The monograph discusses methods of parametric synthesis of continuous , Impulse , Discrete , Discrete-Continuous Linear and Non-Linear Automatic Control Systems , the mathematical basis of which is the appeal of the direct variational method of analysis (the generalized Galerkin method) to the solution of the problem , as well as obtaining analytical relations "input-output", Galerkin integrals for a wide range of nonlinear characteristics as in the case of an ideal AIM and taking into account the final duration of the closure of modulators type I and II. The algorithm of the software complex implementing the generalized Galerkin method for the synthesis of ACS parameters.