Synthesis of controllers for continuous-time delay systems with saturatingcontrols via LMI's

The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed, Sufficient condition s obtained via a linear matrix inequality (LMI) formulation are stated to g uarantee both the local stabilization and the satisfaction of some performa nce requirements. The method of synthesis consists in determining simultane ously a state feedback control law and an associated domain of safe admissi ble states for which the stability of the closed-loop system is guaranteed when control saturations effectively occur.