Pinning adaptive and impulsive synchronization of stochastic uncertain complex dynamical networks

In this paper, the global exponential synchronization of stochastic complex dynamical networks with uncertain coupling is mainly discussed. Pinning adaptive and impulsive strategies are employed by adaptive control theory and impulsive control theory. Some sufficient criteria for the exponential synchronization of stochastic complex dynamical networks are derived by Laypunov function as well as the comparison principle of impulsive differential equation. An effective method is given to select the nodes which should be controlled at each impulsive instant and less conservativeness is permitted due to the use of the average impulsive time. At last, a numerical simulation is given to illustrate the correctness and effectiveness of the theoretical results.