These notes are intended to be a tutorial material revisiting in an almost self-contained way,
some control results for the Korteweg-de Vries (KdV) equation posed on a bounded interval …

This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

The study of the control and stabilization of the KdV equation began with the work of Russell
and Zhang in late 1980s. Both exact control and stabilization problems have been …

This paper deals with the stabilization problem for the Korteweg-de Vries equation posed on
a bounded interval. The control acts on the left Dirichlet boundary condition. At the right end …

This paper is devoted to the study of the rapid exponential stabilization problem for a
controlled Korteweg–de Vries equation on a bounded interval with homogeneous Dirichlet …

We consider the boundary controllability problem for a nonlinear Korteweg–de Vries
equation with the Dirichlet boundary condition. We study this problem for a spatial domain …

In, Russell and Zhang showed that the Korteweg-de Vries equation posed on a periodic
domain with an internal control is locally exactly controllable and locally exponentially …

Studied here is the Kawahara equation, a fifth order Korteweg-de Vries type equation, with
time-delayed internal feedback. Under suitable assumptions on the time delay coefficients …

This article deals with the design of saturated controls in the context of partial differential
equations. It focuses on a Korteweg--de Vries equation, which is a nonlinear mathematical …

Studied here is the eventual dissipation of solutions to initial–boundary value problems for
the modified Kawahara equation with and without a localized damping term included. It is …