An output of Kirchhoff Plate Equation with Bilinear Boundary controls

Abstract

The current work focuses on the regional optimal control issue of the Kirchhoff Plate equation con- trols in a spatial domain Ω ⊂ R2, with constrained bilinear controls operating on the boundary of such an equation. It primarily concerns the tracking of a target state during the time interval[0,T], exclusively on a subregion of ω ⊂ Ω, minimizing a specified energy cost. Then we demonstrate that there is an optimal control, which is defined as a solution to an optimality system. MSC: 93B05