Methods of distributed systems' structured modelling

Abstract

In this work, the mathematical models of distributed systems are considered. The description of these systems' models presents in the form of the operator equations. Decomposition of input action on own vector functions of the object's operator in the form of a Fourier series is executed. Green's pulse transitional function is given. The expressions of system's transfer function for each member of a Fourier series, by which the input action was modelled, are written down. It is shown, that the considered system can be structurally presented in the form of parallel connection of infinite number of the concentrated links. Thus, tracing of distributed system to concentrated system allows the simplifying of modelling process significantly