On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations
Analysis of PDEs
2017-11-15 v1
Abstract
- This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional linear systems subject to saturations. Two cases are considered: 1) the saturation acts in the same space as the control space; 2) the saturation acts in another space, especially a Banach space. For the first case, an explicit ISS-Lyapunov function can be derived. For the second case, we can only ensure the existence of an ISS-Lyapunov function.
Keywords
Cite
@article{arxiv.1711.05024,
title = {On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations},
author = {Swann Marx and Yacine Chitour and Christophe Prieur},
journal= {arXiv preprint arXiv:1711.05024},
year = {2017}
}