Practical partial stability of time-varying systems

Abdelfettah Hamzaoui; Nizar Hadj Taieb; Mohamed Ali Hammami

doi:10.3934/dcdsb.2021197

Article Contents

2022, Volume 27, Issue 7: 3585-3603. Doi: 10.3934/dcdsb.2021197

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Practical partial stability of time-varying systems

Faculty of Sciences of Sfax, Department of Mathematics

^* Corresponding author: Nizar Hadj Taieb
^* Corresponding author: Nizar Hadj Taieb

Received: December 31, 2020

Revised: March 31, 2021

Published: July 2022

The authors wish to thank the editor and the anonymous reviewers for their valuable and careful comments

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Abstract

In this paper we investigate the practical asymptotic and exponential partial stability of time-varying nonlinear systems. We derive some sufficient conditions that guarantee practical partial stability of perturbed systems using Lyapunov's theory where a converse theorem is presented. Therefore, we generalize some works which are already made in the literature. Furthermore, we present some illustrative examples to verify the effectiveness of the proposed methods.

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Mathematics Subject Classification: Primary: 34D20, 37B25; Secondary: 37B55.

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