Exponential stabilisability of multidimensional linear systems with finite data rates
Nair GN., Evans RJ.
A critical notion in the field of communication-limited control is the lowest data rate above which a given system is stabilisable. In this paper the objective is to derive this rate for a multidimensional LTI system when exponential stability with a given decay is desired. By assuming an initial state probability density, a new quantiser distortion lower bound and an asymptotic quantisation result are able to be applied to derive the infimum stabilising data rate, under very mild requirements on the initial density. Furthermore, a stabilising scheme is explicitly constructed.