The article considers the problem of modeling the functional evolving of multifunctional automated systems with dedicated subsystems. It is shown that the cyber-physical approach to the organization of automated systems allows us to move on to the creation of self-adaptive or self-developing multifunctional systems. At the same time, the management of adaptation processes requires embedding a model of a controlled object to predict the trajectories of changes in the suitability of the system. The model proposed in the paper is based on a self-developing three-component functional component (service, technical subsystem and control loop) and additionally takes into account the processes of degradation and recovery. Based on the values of the parameters of the evolving processes, the change in the functional suitability of the system as a whole is calculated. The influence of changes in the expectation value and the magnitude of the intensity of changes in the functional purpose of functional components, as well as the recovery time, is investigated. With a span of less than 0,1, the uneven loading of the modernization process control system increases. The critical values of the recovery time parameters are determined at which the full use of the control system capabilities is achieved, which leads to a sharp decrease in the coefficient of functional suitability of the system with an increase in these indicators. It is shown that the presence of interference when diagnosing the need for modernization leads to a significant decrease in the potential effect.