Finite spectrum assignment problem for linear neutral-type systems in the class of differential-difference output-feedback controllers

We investigate the finite spectrum assignment problem for linear autonomous neutral-type systems using output-feedback controllers with lumped delays. We establish a connection between the solvability of this problem in the class of state feedback controllers and in the class of output feedback controllers. Finally, we consider an observer-based controller and validate the separation principle within the framework of the finite spectrum assignment problem.