Spectrum control in linear stationary systems with delay

Abstract

In this paper, we shall study a linear stationary system of differential equations with delay argument. Control is found in such away that the closed system has the characteristic equation with given coefficients. For the canonical system we shall show that the unknown parameters can be computed by equating the coefficients of exponential polynomials of the same degree. For the general system first we shall use a linear transformation, and then show that the process of equating the coefficients demands an additional concordance condition. This condition is equivalent to setting certain summands equal to zero.