Finite-time synchronization of coupled reaction–diffusion neural systems via intermittent control

Abstract To gain a better understanding of the zero-phase-lag synchronization mechanics of real neurons, this paper studies finite-time synchronization control for a class of reaction–diffusion neural systems coupled by small domains on their spatial boundaries, associated with an interaction graph. An intermittent control method is proposed, and the solution existence of the neural systems under control is investigated. In the case when the interaction graph is connected, a simple sufficient condition is provided for finite-time synchronizing the neural systems under the proposed control, and some case simulations are demonstrated to illustrate the effectiveness and potential of the control method.