Robust memoryless H∞ controller design for a class of time-varying uncertain linear time-delay systems

Mainly studies quadratic stabilization and robust H^∞ controller design for a class of time-varying uncertain linear time-delay systems. A static state feedback controller which stabilizes the plant and reduces the effect of the disturbance input on the controlled output to a prescribed levels for all admissible time-varying uncertainties is presented and the controller can be obtained by solving a modified algebraic Riccati equation. A sufficient condition for the existence of robust H^∞ controller is derived