This article is concerned with robust stability for linear impulsive delay systems with polytope uncertainties. For the linear impulsive delay systems without uncertainties, the stability is addressed by employing a Lyapunov-Krasovskii-like functional, which is comprised of a Lyapunov-Krasovskii functional and an auxiliary functional. By introducing integrals of the state, an augmented Lyapunov-Krasovskii-like functional is constructed. With an integral inequality proposed to deal with the derivative of the Lyapunov-Krasovskii-like functional, a stability criterion is derived for the impulsive delay system. Then the stability criterion is extended to linear impulsive delay systems with polytope uncertainties, and a robust stability criterion is obtained. Examples are given to illustrate the stability results are valid or of less conservatism than some existing ones.
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