Neutral-type time-delay systems that are not formally stable are not BIBO stabilizable
Jean Jacques Loiseau · IMA Journal of Mathematical Control and Information · 2002
It is shown that a time‐delay system of neutral type that is not formally stable cannot be stabilized, in the sense of bounded input bounded output (BIBO) Stabilization, by any feedback in the large class of distributed systems that are Laplace transformable, even using derivatives in the control law. As a result, a time‐delay system of neutral type is BIBO stabilizable if and only if it is formally stable and spectrally stabilizable.