Stability analysis of uncertain systems via matrix-valued Liapunov functions

被引：2

作者：

Martynyuk-Chernienko, YA ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Mech, Dept Proc Stabil, UA-57 Kiev, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 03期

关键词：

uncertain system; matrix-valued Lyapunov function; stability; asymptotic stability;

D O I：

10.1016/j.na.2005.05.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new approach is given that is applied in the investigation of qualitative motion properties of systems whose parameters are prescribed unprecisely (uncertain systems). The general method of investigation is to construct sufficient conditions under which uncertain system motions possess a certain type of stability. In this work the main method of analysis for this class of systems is a generalized direct Lyapunov method based on matrix-valued auxiliary functions. (c) 2005 Published by Elsevier Ltd.

引用

页码：388 / 404

页数：17

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