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Complete synchronization between two identical discrete-time 2D hyperchaotic maps via fuzzy method

In this paper, a novel fuzzy synchronization method is proposed to synchronize two identical discrete-time 2D hyperchaotic maps. Firstly, the T-S fuzzy model of the considered discrete-time 2D hyperchaotic map is constructed. The simple T-S fuzzy model with four IF-THEN rules can represent the hyperchaotic map accurately. Then, according to the PDC technique, a simple fuzzy state feedback controller is designed. By choosing appropriate controller gain matrices, the complete synchronization can be reached. Finally, simulation results are given to verify the effectiveness of the proposed fuzzy synchronization method.