Stability and H_∞ performance analysis for a class of impulsive differential systems

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.