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Research Article | Open Access

Practical stability for nonlinear systems with generalized conformable derivative

Mohammed Aldandani1, Omar Naifar2, Abdellatif Ben Makhlouf1( )
Department of Mathematics, College of Science, Jouf University, P. O. Box 2014, Sakaka, Saudi Arabia
CEM Lab, Department of Electrical Engineering, National School of Engineering, University of Sfax, Tunisia
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Abstract

In this study, we give the stability analysis of a class of nonlinear systems with a generalized conformable derivative, which guarantees that their solutions converge to a ball centered at the origin. The theoretical foundations of the practical stability are investigated in this work. Furthermore, the concept is elucidated with an application. Finally, the theoretical findings offered are illustrated with two numerical examples.

Keywords

general conformable derivativeLyapunov function
CLC number: 34A34, 34A08

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 15618-15632
DOI: 10.3934/math.2023797

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Cite this article:
Aldandani M, Naifar O, Makhlouf AB. Practical stability for nonlinear systems with generalized conformable derivative. AIMS Mathematics, 2023, 8(7): 15618-15632. https://doi.org/10.3934/math.2023797

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Received: 04 March 2023
Revised: 18 April 2023
Accepted: 20 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)