Fixed-time quantized synchronization of spatiotemporal networks with output-based quantization communication via boundary control

Abstract

In the age of digitization and networking, as a significant interactive information mode, quantitative communication effectively alleviates communication pressure and improves transmission efficiency. Besides, boundary control has significant advantages over traditional full-domain control in reducing control cost and improving controller implementation. In view this, this article is concerned about fixed-time synchronization of spatiotemporal networks with Robin boundary condition and output-based quantization communication. Firstly, based on output information, a type of quantization communication mechanism is introduced into the network model. Subsequently, an output-based quantization controller is developed, which is distributed on the Robin boundary. As a result, several flexible fixed-time output and state synchronization criteria are obtained based on Lyapunov-like method and an artful matrix analytical technique, and the upper bound of the synchronization time is explicitly estimated. The derived results are further extended to spatiotemporal networks with Neumann and mixed boundary conditions. Note that there is no strict requirement on the output matrix compared with the previous semi-positive, non-singular or column full rank form. An urban public traffic network is presented at last to confirm the developed controllers and criteria.