A general result on the stabilization of linear systems using bounded controls (1994)
Cached
Download Links
| Venue: | IEEE Transactions on Automatic Control |
| Citations: | 56 - 8 self |
BibTeX
@ARTICLE{Sussmann94ageneral,
author = {Héctor J. Sussmann and Eduardo D. Sontag and Yudi Yang},
title = {A general result on the stabilization of linear systems using bounded controls},
journal = {IEEE Transactions on Automatic Control},
year = {1994},
volume = {39},
pages = {2411--2425}
}
Years of Citing Articles
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
We present two constructions of controllers that globally stabilize linear systems subject to control saturation. We allow essentially arbitrary saturation functions. The only conditions imposed on the system are the obvious necessary ones, namely that no eigenvalues of the uncontrolled system have positive real part and that the standard stabilizability rank condition hold. One of the constructions is in terms of a ”neural-network type ” one-hidden layer architecture, while the other one is in terms of cascades of linear maps and saturations.
