Exponential stability for linear time-delay systems with delay dependence

This paper focuses on the problem of advancing a theorem to estimate the stability bound of delay decay rate alpha and upper bound delay time tau to guarantee the stability of time-delay systems. Based on the Lyapunov-Krasovskii functional techniques and linear matrix inequality tools, exponential stability and decaying rate for linear time-delay systems are also derived. These results are shown to be less conservative than those reported in the literature. Examples are included to illustrate our results. (C) 2003 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.