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

被引：15
|
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
收藏
页码：691 / 713
页数：23
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