Abstract
In this paper, a class of coupled nonlinear reaction–diffusion complex network system are investigated with finite-time synchronization based on the event-triggered control. The study aims to develop nonlinear complex network systems with partial differential terms under Dirichlet’s boundary conditions by combining the distributed event-triggered control protocol with the Lyapunov stability theorem, Green formula, matrix inequality, and partial differential equation theory. Several sufficient conditions for the system to achieve finite-time synchronization with or without time delay are obtained. Furthermore, the upper bound of time can be estimated to achieve synchronization. Finally, numerical simulation is used to prove the effectiveness of the theory.
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