In this communication, we investigate the local stabilization of analytic systems ˙ x = f (x) + Bu with n − 1 inputs. We state a sufficient condition on the first approximation of f for which the local asymptotic stabilizability can be achieved; furthermore, we give explicitly the stabilizing feedback.
Publié le : 1992-06-24
Classification:
asymptotic stabilization,
nonlinear systems,
Lyapunov's function,
Feedback,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],
[SPI.AUTO]Engineering Sciences [physics]/Automatic
@article{hal-01862881,
author = {Iggidr, Abderrahman and Vivalda, Jean-Claude},
title = {Local Stabilization of Analytic Systems with n-1 inputs},
journal = {HAL},
volume = {1992},
number = {0},
year = {1992},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01862881}
}
Iggidr, Abderrahman; Vivalda, Jean-Claude. Local Stabilization of Analytic Systems with n-1 inputs. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-01862881/