Abstract
In this paper, the finite-time complete synchronization of fractional-order multiplex networks is investigated by using a hybrid feedback controller. Firstly, by utilizing fractional-order differential inequalities, some innovative sufficient conditions are derived to guarantee complete synchronization for fractional-order multiplex networks in a finite time. The settling time obtained in most articles is independent of the order of fractional-order, however, this paper shows an explicit expression for the settling time in the multiplex networks, which can reveal the relationship between the settling time and the order of fractional-order. Moreover, the issue of finite-time complete synchronization for fractional-order multiplex networks when there are no inter-layer couplings or intra-layer couplings are considered, and it is found that the intra-layer couplings and the inter-layer couplings have great influence on the network synchronization region. Finally, the theoretical results which we derived are attested to be indeed feasible through numerical simulations.
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