Partial Pole and Zero Displacement by Cascade Connection

Abstract
Recent interpolation results for rational matrix functions with incomplete data are applied to solve a problem of shifting a part of the poles and the zeros of a given rational matrix function, keeping the other poles and zeros unchanged and the McMillan degree as small as possible. Recent interpolation results for rational matrix functions with incomplete data are applied to solve a problem of shifting a part of the poles and the zeros of a given rational matrix function, keeping the other poles and zeros unchanged and the McMillan degree as small as possible.