State convergence of a class of time-varying differential equations

被引：5

作者：

Naser, M. F. M. ^{[1
]}

机构：

[1] Al Balqa Appl Univ, Fac Engn Technol, Amman 11134, Jordan

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2020年 / 37卷 / 01期

关键词：

differential equation; attractivity; asymptotic stability; LYAPUNOV FUNCTIONS; STABILIZATION; STABILITY; SYSTEMS;

D O I：

10.1093/imamci/dny036

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 article, we consider the differential equation (v) over dot (t) = -q (t) beta (v (t)) + e (t) and derive sufficient conditions for the convergence of its solution(s) when t -> infinity. As an application, we give generalized sufficient conditions for the global attractivity and the global asymptotic stability of a class of time-varying systems. To illustrate the proposed results, the stability of the time-varying Lorenz system is studied.

引用

页码：27 / 38

页数：12

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