  In this paper, we consider controlled linear dynamical systems in which the
controller has only access to a compressed version of the system state. The
technical problem we investigate is that of allocating compression resources
over time such that the control performance degradation induced by compression
is minimized. This can be formulated as an optimization problem to find the
optimal resource allocation policy. Under mild assumptions, this optimization
problem can be proved to have the same well-known structure as in [1], allowing
the optimal resource allocation policy to be determined in closed-form. The
obtained insights behind the optimal policy provide clear guidelines on the
issue of "when to communicate" and "how to communicate" in dynamical systems
with restricted communication resources. The obtained simulation results
confirm the efficiency of the proposed allocation policy and illustrate the
gain over the widely used uniform rate allocation policy.
