Abstract: The globally exponentially attractive set and synchronization problem of the brushless dc motor (BLDCM) chaotic system were researched. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, a sufficient condition for the globally exponentially attractive was given. Secondly, nonlinear feedback control was used to realize the synchronization of two chaotic
systems. Finally, numerical simulations were presented to show the effectiveness of the proposed chaos synchronization scheme.

Key words: synchronization, chaos, brushless dc motor chaotic system, globally exponentially attractive set, synchronization, chaos, brushless dc motor chaotic system