Abstract
In this paper, exponential stability for neutral time-delay systems is discussed. First a sufficient condition is driven by using the characteristic equation, which is corresponding to the small gain theorem in the input-output stability theory. Based on this condition, an LMI stability condition is given by estimating the bound of L∞ norm of the time-delay element using the Padé approximants. The condition can also be applied to retarded time-delay systems in a special case. Numerical examples illustrate that when the time-delay is relatively short the obtained condition is less conservative than previous LMI ones led from the Lyapunov stability theory.
