On L2 memoryless control of time-delay systems

This paper focuses on the design of L₂ memoryless controllers for a class of uncertain linear systems described by differential equations with delayed state and disturbances. We give sufficient conditions for the design of a memoryless state feedback control law which guarantees the delay-independent closed-loop stability with an L₂ norm bound constraint on disturbance attenuation. These conditions are derived in terms of algebraic properties of an adequate matrix pencil via a Lyapunov-Krasovskii functional based approach. The criteria proposed here are less conservative than earlier ones proposed in the literature