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

被引：16

作者：

Ghanmi, B. ^{[1
,2
]}

机构：

[1] Univ Gafsa, Gafsa, Tunisia

[2] Fac Sci Gafsa, Dept Math, Sidi Ahmed Zarroug 2112, Gafsa, Tunisia

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2019年 / 25卷 / 04期

关键词：

h-stability; Practical h-stability; Lyapunov theory; Perturbed systems; Cascaded systems; Practical h-stabilization;

D O I：

10.1007/s10883-019-09454-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：691 / 713

页数：23

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