  In this paper, we show that for discrete time-varying linear control systems
uniform complete controllability implies arbitrary assignability of dichotomy
spectrum of closed-loop systems. This result significantly strengthens the
result in A. Babiarz et. al. Pole placement theorem for discrete time-varying
linear systems.SIAM J. Control Optim. 55 (2017), no. 2, 671-692 about arbitrary
assignability of Lyapunov spectrum of discrete time-varying linear control
systems.
