For uniformly completely controllable discrete time-varying linear systems, any prescribed union of disjoint closed intervals can be realized as the dichotomy spectrum of the closed-loop system by bounded feedback.
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Assignability of dichotomy spectrum for discrete time-varying linear control systems
For uniformly completely controllable discrete time-varying linear systems, any prescribed union of disjoint closed intervals can be realized as the dichotomy spectrum of the closed-loop system by bounded feedback.