DocumentCode
1388915
Title
Practical stability and stabilization
Author
Moreau, Luc ; Aeyels, Dirk
Author_Institution
SYSTEMS Group, Ghent Univ., Belgium
Volume
45
Issue
8
fYear
2000
fDate
8/1/2000 12:00:00 AM
Firstpage
1554
Lastpage
1558
Abstract
Presents a practical stability result for dynamical systems depending on a small parameter. This result is applied to a practical stability analysis of fast time-varying systems studied in averaging theory, and of highly oscillatory systems studied by Sussmann and Liu (1999). Furthermore, the problem of practically stabilizing control affine systems with drift is discussed
Keywords
Lie algebras; control system analysis; optimisation; stability; time-varying systems; averaging theory; control affine systems; drift; dynamical systems; fast time-varying systems; highly oscillatory systems; practical stability; stabilization; Algebra; Asymptotic stability; Automatic control; Control systems; Stability analysis; State-space methods; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.871771
Filename
871771
Link To Document