Abstract

Based on Lyapunov stability theory and linear matrix inequality technique, the synchronization and anti- synchronization problem for a class of chaotic neural networks with delay was discussed, their own state feedback controller were presented, also the synchronization and anti-synchronization of this class of time-delay chaotic systems were realized in theory. Finally, this class of chaotic system was applied to secure communication, by system switching between the synchronization and anti-synchronization, a specific digital secure communication scheme was designed. The numerical simulation results verify the effectiveness of the method.

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