In this paper, the anisotropic control problem for linear discrete time invariant systems is considered. We examine the properties of anisotropic static feedback controller in case of small values of mean anistropy. The asymptotic formulas of anisotropic controller are obtained in terms of studied system matrices and mean anisotropy parameter and presented in the form of theorem. The numerical example of anisotropic control problem solution for the LDTI system is illustrated by the graphs.