Abstract. The author solves the problems of control of linearly transformed vector function of displacement points of three-dimensional elastic body with the purpose of root-mean-square approximation to its discretely defined values. The problems are solved without constraints on the body geometry and under discretely defined observations of its initial-boundary state. Space, superficial, and initially distributed outward perturbations are considered as control factors. The evaluation of accuracy and uniqueness of control is conducted.

Keywords: spatially distributed dynamical systems, spatial problems of elasticity theory, pseudoinversion, control.