Semi-global finite-time synchronization of stochastic complex networks

This paper presents the problem of finite-time synchronization for stochastic complex networks. By establishing a novel finite-time ${\mathcal{L}}$-operator differential inequality, combining with inequality techniques, some novel sufficient conditions are obtained to ensure finite-time stochastic synchronization for the complex networks concerned. A novel control method is given to guarantee inner finite-time synchronization of the system, and the maximum time of convergence is estimated. Finally, one example with numerical simulations is given to demonstrate the effectiveness of our results.