A Converse Theorem on Practical h-Stability of Nonlinear Systems

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作者
H. Damak
M. A. Hammami
A. Kicha
机构
[1] University of Sfax,Department of Mathematics, Faculty of Sciences of Sfax
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-Stability; practical ; -stability; Lyapunov stability; perturbed systems; 34D20; 34D10; 34A34; 39D05;
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摘要
In this paper, we investigate the practical h-stability problems of some classes of nonlinear systems as an extension of practical exponential stability. We derive some sufficient conditions that guarantee practical h-stability of perturbed systems using Lyapunov’s theory where a new converse theorem is presented. Finally, numerical examples are introduced to illustrate the applicability of the main results.
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