Approximate Solutions of Dynamic Problems for Devices of Automatic Control Systems Using Matrix Description and Matrix Operators

Article considers the solution of dynamic problems using of numerical approximations based on a matrix description of systems and matrix operators for devices of automatic control systems. The results of approximate calculations in the decomposition of signals in basis function systems based on Walsh functions and shifted orthogonal Legendre polynomials for different dimensions of the basis are presented. Optimal sizes of bases without loss of calculation accuracy are found.