The trends of recent years, especially with the beginning of the aggression of the Russian Federation against Ukraine, testify to the significantly increasing requirements for increasing the efficiency of the management processes of state authorities, with a significant reduction in the management cycle time. At the same time, increasing the efficiency of task performance is impossible without the introduction of modern information technologies into work at all levels of state administration, and, as a result, the formation of a single information space. The article examines the peculiarities of the construction of modern automated control systems, which require the construction of territorially distributed, at the same time, heterogeneous (heterogeneous) computer networks, which must ensure the availability and reliability of the transmission of the necessary information, including in the conditions of the spread of the influence of logical interference (intentional — cyber-attacks on the part of hackers and unintentional actions of the user, system administrator, etc.), which in turn affect the creation of a single information space. Developed approaches to ensure the stability of heterogeneous computer networks that, in turn, use the equipment of Internet service providers in conditions of external and internal destabilizing factors. A mathematical model for assessing the stability of heterogeneous computer networks of critical purpose, under the influence of logical interference, is proposed. At the same time, the theory of percolation is used as a theoretical basis. This approach makes it possible to take into account the lack of reliable information about the stability indicators of network components that belong to various Internet service providers (not under the control of state administration bodies). Computer modeling based on the proposed mathematical model indicates an increase in the efficiency of the computer network as a whole.