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.TH dcf 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
dcf - double coprime factorization
.SH CALLING SEQUENCE
.nf
[N,M,X,Y,NT,MT,XT,YT]=dcf(G,[polf,polc,[tol]])
.fi
.SH PARAMETERS
.TP 12
G
: \fVsyslin\fR list (continuous-time linear system)
.TP
polf, polc
: respectively the poles of \fVXT\fR and \fVYT\fR and the poles of \fVN\fR
and \fVM\fR (default values =\fV-1\fR).
.TP
tol
: real threshold for detecting stable poles (default value \fV100*%eps\fR).
.TP
N,M,XT,YT,NT,MT,X,Y
: linear systems represented by \fVsyslin\fR lists
.SH DESCRIPTION
returns eight stable systems \fV(N,M,X,Y,NT,MT,XT,YT) \fR
for the doubly coprime factorization
.IG
.nf
!XT -YT! ! M Y !
! !*! ! = eye
!-NT MT! ! N X !
.fi
.FI
.LA $$ \left( \matrix{ XT & -YT \cr -NT & MT }\right)
.LA * \left( \matrix{ M & Y \cr M & X }\right)
.LA = eye $$
\fVG\fR must be stabilizable and detectable.
.SH SEE ALSO
copfac
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