Aerospace Instrument-Making Annotation << Back Controllability, Observability and Stability of Intelligent Geometric Control Systems for UAV Trajectory Movement Khachumov M.V. The paper considers the architecture of a hierarchical three-level intelligent geometric control system that integrates the capabilities of intelligent dynamic systems and geometric control. Intelligent control is an effective procedure for controlling a complex dynamic system in an uncertain environment that combines planning with operational error compensation. Geometric control is associated with solving a number of optimization trajectory problems. The paper presents the main defi nitions of controllability, observability, and stability within the framework of the theory of geometric, intelligent, and intelligent-geometric control for calculating motion trajectories, adaptation, and stabilization in a dynamic environment with disturbances. Some theorems related to controllability and stability of automatic control systems and dynamic intelligent systems are presented. A scheme for modeling the motion of an unmanned aerial vehicle and the results of experimental studies are presented. unmanned aerial vehicle, trajectory, motion, controllability, observability, stability, disturbances, intelligent geometric control. DOI: 10.25791/aviakosmos.10.2025.1513 Pp. 31-44.