A METHOD FOR THE DISCRETIZATION OF LINEAR SYSTEMS OF ORDINARY FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

摘要

We develop an exact discretization method for the solution of linear systems of ordinary fractional differential equations with constant matrix coefficients. It is shown that, in this case, the obtained linear discrete system does not have constant matrix coefficients. The proposed method is compared with the well-known approximate method. The presented scheme is developed for any linear systems with piecewise constant perturbations. The obtained results are used for the discretization of linear controlled systems and are illustrated by numerical examples.