Abstract. This work presents a mathematical model for determining the coordinates of integrated groups of unmanned aerial vehicles (UAVs). The main application areas of UAVs and promising directions for the development of unmanned aviation systems, integrating complexes of remotely controlled vehicles, are analyzed. To improve the stability and reliability of interaction in such systems, stable structures of integrated groups are proposed. Special attention is given to methods for modeling integrated UAV groups, including mathematical description and computer simulation. The structures of integrated groups are analyzed, taking into account the criteria of topological stability during movement and the reliability of data transmission channels based on visible light communication (VLC) technologies. To obtain results, mathematical descriptions and corresponding computer models of integrated UAV groups were developed, meeting the criteria of topological stability and reliability of data transmission channels. Modeling was performed in Matlab R2020b, where computer models of UAV swarms were constructed in a three-dimensional coordinate system.
Additionally, the work considers different types of topologies for integrated UAV groups and their impact on the stability and reliability of system performance.

Keywords: method, group of unmanned aerial vehicles, control, model, data transmission channels, artificial intelligence.