Fixed-Time Synchronization of Fuzzy Complex Dynamical Networks With Reaction-Diffusion Terms via Intermittent Pinning Control

This article concentrates on the fixed-time synchronization (FxTS) problem for fuzzy complex dynamical networks (CDNs) with reaction-diffusion terms and multiple weights. First, a novel fixed-time convergence method is proposed, which relaxes the constraint on the derivative of the constructed Lyapunov functional and incorporates some of the existing results as special cases. Then, an intermittent pinning control scheme is designed to make the state trajectories of all nodes of fuzzy CDNs converge to the equilibrium point within a fixed time, which greatly reduces the control cost. On the basis of the newly presented convergence method and control scheme, several easy-to-verify criteria in the form of linear matrix inequalities are provided to guarantee the FxTS for fuzzy CDNs, and a more accurate estimation of the settling time is obtained. Finally, two examples are given to clarify the correctness of the established theoretical results.