Approximate solution to a time optimal boundary control problem for the wave equation

Time optimal problems with two-sided boundary controls for the wave equation are considered in classes of strong generalized solutions. Various combinations of boundary conditions of the first, second, and third kinds are admitted in the statement. A noise-immune algorithm is proposed for the approximate calculation of the optimal time and the corresponding boundary controls. The approximate solutions are shown to converge under asymptotic refinement of the parameters of finite-dimensional approximation and a decrease in the error level in the definition of target functions.