Synchronization Between A Fractional-Order and Integer Order Recurrent Neural Networks System with Time Delay Via Active Sliding Mode Control

Abstract

The idea is to propose a method to synchronize a fractional-order delay recurrent neural
networks system via active sliding mode control (FDRNNASM) with the integer-order delayed
recurrent neural networks system via active sliding mode control (IDRNNASM). The Active
Sliding Mode Control (ASMC) scheme is used to solve the synchronization problem between
FDRNNASM systems and the IDRNNASM system based on the fractional Lyapunov direct
method (FLDM). To analyze the characteristic of the FDRNNASM systems and the IDRNNASM
systems, we performed the numerical simulations technique by using the MATLAB software to
prove the efficiency and the stability of the archived results. This idea also can be extended to
secure communications by introducing double encryption using RSA encryption. This is because,
in the future, we believed that this extended idea can improve and enhance the security strength
of the systems that will provide powerful security in secure communications