Synchronization problem of 2-D coupled dynamical networks with communication delays and missing measurements

This study addresses a synchronization problem for an array of discrete-time two-dimensional (2-D) coupled dynamical networks with time-varying communication delays and missing measurements, 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 missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The purpose of this study is to establish sufficient easy-to-verify conditions ensuring the global mean-square synchronization through constructing an energy-like Lyapunov–Krasovskii function, making use of the Kronecker product and applying some stochastic analysis techniques. Finally, two simulation examples are presented to illustrate the effectiveness of the proposed synchronization scheme.