rowinoutinner-outer factorizationSyntax[Inn, X, Gbar] = rowinout(G)ArgumentsG
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:
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:
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).
See also
syslin
colinout