International Conference on Mathematical Advances and Applications, İstanbul, Turkey, 3 - 05 May 2019, pp.100
In this paper, we study the optimal control of the plates under moving mass. The aim of the paper is to get rid of vibrations in the plates under moving mass. To achieve this, the actuators are added to the domain of the plate. A performance index functional which measure the dynamic response of the system is given. The calculus of variation is used for minimization of the performance index functional and the necessary conditions for the optimality are determined. A numerical example is given for the applicability of control mechanism.