Abstract. The author solves problems of control of a linearly transformed vector function of displacements of points of a three-dimensional elastic body with the purpose of root-mean-square approximation to its continuously defined values. No constraints are imposed on body’s geometry and observations of its initial– boundary state are continuously defined. Spatial, superficial and initially distributed external-dynamic perturbations are considered as controlling factors. The accuracy and uniqueness of control are evaluated.
Keywords: spatially distributed dynamic systems, spatial problems of elastic theory, pseudoinversion, control.
Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: v_a_stoyan@ukr.net.