Practical stability for nonlinear systems with generalized conformable derivative

Mohammed Aldandani; Omar Naifar; Abdellatif Ben Makhlouf; Mohammed Aldandani; Omar Naifar; Abdellatif Ben Makhlouf

doi:10.3934/math.2023797

AIMS Mathematics

2023, Volume 8, Issue 7: 15618-15632. doi: 10.3934/math.2023797

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Research article

Practical stability for nonlinear systems with generalized conformable derivative

1.
Department of Mathematics, College of Science, Jouf University, P. O. Box 2014, Sakaka, Saudi Arabia
2.
CEM Lab, Department of Electrical Engineering, National School of Engineering, University of Sfax, Tunisia

Received: 04 March 2023 Revised: 18 April 2023 Accepted: 20 April 2023 Published: 27 April 2023
MSC : 34A34, 34A08

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.
- general conformable derivative,
- Lyapunov function
Citation: Mohammed Aldandani, Omar Naifar, Abdellatif Ben Makhlouf. Practical stability for nonlinear systems with generalized conformable derivative[J]. AIMS Mathematics, 2023, 8(7): 15618-15632. doi: 10.3934/math.2023797

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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.

References

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