On the Practical h-stability of Nonlinear Systems of Differential Equations

被引：0
|
作者：
B. Ghanmi
机构：
[1] University of Gafsa,Faculty of Sciences of Gafsa
[2] Department of Mathematics,undefined
来源：
Journal of Dynamical and Control Systems | 2019年 / 25卷
关键词：
-stability; Practical ; -stability; Lyapunov theory; Perturbed systems; Cascaded systems; Practical ; -stabilization; 34D10; 34D20; 93D05; 93D15;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we present a new notion of stability for nonlinear systems of differential equations called practical h-stability. Necessary and sufficient conditions for practical h-stability are given using the Lyapunov theory. Our original results generalize well-known fundamental results: practical exponential stability, practical asymptotic stability, and practical stability for nonlinear time-varying systems. In addition, these results are used to study the practical h-stability of two important classes of nonlinear systems, namely perturbed and cascaded systems. The last part is devoted to the study of the problem of practical h-stabilization for certain classes of nonlinear systems.
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页码：691 / 713
页数：22
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