This note concerns the problem of the robust stability of uncertain neutral systems with time-varying delay and saturating actuators.The system considered is continuous in time with norm bounded parametric uncertainties.By incorporating the free weighing matrix approach developed recently,some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) with some tuning parameters are obtained.An estimate of the domain of attraction of the closed-loop system under a priori designed controller is proposed.The approach is based on a polytopic description of the actuator saturation nonlinearities and the LyapunovKrasovskii method.Numerical examples are used to demonstrate the effectiveness of the proposed design method. This note concerns the problem of robust stability of uncertain neutral systems with time-varying delay and saturating actuators. The system considered is continuous in time with norm bounded parametric uncertainties. By incorporating the free weighing matrix approach recently, some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) with some tuning parameters are obtained. Ann estimate of the domain of attraction of the closed-loop system under a priori designed controller is proposed. The approach is based on a polytopic description of the actuator saturation nonlinearities and the LyapunovKrasovskii method. Numerical examples are used to demonstrate the effectiveness of the proposed design method.