An averaging theorem for time-periodic degree zero homogeneous differential equations

被引：16

作者：

MCloskey, RT

机构：

[1] Mech. and Aerosp. Eng. Department, University of California, Los Angeles

来源：

SYSTEMS & CONTROL LETTERS | 1997年 / 32卷 / 03期

关键词：

homogeneous; time-periodic; averaging; dilation; non-Lipschitz;

D O I：

10.1016/S0167-6911(97)00070-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the stability of the differential equation (x) over dot=epsilon X(t,x,epsilon), x is an element of R-n, where X(t,x,epsilon) is a time-periodic, degree zero homogeneous vector field and epsilon>0 is a parameter. It is shown that asymptotic stability of the time-averaged equation implies asymptotic stability of the original system for epsilon sufficiently small. (C) 1997 Elsevier Science B.V.

引用

页码：179 / 183

页数：5

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