Synchronization for Two-dimensional Continuous Coupled Dynamical Networks with Delays

This study addresses a synchronization problem for an array of 2-D (two-dimensional) continuous coupled dynamical networks with state delays, which is oriented from the well-known Roesser model. For such a 2-D complex network model, both network dynamics and couplings evolve in two independent directions. The purpose of this study is to establish sufficient easy-to-verify conditions ensuring the global synchronization through constructing an energy-like Lyapunov-Krasovskii function and making use of the Kronecker product. Finally, a numerical example is presented to illustrate the effectiveness of the proposed synchronization scheme.