A Stabilization of Linear Incommensurate Fractional-order Difference Systems

Iqbal M. Batiha; Noureddine Djenina; Adel Ouannas

doi:10.1063/5.0164866

A Stabilization of Linear Incommensurate Fractional-order Difference Systems

Iqbal M. Batiha
, Noureddine Djenina
, Adel Ouannas

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi

Research output: Contribution to journal › Conference article › peer-review

8 Scopus citations

Abstract

In this paper, we aim to announce some novel results that can be employed for stabilizing the linear Incommensurate Fractional-order Difference Systems (IFoDSs). With the help of using some properties of Z-transform method, and through converting the linear IFoDS into another equivalent system that consists of Fractional-order Difference Equations (FoDEs) of Volterra convolution-type, such stability results are formulated and then verified numerically via demonstrating an example for completeness.

Original language	English
Article number	030013
Journal	AIP Conference Proceedings
Volume	2849
Issue number	1
DOIs	https://doi.org/10.1063/5.0164866
State	Published - 1 Sep 2023
Event	International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021 - Rhodes, Greece Duration: 20 Sep 2021 → 26 Sep 2021

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10.1063/5.0164866

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title = "A Stabilization of Linear Incommensurate Fractional-order Difference Systems",

abstract = "In this paper, we aim to announce some novel results that can be employed for stabilizing the linear Incommensurate Fractional-order Difference Systems (IFoDSs). With the help of using some properties of Z-transform method, and through converting the linear IFoDS into another equivalent system that consists of Fractional-order Difference Equations (FoDEs) of Volterra convolution-type, such stability results are formulated and then verified numerically via demonstrating an example for completeness.",

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Y1 - 2023/9/1

N2 - In this paper, we aim to announce some novel results that can be employed for stabilizing the linear Incommensurate Fractional-order Difference Systems (IFoDSs). With the help of using some properties of Z-transform method, and through converting the linear IFoDS into another equivalent system that consists of Fractional-order Difference Equations (FoDEs) of Volterra convolution-type, such stability results are formulated and then verified numerically via demonstrating an example for completeness.

AB - In this paper, we aim to announce some novel results that can be employed for stabilizing the linear Incommensurate Fractional-order Difference Systems (IFoDSs). With the help of using some properties of Z-transform method, and through converting the linear IFoDS into another equivalent system that consists of Fractional-order Difference Equations (FoDEs) of Volterra convolution-type, such stability results are formulated and then verified numerically via demonstrating an example for completeness.

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DO - 10.1063/5.0164866

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A Stabilization of Linear Incommensurate Fractional-order Difference Systems

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