Coupling design for synchronization of fractional-order dynamical networks

In this paper we study the problem of network synchronization in an ensemble of fractional-order chaotic systems. We propose a novel global coupling scheme for synchronization in a network of fractional-order systems via the open-plus-closed-loop control. We then provide a sufficient condition for the asymptotic stability of the synchronization behavior on the basis of the stability theory of fractional-order differential equations. Furthermore, numerical simulations using the fractional-order unified chaotic systems as the network nodes are presented to validate and compliment the results of our analytical investigations.