In this paper, we study the global stabilization, by means of smooth state feedback, of partially linear composite systems. We show how to compute the stabilizing feedback thanks to a weak Lyapunov function for a nonlin- ear subsystem instead of a stricte one.
Publié le : 1997-07-04
Classification:
LaSalle invariance principle,
composite system,
stabilizability,
weak Lyapunov function,
Nonlinear systems,
feedback,
global stabilization,
Lyapunov function,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],
[SPI.AUTO]Engineering Sciences [physics]/Automatic
@article{hal-01860802,
author = {Ferfera, Abdelhak and Iggidr, Abderrahman},
title = {A remark on the stabilization of partially linear composite systems},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01860802}
}
Ferfera, Abdelhak; Iggidr, Abderrahman. A remark on the stabilization of partially linear composite systems. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-01860802/