A mathematical model of information confrontation: discrete adaptive control of the system

This article presents initial results of controlling a mathematical model of information confrontation, proposed by the authors in earlier works. The model is a system of ordinary differential equations with quadratic nonlinearity on the right side. The introduction defines the novelty of the approach and outlines the differences from previously used ones. Additionally, the substantive meaning of the variables and parameters of the system is described, and the stages of research on this model are briefly presented. In the parameter space, a component is established, by controlling which we obtain relations that determine the predictable behavior of the system trajectory from any initial point corresponding to the substantive meaning. In the main part of the work, an algorithm for constructing discrete adaptive control is proposed, which allows reducing the information confrontation to a scenario advantageous for one of the parties. The example shows the procedure for using the model and the algorithm for building the control step-by-step. The numerical solution of the system of differential equations was performed using the solve_ivp module for solving ordinary differential equations of the SciPy library of the Python programming language.