TY - JOUR
T1 - MATRIX RATIONAL INTERPOLATION AND REALIZATION.
AU - Antoulas, A. C.
AU - Anderson, B. D.O.
PY - 1987
Y1 - 1987
N2 - The authors consider N scalar-matrix pairs (x,//i, Y//i//j//-//1) and look for certain rational functions Y(x) that interpolate these pairs. The solutions are parametrized in terms of the MacMillan degree of Y. There is no a priori properness requirement imposed on Y. It is shown that in case of interpolation at a single point of multiplicity N, the corresponding block Lowner matrix reduces to a block Hankel matrix. This shows that interpolation theory, as developed previously (1987) by the authors, generalizes the well-known realization theory.
AB - The authors consider N scalar-matrix pairs (x,//i, Y//i//j//-//1) and look for certain rational functions Y(x) that interpolate these pairs. The solutions are parametrized in terms of the MacMillan degree of Y. There is no a priori properness requirement imposed on Y. It is shown that in case of interpolation at a single point of multiplicity N, the corresponding block Lowner matrix reduces to a block Hankel matrix. This shows that interpolation theory, as developed previously (1987) by the authors, generalizes the well-known realization theory.
UR - http://www.scopus.com/inward/record.url?scp=0023563097&partnerID=8YFLogxK
U2 - 10.1109/cdc.1987.272633
DO - 10.1109/cdc.1987.272633
M3 - Conference article
AN - SCOPUS:0023563097
SN - 0191-2216
SP - 1356
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -