Finite-Time Projective Synchronization of Hyperjerk Systems Modeled With Fuzzy Recurrent Neural Networks

In this article, we present a terminal sliding-mode control method for the projective synchronization of unmodeled hyperjerk systems subject to parameter perturbation and external disturbances. We leverage fuzzy recurrent neural networks to identify unknown hyperjerk systems. We propose a control law for projective synchronization via the adaptive estimation of the unknown bounds of parameter perturbation and external disturbances. We theoretically prove that the proposed control law is able to achieve chattering-free projective synchronization in finite time. Finally, we elaborate on the simulation results to demonstrate the efficacy of the methods.