Stability analysis of conformable fractional-order nonlinear systems depending on a parameter

In this paper, the stability of conformable fractional-order nonlinear systems depending on a parameter is presented and described. Furthermore, The design of a feedback controller for the same class of conformable fractional-order systems is introduced. Illustrative examples are given at the end of...

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Bibliographic Details
Published in:Journal of applied analysis 2020-12, Vol.26 (2), p.287-296
Main Authors: Naifar, O., Rebiai, G., Ben Makhlouf, A., Hammami, M. A., Guezane-Lakoud, A.
Format: Article
Language:English
Subjects:
34A08
34A12
Conformable fractional derivative
Control systems design
Design parameters
Feedback control
fractional practical exponential stability
Nonlinear control
Nonlinear systems
Stability analysis
System effectiveness
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Summary:In this paper, the stability of conformable fractional-order nonlinear systems depending on a parameter is presented and described. Furthermore, The design of a feedback controller for the same class of conformable fractional-order systems is introduced. Illustrative examples are given at the end of the paper to show the effectiveness of the proposed results.
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2020-2025