Numerical Simulation of Continuous-time Systems Based on the Analog Computing Paradigm

The technique of numerical modeling of systems with continuous time is considered. For this, the representation of such systems in the form of equivalent signal graphs is used. The analogies used in the construction of the model are described. A method for joint modeling of dynamic systems and systems with random flows is proposed. An example of constructing a model of a dynamical system with random flows on the basis of an inhomogeneous differential equation of the first order is considered in detail. A graphic-analytical technique for numerical modeling of a queuing system in the form of a system of inhomogeneous linear differential equations of the first order is considered. An algorithm for numerical modeling of queuing systems, based on the methodology, is presented. An example of modeling the simplest queuing system as a three-state process is considered. An equivalent graph of numerical modeling is constructed, including six vertices, on the basis of which a matrix modeling scheme is obtained.