Abstract: In free-to-air inertial navigation systems, the transition from a mobile object-related coordinate system to an inertial system is
made using orientation parameters. For small autonomous mobile objects (AMO) as the latter it is advisable to use the kinematic
parameters of Rodrigue-Hamilton. Calculating these kinematic parameters and AMO navigation parameters is to solve differential
equation systems whose integration process can be effectively implemented in the neural network base. As a result, the entire AMO
motion control system, including the problem of recognizing the purpose of the lesion, can be implemented using the neural network
principles of the organization of the computational process.