Finite spectrum assignment problem of systems with multiple commensurate delays in states and control

Abstract

Abstract This paper presents a necessary and sufficient condition for finite spectrum assignability of systems with multiple commensurate delays in both states and control. A systematic design procedure of the control law is presented. The important point of the proposed method is that finite spectrum assignment can be accomplished without any extra integrators, in contrast to the suggestion given by Manitius and Olbrot (1979).