ANALYSIS OF A CHAOTIC SYNCHRONISATION SYSTEM UNDER INFORMATION CONSTRAINTS

In this work, we numerically investigate a state estimation problem for the chaotic Chua system involving finite communication channel capacity constraints. Evaluation of the asymptotic estimation error supports the conjecture that the minimum transmission rate should exceed maximum local entropy of the chaotic system over its attractor. It is shown that the first order time-varying quantizer with memory provides reasonable approximation for the minimum transmission rate.