Latawiec, Krzysztof J.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper presents new results on modeling and analysis of dynamics of fractional-order discrete-time linear time-invariant single-input single-output (LTI SISO) systems by means of new, two-layer, “fractional-order discrete-time Laguerre filters.” It is interesting that the fractionality of the filters at the upper system dynamics layer is directly projected from the lower Laguerre-based approximation layer for the Grünwald-Letnikov difference.
A new stability criterion for discrete-time fractional-order Laguerre-based LTI SISO systems is introduced and supplemented with a stability preservation analysis.
Both the stability criterion and the stability preservation analysis bring up rather surprising results, which is illustrated with simulation examples.
American Psychological Association (APA)
Stanisławski, Rafał& Latawiec, Krzysztof J.. 2016. Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103638
Modern Language Association (MLA)
Stanisławski, Rafał& Latawiec, Krzysztof J.. Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1103638
American Medical Association (AMA)
Stanisławski, Rafał& Latawiec, Krzysztof J.. Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103638