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This paper addresses the robust stability analysis of uncertain neutral systems with discrete and distributed delays. An innovative approach is developed for the derivation of delay-dependent stability criteria. Like other methods, the approach reported here also employes the technique of linear matrix inequalities. However, unlike the existing methods that are popularly used in recent publications, our approach employes neither free weighing matrices nor model transformation, and is thus much simpler.With the proposed approach, delay-dependent robust stability criteria are derived for the systems under consideration, leading to signi.cant improvement in the allowable delay bound. Numerical simulations are given to demonstrate the effectiveness of the proposed approach.