Abstract

This paper investigates adaptive synchronization of fractional order multiplex networks. Firstly, an efficient fractional-order adaptive strategy with logarithmic quantizer is designed to achieve asymptotic synchronization. Subsequently, the synchronization of the networks is rigorously analyzed by using Lyapunov function method and the fractional differential inequality. Note that the developed control strategy is also feasible for the first-order multiplex networks. The feasibility of theoretical results is verified finally by providing a numerical model.

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