  In this paper, we discuss various topological and metrical aspects of the set
of stabilizing static feedback gains for multiple-input-multiple-output (MIMO)
linear-time-invariant (LTI) systems, in both continuous and discrete-time.
Recently, connectivity properties of this set (for continuous time) have been
reported in the literature, along with a discussion on how this connectivity is
affected by restricting the feedback gain to linear subspaces. We show that
analogous to the continuous-time case, one can construct instances where the
set of stabilizing feedback gains for discrete time LTI systems has
exponentially many connected components.
