Abstract
The stability and [Formula: see text] 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 [Formula: see text] filtering problem. A numerical example of a mass–spring system is used to verify the effectiveness of the theoretical result.
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