Stabilization by reduced-order controllers

A recent result by A. Linnemann (Syst. Contr. Lett., vol.11, p.27-32, 1988) gives conditions under which a continuous-time single-loop plant of order n can be stabilized by a reduced-order controller. Specifically, if the Euclidean algorithm is applied to the numerator and denominator polynomials of the transfer function and one of the remainders is a kth-order Hurwitz polynomial, then a stabilizing controller of order n-k-1 exists. The author provides an alternative proof of this result.<
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