Local stabilization of uncertain time-delay systems with saturating actuators

This paper considers the problem of local stabilization of uncertain contin uous-time systems with time-delay and saturating actuators. A new closed-lo op stability theorem based on the Lyapunov-Krasovskii stability theorem is obtained. Moreover, two methods are given to design a state feedback contro ller such that the stability region of the resultant closed-loop system is enlarged. Both the controller and the bound of the safe initial conditions can be obtained by solving LMI problems. Numerical examples are employed to demonstrate the effectiveness of the proposed techniques.