Delay-dependent H∞ synchronization for general delayed complex networks with stochastic disturbances
Lilan Tu, Shuifang Yin · Wuhan University Journal of Natural Sciences · 2013
In this paper, the H ∞ synchronization is intensively investigated for general delayed complex dynamical networks. The network under consideration contains unknown but bounded nonlinear coupling functions, time-varying delay, external disturbances, and Itô-type stochastic disturbances, which is a zero-mean real scalar Wiener process. Based on the stochastic Lyapunov stability theory, Itô’s differential rule, and linear matrix inequality (LMI) optimization technique, some delay-dependent H ∞ synchronization schemes are established, which guarantee robust stochastically mean square asymptotically synchronization for drive network and noise-perturbed response network as well as achieving a prescribed stochastic robust H ∞ performance level. Finally, detailed and satisfactory numerical results have validated the feasibility and the correctness of the proposed techniques.