Delay-dependent robust stability for a class of uncertain time-delay systems

This paper studies the robust stability problem for a class of uncertain linear systems with time-varying delay. A vector inequality and the stability theory of Lyapunov are employed to derive a sufficient condition for the stability of uncertain time-delay systems. The obtained criterion can include information on the size of delay, and therefore, belongs to delay-dependent criterion. An illustrative example is given to show that the obtained criterion is better than the existing one in the literature