Finite-Time Stochastic Synchronization of Multiweighted Directed Complex Networks via Intermittent Control

In this brief, finite-time synchronization (FTS) is addressed for directed multiweighted complex networks (MWCNs) with stochastic perturbations via intermittent control. Different from the previous FTS of single-weight networks, FTS of directed MWCNs is considered by introducing the allowable deviation synchronization bound. In synchronization analysis, a novel Lyapunov function is constructed by selecting a vector where the Chebyshev distance between this vector and their corresponding vectors for coupling matrices satisfies the allowable deviation synchronization bound. Furthermore, continuous control is not realistic due to limited resources. Accordingly, by discontinuous intermittent control, some suitable criteria can be derived to achieve FTS of directed MWCNs with stochastic perturbations. Finally, examples show the validity of the provided theoretical results.