Adaptive Synchronization of Complex Dynamical Networks: Dealing With Uncertain Impulses

The synchronization problem of complex dynamical networks with impulsive effects has been extensively addressed. However, great challenges arise when applying the existing synchronization criteria to networks with uncertain impulses. In this article, we investigate the adaptive synchronization problem of complex networks with uncertain impulses. First, the adaptive control gain is proved to be bounded for both synchronizing and desynchronizing impulses. Then, adaptive synchronization criteria for impulsive networks are derived from the boundedness of the control gain. Finally, a numerical example is provided to validate the proposed criteria.