L¥ and H¥ Spaces
§H¥- Space: H¥- is a
(closed) subspace of L¥ with
functions that are analytic and bounded in the open left-half plane. The H¥-
norm is defined as
RH¥- :
all proper real rational antistable transfer matrices.
Examples: H2 functions: 1/s+1, e-hs/s+2, …
H¥ functions: 5, 1/s+1, 5s+1/s+2, e-hs/s+2, 1/s+1+0.1e-hs,
…
L¥ functions: 5, 1/s+1,1/(s+1)(s-2), 1/s-1+0.1e-hs, …
