Abstract. The authors formulate and solve the control problems for the dynamics of three-dimensional field of transverse displacements of elastic plates of finite thickness coordinated with the mean square fixed continuous desired condition. The control factors are superficially distributed external dynamic loads, initial and boundary disturbing factors taken individually, in pairs, and all three together. The features of the solution of these problems are described for the case where some of the initial and boundary disturbances are not important. The conditions of the accuracy and uniqueness of the solutions are analyzed.

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