Abstract: By means of the root locus approach it is shown that for a plant family P(s,δ) with Ho1der p-norm bounded parameter uncertainty δ, every pair of elements of P(s,δ) is simultaneously stabilizable if and only if every element of P(s,δ) is stabilizable. This result implies that the pairwise simultaneous stabilizability does not impose additional restriction on the solvability of the robust stabilization problem(RSP), thus the stabilizability of P(s,δ) is not so conservative as it appears and can serve as a criterion to exclude the part of P(s,δ) whose RSP is certainly unsolvable SO that the existing edge and vertex results can be more effectively applied.