Quasi-Synchronization of Parameter Mismatched CDNs with Multiple Impulsive Effects

This chapter is mainly focused on the global and exponential synchronization problem for a class of complex dynamical networks with nonidentically coupling and time-varying delays. Since the mismatched parameters in different systems, the quasi-synchronization issue instead of complete synchronization is investigated based on the application of impulsive control schemes. In view of the concept of average impulsive interval, the extended comparison principle for impulsive systems and some matrix calculation techniques, sufficient conditions for the achievement of quasi-synchronization of coupled complex neural networks are obtained. Moreover, some extended value ranges for impulsive effects taking are presented according to that the impulse could either play an effective role or play an adverse role in the synchronization of the coupled networks. In addition, based on the extended variation formula for the parameters of the impulsive systems with time-varying delay, the exponential convergence velocities and the quasi-synchronization errors are estimated, respectively, with considering different functions of the impulsive effects. Finally, three numerical simulations with different functions of the impulsive effects are shown to illustrate the effectiveness of theoretical analysis and the control protocols.