This paper derives two stabilizability theorems for a basic class of
discrete-time nonlinear systems with multiple unknown parameters. First, we
claim that a discrete-time multi-parameter system is stabilizable if its
nonlinear growth rate is dominated by a polynomial rule. Later, we find that a
stabilizable multi-parameter system in discrete time is possible to grow
exponentially fast. Meanwhile, optimality and closed-loop identification are
also discussed in this paper