Design of coupling functions for global synchronization of uncertain chaotic dynamical networks

This Letter investigates the design of coupling functions for global synchronization of uncertain dynamical networks. Some coupling functions are constructed for ensuring the states of an uncertain dynamical network to globally asymptotically synchronize with any desired state of an isolate node of the network. In the design, the coupling functions are not required to be symmetric or linear. Even if the isolate node of the network is uncertain, global synchronization of the entire network can still be achieved. In particular, the proposed scheme can overcome the major shortcoming of some nearest-neighbor coupled dynamical networks, i.e., it cannot synchronize if the network size is sufficiently large. Finally, using Chua's chaotic circuit as the nodes of the network, the effectiveness of the proposed scheme is verified.