On Mismatch between Initializations at Coder/Decoder in Quantized Control

Abstract

This paper analyzes the stability of linear systems with quantized feedback in the presence of a mismatch between the initial conditions at the coder and decoder. Under the assumption of the prefect channel, we show that using the scheme proposed in [Liberzon, Nešić (2007)] it is possible to achieve global exponential stability of linear systems with quantized feedback when the coder and decoder are initialized at different initial conditions.