Disturbance Decoupling problem for a class of Generalized State Linear Time-Delay Systems

The Disturbance Decoupling Problem by state feedback for linear generalized state systems with a finite number of commensurable point delays is formulated and investigated using as models linear singular systems with coefficients in a ring. Necessary and sufficient conditions for its solution are given in geometric terms, as well as algorithmic procedures to test them. Examples are worked out in details.