Stability for networked control system with quantization constraints

This paper studies the stability of linear time-invariant (LTI) single-input single-output (SISO) discrete-time networked feedback systems. Only quantization effect is considered and the quantizer is logarithmic. Second order stochastic input-output stability is studied. A stabilizing output feedback controller which is realized by Youla parameterization is adopted. We get a necessary condition to guarantee the closed-loop system stability in mean-square sense. This result also provides a method to design an output feedback controller to stabilize a linear system with multiplicative noise.