  This paper deals with the exponential stabilization of a time-delay system
with an average of the state as the output. A general stability theorem with a
guaranteed exponential decay-rate based on a Wirtinger-based inequality is
provided. Variations of this theorem for synthesis of a controller or for an
observer-based control is derived. Some numerical comparisons are proposed with
existing theorems of the literature and comparable results are obtained but
with an extension to stabilization.
