A. Balogh et M. Krstic, Boundary control of the Korteweg-de Vries-Burgers equation: Further results on stabilization and well-posedness, with numerical demonstration, IEEE AUTO C, 45(9), 2000, pp. 1739-1745
We consider the Korteweg-de Vries-Burgers (KdVB) equation on the interval [
0,1], Motivated by simulations resulting in modest decay rates with recentl
y proposed control laws by Liu and Krstic which keeps some of the boundary
conditions as homogeneous, we propose a strengthened set of feedback bounda
ry conditions. We establish stability properties of the closed-loop system,
prove well-posedness and illustrate the performance improvement by a simul
ation example.