Rapid exponential stabilization for a linear Korteweg-de Vries equation

Eduardo Cerpa; Emmanuelle Crépeau

doi:10.3934/dcdsb.2009.11.655

Article Contents

2009, Volume 11, Issue 3: 655-668. Doi: 10.3934/dcdsb.2009.11.655

This issue Previous Article On Bolza optimal control problems with constraints Next Article Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization

Rapid exponential stabilization for a linear Korteweg-de Vries equation

Eduardo Cerpa^1, and
Emmanuelle Crépeau^2,

1.
Laboratoire de Mathématiques, Université Paris-Sud 11, Bât. 425, 91405 Orsay Cedex
2.
INRIA Rocquencourt, Domaine de Voluceau, 78150 Le Chesnay

Received: February 2008

Revised: November 2008

Published: May 2009

Abstract / Introduction Related Papers Cited by

Abstract

We consider a control system for a Korteweg-de Vries equation with homogeneous Dirichlet boundary conditions and Neumann boundary control. We address the rapid exponential stabilization problem. More precisely, we build some feedback laws forcing the solutions of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates. We also perform some numerical computations in order to illustrate this theoretical result.

Keywords:

Mathematics Subject Classification: Primary: 93D15, 35Q53; Secondary: 93B05.

Citation:

Article Metrics

HTML views() PDF downloads(129) Cited by(0)

Rapid exponential stabilization for a linear Korteweg-de Vries equation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Rapid exponential stabilization for a linear Korteweg-de Vries equation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content