Abstract
The mathematical model in this work describes both pendulum and power systems with multiple generators equally. As is well known, the industrial revolution led to an increase in energy consumption, the majority of which is now consumed in the form of electrical energy by modern society. Thus, this raises the issue of its transportation over long distances. The mathematical model of a modern power complex, consisting of turbo generators and complex interconnected energy blocks, represents a system of nonlinear ordinary differential equations. The task of optimizing the operation of these complexes, as well as developing algorithms for motion stability in such systems, continues to attract the attention of many researchers and remains highly relevant. The industrial development of modern society leads to a constant increase in electricity consumption. To meet the ever-growing demands power complexes are being created. When mathematically modeling such complexes, it is necessary to address a number of theoretical and practical issues. Ensuring the stability of motion is a critical issue at the design and operational stages of the systems under investigation. This work is devoted to the study of the asymptotic stability of the motion of phase systems.