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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

Received  January 2021 Revised  April 2021 Early access August 2021

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

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.

Citation: Abdelfettah Hamzaoui, Nizar Hadj Taieb, Mohamed Ali Hammami. Practical partial stability of time-varying systems. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2021197
##### References:

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