  The rate-regulation trade-off defined between two objective functions, one
penalizing the packet rate and one the state deviation and control effort, can
express the performance bound of a networked control system. However, the
characterization of the set of globally optimal solutions in this trade-off for
multi-dimensional controlled Gauss-Markov processes has been an open problem.
In the present article, we characterize a policy profile that belongs to this
set. We prove that such a policy profile consists of a symmetric threshold
triggering policy, which can be expressed in terms of the value of information,
and a certainty-equivalent control policy, which uses a conditional expectation
with linear dynamics.
