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Публікація Using digital twins and artificial intelligence for the synchronization of physical and virtual collaborative robots(2025) Lisovskyi, A.This study proposes an approach to synchronizing physical and virtual collaborative robots based on the concept of digital twins and artificial intelligence tools. The proposed mathematical models allow formalising the processes of reflecting the real state of robots in a digital environment and minimising synchronisation errors. Particular attention is paid to the use of prediction, data filtering, and reinforcement learning algorithms that ensure the adaptability and stability of the system. The paper analyses the advantages of direct, predictive, and hybrid synchronisation methods and evaluates their effectiveness in a multi-user environment. The use of artificial intelligence allows for an increase in the level of autonomy and safety of human-robot interaction. The results of the study demonstrate the promise of integrating digital twins into modern robotic systems and open up opportunities for creating scalable and flexible manufacturing solutions.