TY - JOUR
T1 - On the relation between additive and multiplicative decompositions of rational matrix functions
AU - Ferrante, Augusto
AU - Pavon, Michele
AU - Pinzoni, Stefano
PY - 2003/3/10
Y1 - 2003/3/10
N2 - In this paper, a general frame to study relations between additive and multiplicative representations of rational matrix functions is presented. Various extensions of the positive real lemma, as well as of other classical factorization results, both in the continuous and discrete-time cases, are established. In the case of square factorizations, the map between solutions to an asymmetric algebraic Riccati equation and pairs of factors is shown to be a homeomorphism. In this framework, we also derive a geometric characterization of non-square factorizations.
AB - In this paper, a general frame to study relations between additive and multiplicative representations of rational matrix functions is presented. Various extensions of the positive real lemma, as well as of other classical factorization results, both in the continuous and discrete-time cases, are established. In the case of square factorizations, the map between solutions to an asymmetric algebraic Riccati equation and pairs of factors is shown to be a homeomorphism. In this framework, we also derive a geometric characterization of non-square factorizations.
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U2 - 10.1080/0020717031000079445
DO - 10.1080/0020717031000079445
M3 - Article
AN - SCOPUS:0142230427
SN - 0020-7179
VL - 76
SP - 366
EP - 385
JO - International Journal of Control
JF - International Journal of Control
IS - 4
ER -