 
Summary: POLYNOMIAL AND RATIONAL MATRIX INTERPOLATION:
SYSTEMS AND CONTROL APPLICATIONS
Panos J. Antsaklis
Dept ofElectrical Engineering
University ofNotre Dame
Notre Dame, IN 46556
Email: antsaklisatn.ece.nd.edu
Abstract: In this paper, a theory of polynomial and rational
matrix interpolation is hintrodued and applied to problems in
systems and control. The polynomial matrix interpolation
theory is first outlined and then applied to solving matrix
equations; it is also used in pole assignment and other control
problems. Rational matrix interpolation is also discussed and
it is used to solve rational matrix equations including the model
matching problem.
I. INTRODUCTION
A theory of polynomial and rational matrix interpolation
is briefly outlined in this paper and its application to certain
systems and control problems is discussed; full details can be
found in [21].
