Abstract
We study stabilization of a class of linear parabolic boundary control systems. The control system in this paper admits a Riesz basis corresponding to a pair of coefficient linear differential operators (L, τ). The problem has been extensively studied by several authors. Most important is how we cope with the boundary control terms. We propose a new algebraic method of stabilization, which is regarded as the third algebraic one by the same author. An advantage is that this method is a little simpler and more readable than the exixsting ones, since the argument is based on a system of differential equations with no boundary input. Thus the argument owns some property in common with the one in finite-dimensional control systems.
