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rowinout(1) Scilab Function rowinout(1)
NAME
rowinout - inner-outer factorization
CALLING SEQUENCE
[Inn,X,Gbar]=rowinout(G)
PARAMETERS
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 (lxp) 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:
T
X (-s) X(s) = Identity
(for the continous time case).
SEE ALSO
syslin, colinout
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