This note considers the time-optimal control problem for plants with positive real eigenvalues and a single saturable control input. It is demonstrated that a previous analysis (Fuller 1973, 1974 a) of plants with negative real eigenvalues in simple ratio is also applicable, with certain restrictions, to plants with positive real eigenvalues in the same simple ratio. For a second-order plant a region of controllability in the state plane is algebraically determined. For third and higher-order plants, a region of controllability is partially defined.