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