NEW CRITERION OF STABILITY FOR TIME-VARYING DYNAMICAL SYSTEMS: APPLICATION TO SPRING-MASS-DAMPER MODEL

被引：3

作者：

Faten, Ezzine ^{[1
]}

Hammami, Mohamed Ali ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra St,Km 3-5 BP 1171, Sfax 3038, Tunisia

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 91卷 / 01期

关键词：

nonlinear-time varying systems; perturbed systems; stability with respect to a part of variables; nontrivial solution; practical stability with respect to a part of variables; Lyapunov techniques;

D O I：

10.1016/S0034-4877(23)00007-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the problem of stability with respect to a part of variables of nonlinear time-varying systems. We derive some sufficient conditions that guarantee exponential stability and practical exponential stability with respect to a part of the variables of perturbed systems based on Lyapunov techniques where converse theorems are stated. Furthermore, illustrative examples to show the usefulness and applicability of the theory of stability with respect to a part of variables are provided. In particular, we show that our approach can be applied to the spring-mass-damper model.

引用

页码：1 / 28

页数：28

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