Stabilization of a linear Korteweg-de Vries equation with a saturated internal control
Analysis of PDEs
2015-09-07 v1
Abstract
This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a linear Korteweg-de Vries equation, which is a mathematical model of waves on shallow water surfaces. In this article, we close the loop with a saturating input that renders the equation nonlinear. The well-posedness is proven thanks to the nonlinear semigroup theory. The proof of the asymptotic stability of the closed-loop system uses a Lyapunov function.
Keywords
Cite
@article{arxiv.1509.01471,
title = {Stabilization of a linear Korteweg-de Vries equation with a saturated internal control},
author = {Swann Marx and Eduardo Cerpa and Christophe Prieur and Vincent Andrieu},
journal= {arXiv preprint arXiv:1509.01471},
year = {2015}
}
Comments
European Control Conference, Jul 2015, Linz, Austria