Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application

Finite-time synchronization (FTS) of uncertain fractional-order memristive neural networks (FMNNs) with leakage and discrete delays is studied in this paper, in which the impacts of uncertain parameters as well as external disturbances are considered. First, the fractional-order adaptive terminal sliding mode control scheme (FATSMC) is designed, which can effectively estimate the upper bounds of unknown external disturbances. Second, the FTS of the master-slave FMNNs is realized and the corresponding synchronization criteria and the explicit expression of the settling time (ST) are obtained. Finally, a numerical example and a secure communication application are provided to demonstrate the validity of the obtained results.

Automated summary

This paper investigates the finite-time synchronization of uncertain fractional-order memristive neural networks (FMNNs) with leakage and discrete delays, considering the impacts of uncertain parameters and external disturbances. A fractional-order adaptive terminal sliding mode control scheme (FATSMC) is designed to estimate the upper bounds of unknown external disturbances effectively. The finite-time synchronization of the master-slave FMNNs has been achieved and the corresponding synchronization criteria and explicit expression of settling time (ST) are obtained. A numerical example and a secure communication application are provided to demonstrate the validity of the results.