Stability and Stabilization of Homogeneous Systems Depending on a Parameter

被引：17
|
作者：
Moulay, Emmanuel [1 ]
机构：
[1] IRCCyN, CNRS, UMR 6597, F-44321 Nantes, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 06期
关键词：
Homogeneous systems; nonlinear systems depending on a parameter; stability; stabilization; FINITE-TIME STABILITY;
D O I：
10.1109/TAC.2009.2015560
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 technical note deals with the Lyapunov stability and stabilization of nonlinear homogeneous systems depending on a parameter. We give a new method for proving global stability and stabilization by using a continuous topological deformation which preserves the stability. The proposed results use a condition based on a well known topological lemma, called the tube lemma. To illustrate these results, we study finite time robust stabilization of the chain of integrators.
引用
收藏
页码：1382 / 1385
页数：4
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