L
2
and H
2
Spaces
§
L
2
(
j
R
) Space:
all complex matrix functions
F
such that the integral
below is bounded:
•
•
with the inner product
•
•
and the inner product induced norm is given by
§
RL
2
(
j
R
)
or simply
RL
2
: all real rational strictly proper transfer matrices
with no poles on the imaginary axis.