Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation
Optimization and Control
2015-01-12 v1
Abstract
This paper is devoted to the study of the local rapid exponential stabilization problem for a controlled Kuramoto-Sivashinsky equation on a bounded interval. We build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach uses a method we introduced for the rapid stabilization of a Korteweg-de Vries equation. It relies on the construction of a suitable integral transform and can be applied to many other equations.
Keywords
Cite
@article{arxiv.1501.02042,
title = {Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation},
author = {Jean-Michel Coron and Qi Lu},
journal= {arXiv preprint arXiv:1501.02042},
year = {2015}
}