Delay-dependent conditions for robust absolute stability of uncertain time-delay systems

This paper is concerned witb the robust absolute stability analysis problem for a class of uncertain time-delay systems with nonlinearities satisfying a given sector condition. Based on the Lyapuoov stability theory and tbe linear matrix inequality (LMI) approach, a delay-dependent sufficient condition for the robust absolute stability is derived and is expressed as the feasibility problem of a certain LMI system. A maximum upper bound of tbe allowable delay is obtained by solving a convex optimization problem. Finally a numerical example isgiven to illustrate the proposed results.