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Robust Quadratic Stabilization of Uncertain Impulsive Switched Systems

This paper focuses on the quadratic stabilization problem for a class of uncertain impulsive switched systems. The uncertainty is assumed to be norm-bounded and enters both the state and the input matrices. Based on the Lyapunov methods, some results on robust stabilization and quadratic stabilization for the impulsive switched system are obtained. A stabilizing state feedback control law realizing the robust stabilization of the closed-loop system is constructed. Keywords—Impulsive systems; Switched systems; Quadratic stabilization; Robust stabilization.