Finite-time synchronization of neutral complex networks with Markovian switching based on pinning controller

The finite-time synchronization problem is investigated for a class of neutral complex dynamical networks with Markovian switching, partly unknown transition rates and time-varying, mode-dependent delays. By utilizing the pinning control technique and constructing the appropriate stochastic Lyapunov–Krasovskii functional, several sufficient conditions are proposed to ensure the finite-time synchronization for the neutral complex dynamical networks with Markovian switching, on the basis of Kronecker product, inequality techniques and finite-time stability theorem. Finally, numerical examples and simulations are given to illustrate the feasibility and effectiveness of the proposed results.