DocumentCode :
918059
Title :
Stability and Stabilization of Homogeneous Systems Depending on a Parameter
Author :
Moulay, Emmanuel
Author_Institution :
IRCCyN, Nantes
Volume :
54
Issue :
6
fYear :
2009
fDate :
6/1/2009 12:00:00 AM
Firstpage :
1382
Lastpage :
1385
Abstract :
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.
Keywords :
Lyapunov methods; feedback; linear systems; nonlinear control systems; stability; topology; Lyapunov stability; continuous topological deformation; linear system; nonlinear feedback control; nonlinear homogeneous system stabilization; Control theory; Eigenvalues and eigenfunctions; Lyapunov method; Nonlinear systems; Robustness; Stability; Terminology; Homogeneous systems; nonlinear systems depending on a parameter; stability; stabilization;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2009.2015560
Filename :
4982640
Link To Document :
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