Stability Analysis of Finite Time for a Class of Nonlinear Time-Delay Fractional-Order Systems-Reference-Cited by-同舟云学术

Stability Analysis of Finite Time for a Class of Nonlinear Time-Delay Fractional-Order Systems

Published:2023-12-20 Issue:1 Volume:8 Page:4
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Ben Makhlouf Abdellatif¹^ORCID,Mchiri Lassaad²,Rhaima Mohamed³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Sfax University, BP 1171, Sfax 3038, Tunisia

2. Panthéon-Assas University Paris II, 92 Rue d’Assas, 75006 Paris, France

3. Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

Abstract

In this study, we delve into the examination of Finite Time Stability (FTS) within a specific class of Fractional-Order Systems (FOS) with time delays. By applying a fixed-point theorem, we establish novel sufficient conditions to ensure FTS for time-delayed FOS within 1<σ<2. Moreover, we investigate the existence and uniqueness of global solutions for this particular system. To demonstrate the credibility of our results, we substantiate our findings through the presentation of two illustrative examples.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/8/1/4/pdf

Reference20 articles.

1. Monje, C.A., Chen, Y., Vinagre, B.M., Xue, D., and Feliu-Batlle, V. (2010). Fractional-Order Systems and Controls: Fundamentals and Applications, Springer.

2. Multiple asymptotic stability of fractional-order quaternion-valued neural networks with time-varying delays;Wu;Neurocomputing,2021

3. Finite-time stability of linear fractional-order time-delay systems;Naifar;Int. J. Robust Nonlinear Control,2019

4. New finite-time stability analysis of singular fractional differential equations with time-varying delay;Thanh;Fract. Calc. Appl. Anal.,2020

5. A Proposed High-Gain Observer for a Class of Nonlinear Fractional-Order Systems;Etlili;Math. Probl. Eng.,2021