Development of a computer model for estimating the position of a material point moving along a straight line using the Python language

The paper considers the problem of estimating the position of a material point when moving along a straight line. The solution was obtained using mathematical and computer modeling methods. A mathematical discrete-time linear stochastic state-space model of motion and measurements is constructed. Estimates of the position of a material point based on available measurements are obtained using the discrete-time Kalman filter algorithm. The properties of the estimation error variance were studied and an analytical expression for its calculation in a steady state was obtained. The computer model was developed in Python. The paper discusses the concept of a graphical interface and libraries for its implementation. The practical result of the work is a computer model in the form of an application with a graphical interface, which allows you to conduct numerical experiments to estimate the position of a material point for various model parameters. The computer simulation results are consistent with the obtained theoretical expression for the variance of the estimation error.