English

Output feedback stabilization of the Korteweg-de Vries equation *

Analysis of PDEs 2016-09-28 v3

Abstract

This paper presents an output feedback control law for the Korteweg-de Vries equation. The control design is based on the backstepping method and the introduction of an appropriate observer. The local exponential stability of the closed-loop system is proven. Some numerical simulations are shown to illustrate this theoretical result.

Keywords

Cite

@article{arxiv.1609.06096,
  title  = {Output feedback stabilization of the Korteweg-de Vries equation *},
  author = {Swann Marx and Eduardo Cerpa},
  journal= {arXiv preprint arXiv:1609.06096},
  year   = {2016}
}