Robust Exponential Stabilization of Uncertain Impulsive Bilinear Time-Delay Systems with Saturating Actuators

Abstract EN

This paper investigates the problem of robust exponential 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 discrete-time dynamics and the ones with stable discrete-time dynamics.

Sufficient conditions for robust stabilization are obtained in terms of linear matrix inequalities.

Numerical examples are given to illustrate the effectiveness of the theoretical results.