Optimal Control of the Vibrations of a Suspended Filament

摘要

The paper is devoted to the linear-quadratic optimal control problem by the process of the vibrations of a suspended filament. For the considered optimization problem the necessary conditions of optimality are obtained and the uniqueness of the optimal control is proved. The analysis of these conditions has resulted in obtaining the system of Riccati integro-differential equations which solution is presented in a closed form.