Задачі автоматизованого керування динамічними процесами системного забезпечення безпеки України на основі моделей імпульсних процесів у когнітивних картах. Частина 1. Забезпечення демографічної безпеки

The paper provides a cognitive map (CM) of demographic security and a dynamic model of CM impulse processes described as a difference equations system (Robert’s equations). The external control vector for the CM impulse process is implemented by means of varying the CM nodes’ coordinates. A closed-loop control system for the CM impulse process is proposed. It includes a multivariate discrete controller designed based on an automated control theory method, which generates the chosen control actions. We solve a discrete controller design problem for automated control of dynamic processes to ensure demographic security. The controller suppresses external and internal disturbances during CM impulse processes control based on the invariant ellipsoids method. The paper presents an algorithm for CM weights identification based on the recurrent least squares method. We present the results of a qualitative research study on dynamic processes related to demographic security in Ukraine under various disturbances during martial law.