Uniform Stabilization of 1-d Wave Equation with Anti-damping and Delayed Boundary Control*

摘要

In this paper we consider the stabilization problem of a 1-d wave equation with anti-damping in the interior domain and delayed boundary control. At first, we design the parametrization controller, that is a full state feedback controller of the integral forms. By selecting appropriate parameter functions, we prove that the system is equivalent to a system with exponential stability. In the present paper, we give an approach of selecting parameter functions.