On the practical stability with respect to part of the variables of <i>ϖ</i> ‐fractional‐order systems

Abstract This study describes stability analysis that guarantees a part of the solutions will converge to a small ball centered in the origin for ‐fractional‐order systems ( ‐FOS). Such nonlinear systems are explored, and such practical stability is guaranteed by using the Lyapunov‐like functions. This study delves into the theoretical underpinnings of practical stability. Additionally, it clarifies this concept through an application.

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Publication Details

Journal
Asian Journal of Control
Published
2025-03-26
DOI
https://doi.org/10.1002/asjc.3640
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

On the practical stability with respect to part of the variables of ϖ ‐fractional‐order systems

Abdellatif Ben Makhlouf, Jihen Sallay, Wael Z. El‐sayad
Asian Journal of Control
Fractional Differential Equations Solutions
article

On the practical stability with respect to part of the variables of ϖ ‐fractional‐order systems

Abdellatif Ben Makhlouf, Jihen Sallay, Wael Z. El‐sayad
article en

Abstract

Abstract This study describes stability analysis that guarantees a part of the solutions will converge to a small ball centered in the origin for ‐fractional‐order systems ( ‐FOS). Such nonlinear systems are explored, and such practical stability is guaranteed by using the Lyapunov‐like functions. This study delves into the theoretical underpinnings of practical stability. Additionally, it clarifies this concept through an application.

Asian Journal of ControlVol. 28(1)
University of Sfax (TN), Umm al-Qura University (SA)
Openalex Percentile: Top 93%
Fractional Differential Equations Solutions
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On the practical stability with respect to part of the variables of <i>ϖ</i> ‐fractional‐order systems — Abdellatif Ben Makhlouf, Jihen Sallay, et al. · Asian Journal of Control (2025) | TGRS Research Map | TGRS