Generalized integral inequality and application on partial stability analysis-Reference-Cited by-同舟云学术

Generalized integral inequality and application on partial stability analysis

Published:2023 Issue:27 Volume:37 Page:9339-9356
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ezzine Faten¹,Hdidi Walid²,Dragomir Sever³

Affiliation:

1. University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, Tunisia

2. Jouf University, College of Sciences and Arts of Tabrjal, Department of Mathematics, Saudi Arabia + University of Kairouan, Higher Institute of Applied Mathematics

3. Mathematics, College of Sport, Health and Engineering, Victoria University, Melbourne City, Australia

Abstract

The method of Lyapunov is one of the most effective methods for the analysis of the partial stability of dynamical systems. Different authors develop the problem of partial practical stability based on Lyapunov techniques. In this paper, we investigate the partial practical stability of linear time-invariant perturbed systems based on the integral inequalities of the Gronwall type, in particular of Gamidov?s type. We derive some sufficient conditions that guarantee global practical uniform exponential stability with respect to a part of the variables of linear time-invariant perturbed systems. Also, we have developed the local partial practical stability of nonlinear systems. Further, we provide two examples to support our findings.

Publisher

National Library of Serbia

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