Synchronization of complex dynamical networks via sampled-data quantized feedback

This paper investigates the problem of synchronization for complex dynamical networks under sampled-data quantized feedback. It is assumed that the sampled measurements of all the errors between the state of the unforced isolate node and the states of nodes in the complex dynamical network are quantized by logarithmic quantizers. The effects of quantization errors are incorporated into the design of the synchronization controllers. Based on an appropriate Lyapunov-Krasovskii functional method and reciprocal convex techniques, synchronization criteria are provided. The design of the synchronization controller is given in terms of linear matrix inequalities. The effectiveness of the proposed method is illustrated by a numerical example.