Adaptive pinning synchronization of the complex dynamical network

This paper investigates the synchronization of the complex dynamical network with nearest neighbor rule, by introducing effective adaptive strategies to the coupling strengths. Using the Lyapunov function method, we prove that the dynamical network described by connected graph can synchronize to the given state. In addition, we discuss the synchronization of the complex dynamical network for some special cases. Some simulations verify and illustrate the theoretical results finally.