The synchronization of linear systems under quantized measurements

This paper studies the synchronization of high order linear systems in the presence of quantized relative state information. Using the Lyapunov method and non-smooth analysis, it is shown that when a uniform quantizer is used, the original multi-agent system can reach finite-time practical synchronization under the given communication protocol. It is also pointed out that when a logarithmic quantizer is considered, the given systems can reach synchronization under some conditions. The obtained results generalized the existing results of single integrator systems and double integrator systems. Numerical examples are given to illustrate the given results.