Adaptive H∞ synchronization for general delayed complex networks with external disturbance

The global adaptive H_∞ synchronization is intensively investigated for the general delayed complex dynamical networks. The network under consideration contains unknown but bounded nonlinear coupling functions, time-varying delay, and external disturbance. Based on the Lyapunov stability theory, linear matrix inequality (LMI) optimization technique and adaptive control, several global adaptive H_∞ synchronization schemes are established, which guarantee robust asymptotical synchronization of noise-perturbed network as well as a prescribed robust H_∞ performance level. Finally, numerical simulations have shown the feasibility and effectiveness of the proposed techniques.