Delay-Dependent Robust Stabilization for Uncertain Time-Delay Systems

The problem of delay-dependent robust stabilization for uncertain system with time-delay is considered. By means of the Lyapunov function and linear matrix inequalities (LMIs) technique, a delay-dependent sufficient condition is derived for the existence of a state feedback controller, which ensures asymptotic stability of the closed system for all admissible uncertainties. Unlike previous methods, the mathematical development avoids system transforming and bounding certain cross terms which often lead to conservatism. In terms of the solutions of LMIs, the robust stabilization controller is presented. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method