Robust stabilization of uncertain impulsive time-delay systems with saturating actuators

Abstract

This paper is concerned with the problem of robust stabilization for uncertain impulsive bilinear time-delay systems with saturating actuators by using the Lyapunov function and Razumikhin-type techniques. Two classes of impulsive systems are considered: the systems with unstable (unstabilizale) discrete-time dynamics and ones with stable (stabilizable) discrete-time dynamics. Sufficient conditions for robust stabilization are obtained in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the theoretical results.