Stabilization of neutral time-delay systems

This paper addresses the stabilization problem for neutral time-delay systems. Starting from a transfer approach, we develop a general algebraic framework for the study of the stabilization. The stability considered in this paper is the exponential one. We introduce a class of generalized operators, and we show the existence of a coprime factorization over this class. The main result of this paper concerns strictly proper systems that are not formally stable. It is shown that any stabilizing compensator, which is a real rational fraction in two independent algebraic variables, is necessarily not proper