Integral Fourier, Mellin and Galerкin transformations in design of automatic systems

Two computer load-saving methods are analyzed for optimal design of continuous automatic systems with regular signals, similarity of generalized frequency responses and reversal to design problems and optimization of variational analysis methods. In terms of computation for linear and linearized systems the two approaches are shown to be identical, for the constraints coincide and the goal functions are essentially different ways to represent nearly identical integral transformations which are different in quantities of the second order of smallness.