Coefficient assignment by dynamic compensation for single input retarded delay systems

In the research reported on here, the task of Coefficient Assignment for Single Input Time Delay Systems was resolved using a Wolovich type compensator structure (frequency domain). Using some basic notions of polynomials in two variables, the set of compensators that will allow coefficient assignment can be completely characterized in a simple and explicit fashion. Both full order and reduced order compensators can be characterized. It is possible to reinterpret the results from a statespace point of view.