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rowinout
inner-outer factorization
Syntax
[Inn, X, Gbar] = rowinout(G)
Arguments
- G
linear system (
syslin
list)[A,B,C,D]
- Inn
inner factor (
syslin
list)- Gbar
outer factor (
syslin
list)- X
row-compressor of
G
(syslin
list)
Description
Inner-outer factorization (and row compression) of (l
xp
) G =[A,B,C,D]
with l>=p
.
G
is assumed to be tall (l>=p
) without zero on the imaginary axis
and with a D
matrix which is full column rank.
G
must also be stable for having Gbar
stable.
G
admits the following inner-outer factorization:
G = [ Inn ] | Gbar | | 0 |
where Inn
is square and inner (all pass and stable) and Gbar
square and outer i.e:
Gbar is square bi-proper and bi-stable (Gbar inverse is also proper
and stable);
Note that:
[ Gbar ] X*G = [ - ] [ 0 ]
is a row compression of G
where X
= Inn
inverse is all-pass i.e: Xt(-s).X(s) = Identity
(for the continuous time case).
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