Title :
Practical stability and stabilization
Author :
Moreau, Luc ; Aeyels, Dirk
Author_Institution :
SYSTEMS Group, Ghent Univ., Belgium
fDate :
8/1/2000 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
