Further Results on Robust Stability/Stabilization of Uncertain Linear Delayed Systems

A comprehensive discussion on the potential conservatism of a descriptor model transformation approach is given and the stability/stabilization of time-delay systems are reconsidered by using an integral inequality recently established. A refined delay-dependent stability condition, which includes the one by the descriptor model transformation approach as a special case, is derived. Neither any model transformation nor any bounding technique for cross terms is employed. Then, based on the new stability conditions combining with the matrix decomposition technique, a new stabilization criterion is obtained. Finally, some numerical examples are given to demonstrate the efficiency of the proposed method.