MAXIMUM SYNCHRONIZABILITY OF GENERAL TIME-INVARIANT DYNAMICAL NETWORKS

This paper shows that the maximum synchronizability of a general time-invariant dynamical network is completely determined by its associated internal feedback dynamics, which has a precise physical meaning in terms of synchronous communication. Also, a concept of synchronizability matrix is introduced to characterize the robustness of synchronization of the network. Based on the knowledge of synchronizability, we can purposefully increase the robustness of the network synchronization and better prevent it from attacks.