Finite Time Synchronization for Reactive Diffusion Complex Networks via Boundary Control

This paper investigates the finite-time synchronization problems of complex spatiotemporal networks with time delays and diffusion terms. First, a boundary controller based on Lyapunov stability theory, Wirtinger's inequality, and finite-time analysis is designed. Subsequently, sufficient conditions for finite-time synchronization are obtained, and the setting time of finite-time synchronization is estimated. Finally, a simulation example is given to demonstrate the effectiveness of the obtained result.