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This paper is concerned with robust stability for impulsive systems with polytope uncertainties. At first, the stability for impulsive systems without uncertainties is addressed by employing a Lyapunov-like functional. The Lyapunov-like functional is time-varying, discontinuous, and not imposed to be definite positive. Compared with the existing Lyapunov functional built on [t k , t], a part of the impulsive interval [t k , t k+1 ], the Lyapunov-like functional is two-sided in terms ofdoi:10.1109/access.2019.2918369 fatcat:rjzcs7ovejgylpiediooqcjzu4