Nonlinear bounded control for time-delay systems

A method to derive a nonlinear bounded state feedback controller for a line ar continuous-time system with time-delay in the state is proposed. The con trollers are based on an e-parameterized family of algebraic Riccati equati ons or on an e-parameterized family of LMI optimization problems. Hence, ne sted ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov-Krasovskii theorem, the uniform asymptotic stability of the close d-loop system is guaranteed and a certain performance level is attained thr ough a quadratic cost function.