It dealt with the controller design problem for switched neutral systems with two classes of uncertainties and time-varying delay in a range. Based on the average dwell time method, by choosing a piecewise Lyapunov-Krasovskii functional, delay-range-dependent corresponding sufficient conditions of the feedback delayed controllers were derived in terms of linear matrix inequalities. Moreover, much less conservative results was obtained. The effectiveness of the proposed robust control scheme was demonstrated by simulation examples.