ASYMPTOTIC STABILITY OF NONAUTONOMOUS SYSTEMS BY LIAPUNOVS DIRECT METHOD

被引：37

作者：

AEYELS, D

机构：

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 25卷 / 04期

关键词：

NONAUTONOMOUS DIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; LIAPUNOVS DIRECT METHOD;

D O I：

10.1016/0167-6911(94)00088-D

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 discusses the asymptotic stability of nonautonomous systems by means of the direct method of Liapunov. We assume existence of a positive time-invariant Liapunov function with negative semi-definite derivative. We focus on the extra conditions needed in order to guarantee asymptotic stability and present a theorem which offers a new criterion for asymptotic stability. The theorem is illustrated first by recovering Barbashin's principle for autonomous and periodic systems and second by studying the nonlinear pendulum with time-varying damping for which we derive a new asymptotic stability result.

引用

页码：273 / 280

页数：8