Spectrum control in linear stationary systems with delay

In this paper, we shall study a linear stationary system of differential eq uations with delay argument. Control is found in such away that the closed system has the characteristic equation with given coefficients. For the can onical system we shall show that the unknown parameters can be computed by equating the coefficients of exponential polynomials of the same degree. Fo r the general system first we shall use a linear transformation, and then s how that the process of equating the coefficients demands an additional con cordance condition. This condition is equivalent to setting certain summand s equal to zero. (C) 2000 Elsevier Science Ltd. All rights reserved.