Synchronization of Complex Dynamic Network under One-Sided Lipschitz Nonlinear Condition

In this note, the synchronization problem of complex dynamic network system is investigated. By considering the more general nonlinear Lipschitz nonlinear conditions, the improved results of complex network system is obtained. By using the Lyapunov function method, the general complex dynamic network system framework is established. At the same time, Some generic mean square stability criteria are derived in terms of nonlinear conditions, which guarantee that the complex network system can be forced to some desired trajectory. Finally, the numerical example is proposed to demonstrate the effectiveness of this method.