The linear systems analysis involves obtaining a model that is used to acquire information from the real system. The model offers an important advantage when the physical implementation of a system is expensive, or when the operation may result in damage to computer components. The computer simulation methods offer a partial solution but hinder the use of real elements (sensors and actuators) when we implement a strategy of control of a physical system. This paper demonstrates a technique to emulate the behavior of a linear system using state space discretized in order to implement low-processing systems. Finally we obtain an algorithm that represents a linear system recursively and can be implemented in microcontroller systems.