Quadratic stability of dynamical systems with perturbations

被引：3

作者：

Ossowski, A ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Fundamental Technol Res, PL-00049 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2000年 / 35卷 / 01期

关键词：

dynamical systems; Lyapunov functions; exponential stability; quadratic stability; stability index;

D O I：

10.1016/S0020-7462(98)00086-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A general approach to the problem of quadratic stability of non-autonomous dynamical systems is described by using the method of optimal Lyapunov functions. Necessary and/or sufficient conditions of stability are obtained for a wide class of systems with non-stationary and non-linear perturbations. The possibility of an improvement of estimates of the stability regions by using several Lyapunov functions is pointed out. Illustrative examples of non-linear oscillators are given. (C) 1999 Published by Elsevier Science Ltd. All rights reserved.

引用

页码：45 / 52

页数：8

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