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.TH UNOBS G "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
unobs - unobservable subspace
.SH CALLING SEQUENCE
.nf
[n,[U]]=unobs(A,C,[tol])
.fi
.SH PARAMETERS
.TP 6
A, C
: real matrices
.TP
tol
: tolerance used when evaluating ranks (QR factorizations).
.TP
n
: dimension of unobservable subspace.
.TP
U
: orthogonal change of basis which puts \fV(A,B)\fR in canonical form.
.SH DESCRIPTION
\fV[n,[U]]=unobs(A,C,[tol])\fR gives the unobservable form of an \fV(A,C)\fR
pair.
The \fVn\fR first columns of \fVU\fR make a basis for the unobservable
subspace.
.LP
The \fV(2,1)\fR block (made of last \fVnx-n\fR rows and \fVn\fR first
columns) of \fVU'*A*U\fR is zero and and the \fVn\fR first columns
of \fVC*U\fR are zero.
.SH EXAMPLE
.nf
A=diag([1,2,3]);C=[1,0,0];
unobs(A,C)
.fi
.SH SEE ALSO
contr, contrss, canon, cont_mat, spantwo, dt_ility
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