In this paper reachability/controllability properties for networked systems described by uncertain polytopic linear plants subject to time-varying state delays and input constraints are analyzed. Up to our best acknowledge, previous technical contributions on the matter were not been capable to properly address time-delay occurrences. To this end a new result making it possible to efficiently compute the set of states that can be robustly steered in a finite number of steps, via state feedback control, to a given target set is here proposed. A final simple example is used to show the applicability of the proposed results.