Special computational methods are developed for solving problems of optimization of linear stationary systems subjected to the action of external perturbations of a random nature with respect to mean-square criteria. The problems to be solved are distinguished by the necessity of allowing for different requirements imposed on the modal properties of the system being synthesized. The numerical methods proposed in the article are constructed with allowance for the peculiarities of the corresponding problems and are oriented toward use in systems of automatic design of automatic control systems.