Stability Enhancement by Boundary


We address the problem of Dirichlet and Neumann boundary control of the Kuramoto-Sivashinsky equation on the domain 0; 1]. First we note that, while the uncontrolled Dirichlet problem is asymptotically stable when an \anti-diiusion" parameter is small, and unstable when it is large (we determine the critical value of the parameter), the uncontrolled Neumann… (More)