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The stability and H ∞ performance analysis of a class of impulsive differential systems are addressed by using a two-point boundary value problem method. For convenience of computation, a sufficient and necessary condition for the existence of a solution to the two-point boundary value problem is expressed using a set of linear matrix inequalities. As an application example, we apply the suggested method to deal with the sampled-data H ∞ filtering problem. A numerical example of a mass–spring system is used to verify the effectiveness of the theoretical result. [ABSTRACT FROM AUTHOR]