LAUSR

Abstract A boundary control problem for the one-dimensional wave equation is considered. The goal of the closed-loop control is to bring the system from the unknown initial state to the rest state. The main specificity of the problem is the assumption that the coefficients from Robin boundary conditions are unknown and must be indentified using additional boundary information on the controlled side of the space interval. In the paper a method for numerical solution of this problem is proposed. The method is a combination of the method developed previously for the case of known boundary coefficients and a special identification procedure based on smoothness analysis.