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Impulsive control of a class of uncertain systems with small time delay

This paper studies impulsive control of a class of uncertain systems with small time delay. Some robust stability criteria for impulsive delay differential system are presented, based on which the impulsive control law can be easily designed. Our technique depends on Lyapunovpsilas direct method and comparison principle. Finally, we present the estimate of the upper bound of the uncertain constant time delay and impulse interval for robust asymptotically stable impulsive control.