Robust H∞ stabilization of uncertain linear time-delay system with delayed/undelayed state feedback controllers

This paper focuses on the H
∞
controller for linear systems with time-varying delays and normbounded parameter perturbations in the system state and On the existence of delayedjundelayed full state feedback controllers, we present a sufficient condition and give design method the form of Riccati equation. The controller can not stabilize the time-delay system, but make the H
∞
norm of closed-loop system be less than bound. This result practically generalizes the related results current literature.