MINIMAL ENERGY CONTROL FOR THE WAVE EQUATION WITH NON-CLASSICAL BOUNDARY CONDITION

In the presented paper, we consider a process described by the wave equation with a non-classical boundary condition. At first, the generalized solution of the mixed problem is found in the form of the expansion in the biorthogonal series. Then, the minimal energy control problem is considered and the solution of this problem is reduced to the moment problem. The analytical form the optimal control function is found.