Adaptive Strong and Weak Synchronization for Perturbed Complex Networks

This paper presents adaptive methods to solve the synchronization problems of dynamic complex networks. Firstly, a complex network model is designed. Then, in order to achieve strong and weak synchronization, synchronization controllers and adaptive laws are designed. The adaptive laws are used for the renewal of unknown parameters, and the synchronization controller makes its error value in a small range. Then the Lyapunov function is used to prove the theory, and the simulation is used to prove the practice. Both results show that the proposed method can achieve strong synchronization and weak synchronization for nonlinear complex networks.