Abstract. The authors solve control problems for the three-dimensional field of transverse dynamic displacements of points of arbitrary in its profile thick elastic plate. The desired state of the plate is specified by the vector of linear differential transformations of the function of its transverse dynamic displacements. The authors consider the cases where control is performed by superficially distributed forces, initial and boundary effects, selected for all permissible combinations. The accuracy and uniqueness of the solutions are analyzed. The issues of precision and uniqueness of the solutions obtained.

Keywords: control, thick elastic plates, dynamic systems, mathematical modeling.