Finite time synchronization of Markovian jumping stochastic complex dynamical systems with mix delays via hybrid control strategy

This paper investigates finite-time synchronization problem for a class of Markovian jumping stochastic complex dynamical systems with mixed time delays. Hybrid controllers including nonlinear controller and impulsive controller are designed for the model to be finite-time synchronization. Based on stochastic analysis technique, Lyapunov function method and the inequality technique, some sufficient criterion for the stochastic complex dynamical networks are presented to guarantee finite-time synchronization. It is shown that the finite-time synchronization can be effectively realized by the designed hybrid controllers. Finally, numerical examples are provided to illustrate the theoretical results, which demonstrate that our results are effectiveness for the stochastic complex systems.