Robust exponential stability of uncertain impulsive delays differential systems

Abstract

This paper deals with the robust stability of a class of uncertain impulsive control systems with infinite delays. By employing the formula for the variation of parameters and estimating the Cauchy matrix, several criteria on robust exponential stability of the systems are derived, these criteria are less restrictive than those in the earlier publications. Moreover, the criteria can be applied to stabilize the unstable continuous systems with infinite delays and uncertainties by utilizing impulsive control. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the proposed method.